1. Establish a formula for cos (30)

Q: 15 Suppose that tan ɑ = and 90° <a < 180°. 8 Find the exact values of cos 5 and tan-

A: Given, tanα =-158, 90°&lt;α&lt;180°

Q: 17 Find the exact value of cos20 given csc0 and -< 0 < TI 8.

A:

Q: 8. Find the exact value of cos 75°.

A: Given cos75°We need to find th exact value of cos75°

Q: 15. Evaluate 2 (3x + cos 4x) dx

A: The given integral is: I=∫0π2 3x+cos(4x) dx

Q: if x is in III, and cos x= - 8/17. Determine the exact value of sin 2x and cos 2x

A:

Q: 1) Verify the power reducing formula, cos-x= 0:1 holds true for x = and x= =.

A: Here I am attaching image so that you understand each and every step.

Q: 1. (a) Use the Wallis cosine formula to evaluate [ cos' x dx.

A: We need to find  ∫0π2cos9xdx by using Wallis cosine formula. We know that,  Wallis formula ,  If  n…

Q: Find θ with 0 ≤ θ < 2π and cosθ=−3–√2

A:

Q: 6) What is the period of the function f(x) = 7sin(2x) – cos(5)? Is the function g(x) = 7xsin(2x) –…

A:

Q: 39. Does not exist; cos e – 2 lim 00- cos e – 2 lim 00+ and

A:

Q: 4.) Prove the identity. csc e Csc 20 2 cos e

A:

Q: 4. If 0° <0 < 90° and cos e= , find cos 20.

A: Here given as

Q: prove the identity  sin^4(t) - cos^4(t) = 2sin^2(t) - 1

A: We know that ,  sin 2 ( t ) + cos 2 ( t ) = 1  cos2 ( t ) = 1 - sin 2 ( t )

Q: 3) Find the exact value of: cos 1° + cos 2º + cos 3º + …+ cos 358° + cos 359° ...

A: The trigonometric identity is cos x+cos y=2cosx+y2cosx-y2 and cos360°-θ=cosθ.

Q: Find the smallest positive period of the following functions 1) cos(x) Ans. 27 2) sin(x) Ans. 2n

A:

Q: Suppose <e<0and tan 0 =-2. Evaluate cos e and sin 0. 2/2

A: It is given that,

Q: Locate and identify the absolute extreme values of cos (ln x) on [1/ 2, 2].

A:

Q: Evaluate cos 0 within AABC. 13 12 cos 8 Enter your next step here

A:

Q: 1) VERIFY THE POWER REDUCING FORMULA, cos"x : cos 2x+1 HOLDS TRUE FOR 2 x = - AND x =

A: To verify:   cos2x=cos2x+12, for x=π3 and x=π2   NOTE: As per our answering guidelines, we can only…

Q: Calculate the value ofsin30° – tan45° + cos60° – cot45° O 2 O -1 O 4

A: To determine the value of: sin30°-tan45°+cos60°-cot45° Concept: Values are:

Q: 1) Using the formula: cos(x + y) = cos x cos y – sin x sin y, prove in steps 1+cos 2 x that: cos? x…

A: In the question it is asked to calculate the solution of cos2x=1+cos2x2 using the formula cos(x+…

Q: 4. The following is called a reduction formula: sec" xdx = tan x sec sec -2 xdx n-1 n-1 Show how it…

A:

Q: e identity: cos 3x = 4 cos x-3 X So

A: # we are entitled to solve one question at a time please resubmit the other question if you wish to…

Q: Example L[은 (1- Find cos wt

A:

Q: Let tan A = 12/5 with A in Q1. Find exact value for cos(2A)

A:

Q: 5. 3 If tan B = - with * <B < 2n , find cos (2ß). %3D

A: It is known that in the first quadrant all trigonometric ratios are positive, in the second quadrant…

Q: 5 and 12 If tan e = < e < 2n, compute cos e and csc e. Do not use a calculator.

A:

Q: (1) Evaluate the following functions 1. In(3-i6) 3. cos (1+i3) , 2. e(0 52) , 4. tanh (2-i5)

A: As per guidelines, we solve only first question. 1. Given      ln3-i6

Q: Compute cos (cos-1(3/2)) O 3/2 O This quantity does not exist.

A:

Q: Question in image.

A: We have to find the exact value of the given expression making use of sum or difference formula…

Q: 2-Find O for: y3tan? (cos x).

A: Using Chain rule we can solve the given derivative problem

Q: If cos (alpha + beta ) = 0 , then sin (alpha - beta ) can be reduced to ?

A:

Q: if Sn0=4. and cos a=5 evalute witrout 13 using Aables Cos (eta)

A:

Q: cos(-pi/12)

A:

Q: (7) Determine the exact value of cos 4

A: By trigonometry ratio ,we get

Q: 33. Use the addition formula to compute cos (4 + 4) exactly.

A:

Q: 1 Evaluate Le' cos 2t +÷sinh 2t

A:

Q: 1. Use an identity to find the value of cos (0+ 90°). sin 0 cos 0 O - cos 0 O - sin e

A: We have to find the following

Q: Find the exact value of cos. O undefined 1/2

A:

Q: For cos2(xy) = - evalu COS 4

A: Given

Q: 1. (a) Use the Wallis cosine formula to evaluate [ cos° xdx.

A: Given, ∫0π2cos9xdx

Q: 1. Find the exact value of cos 7x/12

A:

Q: 1 Find the exact value of cos(20) if sin(0) O 3 7 9. /3 3 1/9

A:

Q: 2 /5 If cos(a) = - with π<α< compute the exact value of the following: 2 cos(2a)=| sin 2 tan 2

A: To find the required values we need to use the double angle formula and the half angle formulas.…

Q: 4. Determine the exact value of cos 6.

A:

Q: Find the value of cos-1(2) using Euler's formula.

A: We find cos-1(2) , by using Euler's formula.

Q: 34) find the Maclaurin senes for fC2)= Cos 32

A:

Q: 87 cos e do %3D O 4

A: In this question we have to evaluate the Integration.

Q: Find the solution to 6 + 5 cos () = 10 that are in [0,38]  . Use at least 4 decimal places.

A: