Find x so that sin 3x + 10 cos x+ %3D

Q: Verify the identity. (7 cos x-4 sin x)2 + (4 cosx+7 sin x)2 = 65

A: Given,           7cosx-4sinx2+4cosx+7sinx2=65

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

A:

Q: Integrate  cos(8x) . sin^2 (8x)

A:

Q: Prove that sin -1 x + cos -1  x = pie /2

A: We have to prove:

Q: Verify the identity.

A: We have  cosx-5π2=sinx   It is known that cosA-B=cosAcosB+sinAsinB   Consider LHS:…

Q: Evaluate 3 .9 sin (15x) cos (15x) dx.

A:

Q: Prove: sin (2 cosx) = 2x1-x

A:

Q: Verify the identity. cos x = sin x sin 2x + cos x cos 2x

A: we have to verify the identity

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: Prove using the IVT. tan-1x = cos-1x has a solution.

A: Given :                      tan-1 x = cos-1 xSolve :                     tan-1 x = cos-1 x…

Q: EX/Show that cos"x (1+ cos2x)

A:

Q: Evaluate ∫sin 3x cos 5x dx

A: Given: I=∫sin3xcos5xdx                                                          ...1 for finding…

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

A:

Q: Let ƒ(x) = (cos( − 4x – 5)) (sin(6x − 2)). Then ƒ'(x) =

A: f(x)=(cos(-4x-5))(sin(6x-2))

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: Find the value of cos(4x) if = 4. 3 1-cos(x)-sin(x)

A: trigonometry

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: Express the product sin 7x cos 3x as a sum or difference.

A: Given information: The given expression is sin7xcos3x. Concept used: 2sinAsinB=sinA+B+sinA-B…

Q: Verify. esc (x) [I-cos(2x)] = 2 sin (x) SC

A:

Q: Prove sin (90◦+x) + sin (90◦−x) = 2 cosx

A:

Q: The suitable substitution to evaluate sin24(x+2) dx is None 1 [1- cos4 (r+2)] [1+ cos8(r + 2)]…

A: Topic- integration

Q: - 3in 2 X sin X- COSX

A:

Q: Prove the identity. cosx- cos 7x tan 3x %3D sinx+ sin 7x

A: Here we use basic formulas of trigonometric ratios to find addition and subtraction.

Q: Evaluate. de (sin(5x – 1)] cos(5æ – 1) 5 - sin(5æ – 1) 5 · cos(5æ – 1) • 5· cos(x)

A:

Q: 4. Prove that cos(sin¬1 x) = /1 – x².

A: cos(sin-1x)=1-x2⇒sin-1x=cos-1(1-x2)Let y=sin-1x                               (1) ⇒siny=x…

Q: provethat 2. 1- cosx +Sin'x

A:

Q: Evaluate sin 3x cos 5x dx.

A:

Q: Prove the below cos' x sin 3x + sin' x cos 3x 3 sin 4x 4 II

A: Simplification of trigonometry function

Q: verify sin2(x)+cos2(x)=1

A:

Q: Evaluate the integral: 3 X sin ³ COS 3 3 X col 3

A: Solved below.

Q: Prove the identity. + sin 3 cos x- cosx

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: Prove cos* x – sin* x =1–2sin² x

A:

Q: Prove the below 3 sin 4x 4 cos' x sin 3x + sin' x cos 3x |

A:

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

A: Given: sin4xcosx

Q: Prove that 55 sin x² dx - 5 cos x² dx = 1/2 √

A:

Q: Prove: sin² x + 2 cos²x − 1 = cos²x -

A:

Q: Show that sin²(x) cos(x) = sec(x) – cos(x)

A: We need to show the following. So,         Manipulating right side=secx-cosx=1-cos2xcosx=sin2xcosx

Q: sin(x - ) = -COS X 2

A:

Q: The suitable substitution to evaluate | sin 4(x+2) dx is None (1- cos8(x +2)] [1- cos4(x + 2)]…

A: Given that: ∫sin24(x+2)dx

Q: Verify the identity. sin 5x + sin 3x 2 cos x 4 sin x cos3 x - X – 4 sin x cos x 3.

A:

Q: . Evaluate cos 3x sin² 3x dx

A:

Q: Prove the identity. sin 2x cotx %3D 1- cos 2x

A:

Q: Prove that sin 4A = 4sinA cos³A – 4 cosA sin'A.

A: we have to show that the following

Q: Prove the below 3 sin 4x 4 cos' x sin 3x + sin' x cos 3x

A:

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.