cos 30° + sin 45°. NCERT Solutions For Class 12 Physics; NCERT Solutions For Class 12 Chemistry; NCERT Solutions For Class 12 Biology; Value of Sin 45°+ cos45° Trigonometry Table 0 to 360: Trigonometry is a branch in Mathematics, which involves the study of the relationship involving the length and angles of a triangle. Find the value of cos x - 4 tan x if sin x = 3/5. = cos60cos45+sin60sin45 = cos 60 cos 45 + sin 60 sin 45. cos(45−(30)) cos ( 45 - ( 30)) Apply the difference of angles identity cos(x−y) = cos(x)cos(y)+sin(x)sin(y) cos ( x - y) = cos ( x) cos ( y) + sin ( x) sin ( y).IG CoLearn: @colearn. Q. Free math problem solver answers your algebra, geometry, trigonometry In trigonometry, trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables for which both sides of the equality are defined.3 Systems of Nonlinear Equations and Inequalities: Two Variables; 9.sin 15. The exact value of is . sin 30° ------ (2) We know that sin 45° = 1/√2, cos 45° = 1/√2 Then find the exact value of the expression. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. This is something I wasn't expecting. cos(45−(30)) cos ( … \sin (75)\cos (15) \sin (120) \csc (-\frac{53\pi }{6}) prove\:\tan^2(x)-\sin^2(x)=\tan^2(x)\sin^2(x) prove\:\cot(2x)=\frac{1-\tan^2(x)}{2\tan(x)} … 1 2 1 2 The result can be shown in multiple forms. Find the Exact Value sin (45)+cos (45) Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Pass; Skill Academy; Free Live Classes; Free Live Tests & Quizzes; Previous Year Papers; Doubts; Practice; Refer & Earn; All Exams; Our Selections SOLUTION: whats the exact value of cos 15.2 Systems of Linear Equations: Three Variables; 9. Make the expression negative because cosine is negative in the second quadrant.. It may be defined based on a right triangle or unit circle, in an analogical way as the sine is defined: The cosine of an angle is the length of the adjacent side divided by the length of the hypotenuse. The cosine of 45. √2 2 2 2 The result can be shown in multiple forms. Cos 45degrees = cos (1/4 × π). As we know from above that sin 15 = (√3-1)/2√2 and cos 15 = (√3+1)/2√2, so we get that. The value of sin10∘sin30∘sin50∘sin70∘ is : Q. The exact value of is . Value of cos 15 degrees. Substituting the values, we get: cos 45° = 1 / √2. Middle School Math Solutions - Inequalities Calculator. The exact value of cos(45) cos ( 45) is √2 2 2 2.
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Since cos (α) = b/c, from this definition it follows that the What is cosine in Mathematics? Cosine function, along with sine and tangent, is one of the three most common trigonometric functions. Matrix. Solution. Free math problem solver answers your algebra, geometry, trigonometry Answer: Using the values of sin 15 and cos 15 we can compute the value of the product sin 15 cos 15. We know that, cos 15 ° = cos 45 ° - 30 ° = cos 45 ° cos 30 ° + sin 45 ° sin 30 ° ∵ cos A - B = cos A cos B + sin A sin B = 1 2 3 2 + 1 2 1 2 Put cos 45 ° = 1 2, cos 30 ° = 3 2, sin 45 ° = 1 2 sin 30 ° = 1 2 = 3 2 2 + 1 2 2 = 3 + 1 2 2 Hence, the required value is cos 15 ° = 3 + 1 2 2 Suggest Corrections 182 The value of Cos 15 is 0. Lượng giác Ví dụ. They are distinct from triangle identities, which are The #cos 45 =1/sqrt2= sqrt2 /2# Answer link. It may be defined based on a right triangle or unit circle, in an analogical way as the sine is defined: The cosine of an angle is the length of the adjacent side divided by the length of the hypotenuse. NCERT Solutions. Solve your math problems using our free math solver with step-by-step solutions. By using formula cos (A – B) = cos A cos B + sin A sin B, cos (45 – 30) = cos 45 cos 30 + sin 45 sin 30 Explanation: sin45cos15 +cos45sin15.sin 15. cos 40 = 0,766 For cos 135 degrees, the angle 135° lies between 90° and 180° (Second Quadrant ). View Solution. Precalculus. Each of sine and cosine is a function of an angle, which is usually expressed in terms of radians or degrees. Tìm đáp án. Tap for more steps The result can be shown in multiple forms.sin Tìm.5 0. Tap for more steps Cancel the common factor of 2 2 and 4 4. Lượng giác. The table of cosines of angles from 181 to 360. cos (α) = adjacent / hypotenuse = b / c. We should learn it like cos 0° = sin 90° = 1 cos 30° = sin 60° = √3/2 Cosine definition. Find the Exact Value cos (15 degrees ) cos (15°) cos ( 15 °) Split 15 15 into two angles where the values of the six trigonometric functions are known. √2 2 ⋅ 2 2 + √6+√2 4 2 2 ⋅ 2 2 + 6 + 2 4 Detailed step by step solution for cos(45)cos(15) Trigonometry. Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. In trigonometry, we write the cosine of angle 45° mathematically, and its exact value in fraction form is 1/√2. cos (45° – 30°) = cos 45°.9659258. Submit.7071067.5 0. π 6.7071067. square root 2 divided by 2. cos (a - b) = cos (a)cos (b) + sin (a)sin (b) We will use these to solve for what cos75 and cos15 are. Exact value of cos 25cos 15 - sin 25. sin 15° cos 45º + cos 15° sin 45º.) Find the exact value of the expression.algebra. Question.1 Sample Problem 3.ytitnedi selgna fo ecnereffid eht ylppA . Tap for more steps √6 - √2 4 cos(45)cos(15)sin(45) The exact value of cos(45) is √2 2. Step 2. Hasilnya dapat ditampilkan dalam beberapa bentuk. Solution.2k points) trigonometric functions; circular functions; class-11 +1 vote.06 fo enisoc ehT . Multiply √2 2 ⋅ π 180 2 2 ⋅ π 180. Matrix. Q. Simplify cos (45)cos (15)-sin (45)sin (15) cos (45)cos (15) − sin(45)sin (15) cos ( 45) cos ( 15) - sin ( 45) sin ( 15) Simplify each term. I know these numbers are not 100% exact, but I wasn't expecting complementary angles giving different results of sin and cos: This following function returns 0.
. The range of the angle values is usually between 0° and 180°.1. We know that cos (a − b) = cos a cos b + sin a sin b So, = cos 15 = cos (45 − 30) = cos 45 cos 30 + sin 45 sin 30 = 1 #cos(15)= cos(45-30)# The cosine difference identity is: #cos(A-B) = cosAcosB+sinAsinB# ∴ #cos(15) = cos(45)cos(30) + sin(45)sin(30)# We can use the unit circle to work out the values. The exact value of is . In this case, A = 75° and B = 15°.c ,2√ . Integration. Step 5.70710678… 0. Cooking Calculators. Subtract from . Maths cos 45 degrees Cos 45 Degrees The value of cos 45° is equal to 1/√2. Here are some other special angles: Linear equation.5 Matrices and Matrix Operations; 9. These ratios are Sine, cosine, and tangent in trigonometry. (from www. First find (cos 15). Explanation: We can write that cos15˚ = cos(60˚ −45˚). The exact value of is . x 2 + y 2 = 1 2. To rationalize the denominator, we multiply both the numerator and denominator by √2: cos 45° = (1 / √2) * (√2 The value of (sin 45° + cos 45°) 3 is _____. The exact value of cos75° cos15° + sin75° sin15° is equal to 0. Step 7. The cosine of 0. It is the complement to the sine. Simplify each term. Exact Form: 1 2 1 2 Decimal Form: 0. Click here:point_up_2:to get an answer to your question :writing_hand:the value of cos 15 o. Next up in our Getting Started maths solutions series is help with another middle school algebra topic - solving Read More. Step 2. Tap for more steps √3 2 The result can be shown in multiple forms. Cosine only has an inverse on a restricted domain, 0 ≤ x ≤ π. Cos 45degrees = cos (1/4 × π). ∴ sin45cos15 +cos45sin15 = sin(45 +15) = sin60 = √3 2. MATHEMATICS. Separate negation. Cos 15 º can be calculated in few ways, one of them being Cos 15 º = Cos (45-30) º and the other being Cos 2θ=2Cos2θ-1, In this if Ɵ = 15 º then Cos 15 º can be calculated by using Cos 30 º using the trigonometric table.4 Partial Fractions; 9. (ii) cos 60° cos 30° + sin 60° sin 30° = cos 30 Click here👆to get an answer to your question ️ the value of cos2 45o sin2 15o is $$ Then I got $$ (\sqrt{3}-2) \sin(15^°) = \cos(15^°). Since cos (α) = b/c, from this definition it follows that the What is cosine in Mathematics? Cosine function, along with sine and tangent, is one of the three most common trigonometric functions.70710678118654757000000 cos (45 * PI / 180. Step 6. However, remember that they work only for angles between 0 ° 0\degree 0° and 90 ° 90\degree 90°. See tutors like this. The cosine function is one of the three main primary trigonometric functions and it is itself the complement of sine (co+sine). It is in the form sinacosb + cosasinb. Multiply √2 2 ⋅ √2 2 2 2 ⋅ 2 2.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11 and Class 12, IIT JEE prep, NEET preparation and CBSE, UP Board, Bihar Board, Rajasthan Board, MP Board, Telangana Board etc Find exact value of sin (105) Ans: (sqrt(2 + sqrt3)/2) sin (105) = sin (15 + 90) = cos 15. Tap for more steps Cancel the common factor of 2 2 and 4 4.955. This discussion focuses on a specific, highly significant Value of sine 15 degrees can be evaluated easily.5 Matrices and Matrix Operations; 9. Hint: We know cos30° if somehow we can convert cos15° into cos30° then we can find the value of cos15°. In any right triangle, the cosine of an angle is the length of the adjacent side (A) divided by the length of the hypotenuse (H) 2. Given that cos (A − B) = cos A cos B + sin A sin B, find the value of cos 15 o. Sudut 15 derajat merupakan salah satu sudut bukan istimewa yang tentu tidak kita hafalkan nilainya, akan tetapi bisa kita Effective and Patient Math Tutor. Find the exact value of \cos 105^\circ using the fact that 105^\circ = 135^\circ - 30^\circ. Our results of cos45° have been rounded to five decimal places. Verified by Toppr. Step 4. How to find the exact value of cos 15° using the value of sin 30°? Solution: For all values of the angle A we know that, (sin A/2 + cos A/2)^2 = sin^2 A/2 + cos^2 A/2 + 2 sin A/2 cos A/2 To convert degrees to radians, multiply by π 180° π 180 °, since a full circle is 360° 360 ° or 2π 2 π radians. cos 45 degrees = √ (2)/2. To properly use the above identities, we should think of two numbers a and b that are easy identities for us to use.707106…を電卓で計算するやり方について明らかにしていきます。 三角関数表の中のコサイン(cos)の表に光を当てて、値の計算の仕方を紹介していきます。 コサインの表とは下のような表のことです。 角度 Find the value of cos 15 Open in App. The exact value of cos(45) cos ( 45) is √2 2 2 2.0); while this following function returns 0. The table of cosines of angles from 0 to 180. Differentiation. cos(45) Natural Language; Math Input; Extended Keyboard Examples Upload Random. Step 8. Bentuk Eksak: √2 2 2 2.3 Systems of Nonlinear Equations and Inequalities: Two Variables; 9. ⇒ cos 135° = cos 495° = cos 855°, and so on. Prove that sin10+sin 30+sin 50+sin 70 =root3÷16. Solve your math problems using our free math solver with step-by-step solutions. cos B + sin A. For cos For memorising cos 0°, cos 30°, cos 45°, cos 60° and cos 90° Cos is the opposite of sin. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music… Find the value of cos 15 Open in App. View More.It is, however, tricky.sin 45". Copy. Find the Exact Value cos(15) Step 1. View Solution. The value of (sin 45° + cos 45°) is a. The whole trigonometric functions and formulas are designed based on three primary ratios. Differentiation. There are 2 steps to solve this one. More.com Nhanh chóng, chính xác Basis of trigonometry: if two right triangles have equal acute angles, they are similar, so their corresponding side lengths are proportional. ⇒ cos 45° = cos 405° = cos 765°, and so on. The values of sine and cosine of 30, 45, and 60 degrees are derived by analysis of the 30-60-90 and 90-45-45 triangles.7 Solving Systems with … Best Answer.70710678… 0. cos 15° can be written as cos 15 = cos (45° - 30°) ------- (1) Now, we need to apply the formula cos (A - B) = cos A. Split into two angles where the values of the six trigonometric functions are known.1. Use the calculator and round to the nearest thousandth: cos − 1 ( − 0.The value of (sin 45° + cos 45°) is √2 Doubtnut is No.com) #cos(15) = sqrt2/2·sqrt3/2 + sqrt 2/2·1/2# #cos(15)= sqrt2/4(sqrt3+1)# Introduction to Systems of Equations and Inequalities; 9. Split into two angles where the values of the six trigonometric functions are known. We know that cos (a − b) = cos a cos b + sin a sin b So, = cos 15 = cos (45 − 30) = cos 45 cos 30 + sin 45 sin 30 = 1 The value of Cos 15 is 0. Related questions. o = sin 15° cos 45° + cos 15° sin 45º = (Type a trigonometric expression. Sep 13, 2015 Consider the idea that a triangle will always have an angle sum of #180^o#. From the trigonometric identities we know that cos 2θ = 2cos2θ − 1 cos 2 θ = 2 cos 2 θ − 1, in this double angle formula if we put θ = 15° then we get cos15° in terms of cos30° hence we can find the value of cos15°.5 Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Related Videos. (since cos 15 is positive) sin (105) = cos (15) = sqrt(2 + sqrt3)/2 Value of sin(45+there)cos(15+there) cos(45+theta)sin(15+theta): Login.e. Copy. cos 90 ° = 0. Tap for more steps Step 2. It is the complement to the sine.766 Use the trig identity: cos (a + b) = cos a,cos b - sin a. Q. cos(45−(30)) cos ( 45 - ( 30)) Free trigonometric function calculator - evaluate trigonometric functions step-by-step.Simplify cos (45)+cos (15) cos (45) + cos (15) cos ( 45) + cos ( 15) Simplify each term. sin B. What are some sum and difference identities examples? How do you use the sum and difference identities to find the exact value of #cos 15^@#? Standard Values of Trigonometric Ratios.1. Những bài toán phổ biến. asked Jul 26, 2021 in Trigonometry by Dheeya (31. Tap for more steps Step 1. We use this decomposition to apply the angle addition formula, so we input it into the sum and difference identities calculator: α = 30, β = 45.70710678 … Alternate form Number line Continued fraction Fraction form Download Page POWERED BY THE WOLFRAM LANGUAGE Related Queries: sin (pi/4), cos (pi/4), tan (pi/4), cot (pi/4), sec (pi/4), csc (pi/4) period cos (2t+3/4 pi) {cos (180 deg), cos (150 deg), cos (120 deg), cos (90 deg), cos (60 deg), cos (45 deg), cos (30 deg)} special cases of cos (x) cos45.
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Tìm Giá Trị Chính Xác cos (15 độ ) cos (15°) cos ( 15 °) Chia 15 15 thành hai góc trong đó các giá trị của sáu hàm lượng giác cơ bản đã biết. asked Jul 26, 2021 in Trigonometry by Dheeya (31. cos 45° = √ (2)/2. Using the difference identity #cos(A - B) = cosAcosB + sinAsinB#:. If the angle is expressed in radians as , this takes care of the case where a is 1 and b is 2, 3, 4, or 6.8 Solving Systems with Cramer's Rule Best Answer. Exams SuperCoaching Test Series Skill Academy. Simplify sin(15)cos(45)+cos(15)sin(45) Step 1.. Tap for more steps √3+ 1 4 − √3−1 4 3 + 1 4 - 3 - 1 4. cos 45 ° = 1 2√2 1 2 2. Also, since x=cos and y=sin, we get: (cos(θ)) 2 + (sin(θ)) 2 = 1 a useful "identity" Important Angles: 30°, 45° and 60°.1.4. The exact value of cos(30) cos ( 30) is √3 2 3 2. You should try to remember sin Find exact value of tan (45 + 30). cos(45−(30)) cos ( 45 - ( 30)) Apply the difference of angles identity cos(x−y) = cos(x)cos(y)+sin(x)sin(y) cos ( x - y) = cos ( x) cos ( y The function spans from -1 to 1, and so do the results from our arccos calculator.. Solve your math problems using our free math solver with step-by-step solutions. Cos 45 degrees. Simultaneous equation. If \cos y = x \cos (a + y) and \frac {dx} {dy} = \frac {k} {1 + x^2 - 2x \cos a}, then find value of k. In the figure below, the portion of the graph highlighted in red shows the portion of the graph of cos (x) that has an inverse. Step 2. Step 3. Find the value 37+(-21)-26+15-(-2)+(-9). Summary: Trigonometric identities are equations that relate to different trigonometric functions and are true for any value of the variable that is there in the domain. cos B + sin A. Using the formula for cosine, we have: cos 45° = adjacent side / hypotenuse. Answer link. Note: Since, cosine is an even function, the value of cos (-45°) = cos (45°). Use the identity cos ( θ) = cos ( − θ) to find that the second solution within [ − π, π] is − 1. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. Since the cosine function is a periodic function, we can represent cos 45° as, cos 45 degrees = cos (45° + n × 360°), n ∈ Z.1. . Since cosine function is positive in the first quadrant, thus cos 45° value = 1/√2 or 0. Proof : We will write cos 15 as cos (45 – 30).1. Cos 15 º can be calculated in few ways, one of them being Cos 15 º = Cos (45-30) º and the other being Cos 2θ=2Cos2θ-1, In this if Ɵ = 15 º then Cos 15 º can be calculated by using Cos 30 º using the trigonometric table. For cos 15 degrees, the angle 15° lies between 0° and 90° (First Quadrant ).) Find the exact value of the expression.2. If cos 2θ = sin 4θ, here 2θ, 4θ are acute angles, then the value of 'θ' = A) 60° B) 30° C) 45° D) 15° cos45° = √ (2)/2. Verified by Toppr. cos(45−30) cos ( 45 - 30) Separate negation. First, we isolate the trig expression: 16 cos ( 15 x) + 8 = 2 16 cos ( 15 x) = − 6 cos ( 15 x) = − 0. You can see this as follows: imagine a circle with radius 1. Separate negation.6 Solving Systems with Gaussian Elimination; 9. In the given triangle, the adjacent side to the 45° angle is 1, and the hypotenuse is √2. cos 15° can be written as cos 15 = cos (45° – 30°) ------- (1) Now, we need to apply the formula cos (A – B) = cos A. The cos 45 degrees, symbolized as cos(45°) holds a special place in the fascinating world of trigonometry, we encounter key concepts related to cos(45°) that serve as the foundation of this mathematical discipline. In any right triangle, the cosine of an angle is the length of the adjacent side (A) divided by the length of the hypotenuse (H) Given trigonometric function is cos 15 °-sin 15 ° cos 15 ° = cos 45 °-30 ° = cos 30 ° cos 45 Linear equation. . Selain menggunakan sudut ganda, juga akan menggunakan rumus dasar pengurangan sudut pada trigonometri. 1 answer. Split 75 75 into two angles where the values of the six trigonometric functions are known. Limits. We know that cos (a − b) = cos a cos b + sin a sin b So, = cos 15 = cos (45 − 30) = cos 45 cos 30 + sin 45 sin 30 = 1 Explanation: For cos 45 degrees, the angle 45° lies between 0° and 90° (First Quadrant ). Find the value of cos 15 Open in App. Vui lòng chỉ chọn một câu hỏi. sin 30° ------ (2) We know that sin 45° = 1/√2, cos 45° = 1/√2 We can write that #cos15˚ = cos(60˚ - 45˚)#.9 ;sesrevnI htiw smetsyS gnivloS 7. Exact Form: 1 2 1 2 Decimal Form: 0. Differentiation. Trigonometry is a branch of mathematics concerned with relationships between angles and ratios of lengths. Apply the difference of angles identity. = [ (√3) 2 - 12] / 8 by the formula of a 2 -b 2. We should learn it like cos 0° = sin 90° = 1 cos 30° = sin 60° = √3/2 Cosine definition.96592582, it can also be written as Cos (45-30) º. Since cosine function is positive in the first quadrant, thus cos 15° value = (√6 + √2)/4 or 0. Explore more. You may get its approx. Standard Values of Trigonometric Ratios. Cầu 3: Tính a) A= cos15,cos 45°. The exact value of cos(45) cos ( 45) is √2 2 2 2. For instance, we can observe that 75 = 30 + 45 (we say why we chose these numbers further down). square root 2 divided by 2. The cosine of an angle is a fundamental measure that plays a vital role in many mathematical and physical phenomena.)03 - 54( soc sa 51 soc etirw lliw eW : foorP . Both arccos and cos -1 are the same thing. Study Materials. Verify each of the following: (i) sin 60° cos 30° − cos 60° sin 30° = sin 30°. The exact value of is . cos15 = √3+1 2√2 cos 15 = 3 + 1 2 2. Trigonometri.Except where explicitly stated otherwise, this article assumes Lượng giác Ví dụ. Here, we had the convenience that all the functions admit positive この記事では、cos 15° = 0. You may have seen that trigonometric functions are used directly on a triangles only when you have a right triangle.4 Partial Fractions; 9. ), after calculation, the NCERT Exemplar Class 10 Maths Exercise 8. Trigonometry Find the Exact Value sin (15)cos (45)cos (15)sin (45) sin(15)cos(45)cos(15)sin(45) The exact value of sin(15) is √6 - √2 4. Arithmetic. sin 15° cos 45° + cos 15° sin 45° Write the expression as the sine, cosine, or tangent of an angle. In the illustration below, cos (α) = b/c and cos (β) = a/c. tan(45^@)=1 sin(45^@)=sqrt2/2 cos(45 The value of cos 15 degrees is \(\sqrt{3} + 1\over 2\sqrt{2}\). 2. The exact value of is . cos 30 ° = 1 2√3 1 2 3. Since the cosine function is a periodic function, we can represent cos 15° as, cos 15 degrees = cos (15° + n × 360°), n ∈ Z.9659258. Multiply √2 2 ⋅ √2 2 2 2 ⋅ 2 2. The arc 40^@ doesn't have exact functional value.9 ;selbairaV owT :snoitauqE raeniL fo smetsyS 1.3. cos 0 ° = 1. Free math problem solver answers your trigonometry homework questions with step-by-step explanations. en.cos 15 - sin 25. = [ (√3-1) (√3-1)] / (2√2) 2. Tap for more steps √2 2 + √6+√2 4 2 2 + 6 + 2 4 To write √2 2 2 2 as a fraction with a … Detailed step by step solution for cos(45)cos(15) Trigonometry. . Solution Find the value of cos 15 °.The above formulas rely on the fact that the angles to either side of the = = = sign are complementary, i.965925…を求める処理方法について解説していきます。 三角関数表の中のコサイン(cos)の表に着目して、値の計算方法を明らかにしていきます。 コサインの表とは下記のような表のことです。 角度値角度値 cos45° $\displaystyle \frac{1 Calculate the value of the cos of 45 radians To enter an angle in degrees, enter cos(45) or cos(45DEG) cos(45 radians) = 0. To calculate cosine online of π 6. Tap for more steps √3 - 1 4 + √3 + 1 4 Simplify terms. Pythagoras' Theorem says that for a right angled triangle, the square of the long side equals the sum of the squares of the other two sides:. The value of (sin 45 ∘ + c o s 45 ∘) is : Prove that (i) sin80° cos20° - cos80° sin20° = √3/2 (ii) cos45° cos15° - sin45° sin15° = 1/2 (iii) cos75° cos15° + sin75° sin15° = 1/2. The value of cos 15 degrees is \(\sqrt{3} + 1\over 2\sqrt{2}\).. tan(45^@)=1 sin(45^@)=sqrt2/2 cos(45^@)=sqrt2/2 45^@ is a special angle, along with 30^@, 60^@, 90^@, 180^@, 270^@, 360^@. . In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.. value by calculator.5 Free math problem solver answers your algebra, geometry, trigonometry, calculus, and … Trigonometry Find the Exact Value sin (15)cos (45)cos (15)sin (45) sin(15)cos(45)cos(15)sin(45) The exact value of sin(15) is √6 - √2 4. There are 2 steps to solve this one. After that, you can start your calculations. … Trigonometry Simplify sin (15)cos (45)+cos (15)sin (45) sin(15)cos(45) + cos(15)sin(45) Simplify each term. . Tap for more steps √3 - 1 4 + √3 + 1 4 Simplify terms.