Q3) Use the addition formulas to derive the identity of (cos (x --): sin x ) %3D

Q: 4. Establish the identity: sec ar - secr sin2 = cos LIC HS O6Y

A: Establish the identity

Q: → find period of 8- @yotan 2 y. 5 cos 1o* 10 yo 11

A:

Q: Evaluate 3x cos(x2) da.

A: According to question,Given Integral,∫3x cos x2 dx

Q: Q4// Find the value of csc(sec-1 2) + cos(tan=²(-V3)).

A: Here  given as Use some trigonometric formula as

Q: Suppose = cos 4- Evaluate: |dx A - 3sin sin x-4+ C © -)+c -x- 3 3sin

A:

Q: Use the addition formulas to derive the identities

A: We will use cos(A-B)=cosAcosB+sinAsinB formula with A=x and B=π/2

Q: Q5. If coshx = csc20, prove that 0 = n+ cothe¯. [Hint: use identity sin(2a + 2n)] %3D

A: given that                                                                             coshx=csc2θ…

Q: The suitable substitution to evaluate / sin²4(x +2) dx is (1- cos8(r + 2)] [1+cos8(x+2)] None 1 [1-…

A: We have to find the suitable substitution to evaluate the following integral -  ∫sin24(x+2) dx

Q: 2 cos(5x) – 5 x² – 2 sin(3x) – x2 – 3x - lim - - (Write your answer in the given box)

A:

Q: Verify the identity sec-1 x = cos-1(1/x), for x ≠ 0.

A: According to the question, we have to verify the identity sec-1x=cos-11x. As the above function is…

Q: If sec² A is 5/2 the quantity 1 - sin² A is equivalent to

A:

Q: 4. y = tan¬1(3x) cos 1 4x 5. y =

A: To determine the derivative of given functions. Here we will use the following formulas-…

Q: Use an identity to solve the equation on the interval [0,2x). sin 4x cos x- sin x cos 4x = 2

A: Given: sin 4x cos x -sin x cos 4x =22

Q: Combine two fractions by using a common denominator sin x b) cos x= 1 %3D 1+ cos x

A: As value of cosθ and sinθ revolves around +1 to -1 , they take different values depending on the…

Q: 3. Are reduction formulas needed to evaluate sin x cos? x dx? Why or why not?

A:

Q: Use th Start! 1- cos 2x

A: Given:1-cos2x/cos2x To simplify we use some trigonometric properties

Q: To evaluate sin42x cos 2x dx , the identities to be used is/are: sin22x = 1- cos?2x В cos²2x = 1-…

A: Check the identities

Q: e in Q2, find Sin (2e) with 6 If csce -6,

A:

Q: 2. * 1 Add File 3. * 1 y = tan x + =tan³x 3 4. * y = = cos x 1 Add File y 1 cos³x 3 1 cosx

A:

Q: To evaluate sin*2x cos 2x dx , the identities to be used is/are: sin4x, 1- cos4x A 2 B cos²2x=1-…

A: Solution:-  This types of trignometric integrals can be solve by reduction formula of integral.

Q: find solution set of tan-1x-cot-1x=cos-1(2-x)

A:

Q: Establish the identity. (5-) - sin cos 0 %3D

A: Given,          sinπ2-θ=cosθWe know that,           sinA-B=sinAcosB-cosAsinB

Q: How does ±√((csc^2x-1)/(csc^2x)) equal on of these: secx, cosx, sinx, tanx, cotx, cosx, or 1

A:

Q: 7. B- Show that: (1) lime-0 tan 8 (2) tan 0 sec20 =D1 %3D do

A: Solve

Q: Use an identity to solve the equation on the interval [0, 2π).

A: the given equation is: sin2x cosx+cos2x sinx=22 we have to solve the  equation using the identity.…

Q: Verify the identity. (Simplify at each step.) 6 cos (T/2) – x 6 tan x sin (1/2) – x 6 cos (u/2) – x…

A:

Q: Y= 5-e- COSX by %3D

A: Given: y=5-e6y=cosx( This question is don't have to specify word  find  and how to find the answer)

Q: Verify the identity: sin (3π/2 - x) = -cos x

A: To prove  sin (3π/2 - x) = -cos x

Q: Cos2x dx (1-sin2x)4

A:

Q: Prove the identity. ex(1- sin'x) = So cosx | %3D

A: Prove the identity- Secx(1 - sin2x) = cosx. We know that : sin2x + cos2x = 1 Here i attached…

Q: find maclurin formula in the fourth degree for f(x)=tanx

A:

Q: Choose the correct answer If f(x)=ln⁡(cos⁡(3x)) , then f"(x) =…  -9 sec2 (3x)  9 cos2 (3x)  9 tan2…

A: Derivative problem....

Q: What is the lim (3)¯ I 7 sec (7x) cos(3x)?

A:

Q: 4 dx 1– cos(4x)

A: Given that the integral ∫4 dx1 - cos 4x. Evaluate the given integral.           The formula used are…

Q: Express the product sin 4x cos x as a sum or difference.

A: Given: sin4xcosx

Q: If cos x= √7/4 and 3 π/2 (less than) x (less than) 2 π, find tan x/2

A: If cos x= √7/4 and 3π/2 < x 2π, find tan x/2

Q: To evaluate sin42x cos 2x dx , the identities to be used is/are: sin4x, 1+ cos4x &- 2 (А) (B) cos?2x…

A:

Q: What strategy would you use to evaluate ∫sin3 x cos3 x dx?

A:

Q: Solve y' = y3 cos x (Show clear work!)

A:

Q: cosh(3i)is equal to O -cos3 O cosh 3 cos 3 O sin 3

A:

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. csc(x) = 6, tan(x) < 0 sin(2x) %D…

A: Given that cosecx=6 , tanx&lt;0find out the value of sin2x, cos2x and tan2x

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. csc(x) = 8, tan(x) < 0 %3D sin(2x)…

A:

Q: 1. Which expression is equal to sec x tan z sin x using identities?

A: We can use simple trigonometric identities to solve the given equation.

Q: 1. Verify the expression cos(x) + sin x tan x = secx.

A: Given, cos x + sin x tan x = sec x

Q: Use the Substitution Rule to prove that∫sin2ax dx =(x/2) -(sin(2ax)/4a )+ C

A: Given:∫ sin2 ax dx

Q: To evaluate sin 2x cos 2x dx , the identities to be used is/are: sin4x , 1+ cos4x A 2 2 ® cos?2x=1-…

A: To find The identities to be used.