1+sin(2x) 6) Prove the trigonometric identity = 1+ sec(x) csc(x) sin(2x)

Q: sin 2.x Using Half Angle identities, verify sin 2 cos 2 2 sin x

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: (sin°(3x) + sin²(3x)) cos(3x) dx

A: We have to find the indefinite integral.

Q: 1- sin x cos x 1- sin x cos x

A: We can solve as follows

Q: | sin 5x sin xdx

A:

Q: 6. sec (sin-1 x)

A: Interconversion

Q: Verify the identity.

A: To prove - sin2x+sin6xsin2x-sin6x = -tan4x cot2xProof - Taking left hand side of the given identity…

Q: sin'x+ cos x sinx 3 ,2. tan x sec x = 2 cos"x

A: use simple trigonometric relations to prove it.

Q: sin(2x) cos(2x) Prove sec(x) sin(x) cos(x)

A: Trigonometry

Q: sin x 1+ cosx 1+ cosx sin x 2cscx 2secx 01

A:

Q: ∫〖sin〗^3 xdx

A: Consider the indefinite integral ∫sin3x dx. To solve this integral first rewrite the integrand using…

Q: Cotx-tanx=cos(2x)/sin(x)cos(x)

A:

Q: 2. sin 2x 1 - sin² x = 2 tan x

A: Aim: To show that sin(2x)1-sin2(x)=2tan(x)

Q: Verify the identity.

A: Use the trigonometric identities sinA+sinB=2sinA+B2cosA-B2 and cosA+cosB=2cosA+B2cosA-B2 to simplify…

Q: 3 lim 2 x2.tan=.sin- X-00

A: We have to evaluate limx→−∞x2⋅tan2x⋅sin3x It can be written as…

Q: sin^4x - cos^4x/sin^2x - cosx =1. prove the identity.

A:

Q: sin (3x) + cos (3x) cos(x) – =1+4sin(x)cos(x)

A: We use sin(3x)= 3sinx-4sin3x and cos (3x)= 4cos3x-3cosx .

Q: Establish each identity.

A:

Q: 1. sin (-x)(sin(-x) + 1)

A: Given; Sin(-x)[Sin(-x)+1].

Q: sin x 1+cosx 2csc x= 1+cos x sinx

A:

Q: cos(-x)+sin(x=x) Q4 prove that sinx 2

A:

Q: 2. cotx = sin xsin π 2 --x+cos² x cotx

A:

Q: sin x 1+ cosx 1+ cosx + sin x 2cscx 2secx 01

A:

Q: cos(x) – cos³ (x) = cos(x) sin²(x)

A: Here we use basic trigonometric relations,  We have,      Sin²(x) +Cos²(x) = 1         1— Cos²(x) =…

Q: sin x COsx Prove 2tanx secx - - cosx 1+ sin x

A: We use the identity sin2x + cos2x=1

Q: tan x -cot x sin x cos X %3D tan2x-cot2x 1-sin x %3D 1+ sin x 4. (sec x- tan x)² 3.

A: 3)tanx-cotxtan2x-cot2x=sinxcosxL.H.Stanx-cotxtan2x-cot2x=tanx-cotxtanx+cotxtanx-cotx=1tanx+cotx=1sin…

Q: 1 - sin x           1 - sin x ---------   -   ----------- = 4 secx tanx 1 - sin x           1 +…

A:

Q: 1- cos () 1- cos(x) 1- sin°(;) 1+ cos(x)

A:

Q: sin² x x cos²x csc²x-cot²x 4csc²2x

A: This is the question from other math, finite math and counting and identity.

Q: 4 sin 0-2 csc 0= 0 with 0 degrees

A: We use sin0=0 and csc0=1/sin0

Q: sin5x + sinx Verify the identity. = tan 3x cos 5x + cos.x

A: To verify the identity. sin5x + sinxcos5x + cosx = tan3x

Q: 7- I = [sec(2x) tan(2.x)dx cos(2x) 8- I = dx 4-sin (2x) csc (In(x)) 9. I: dx

A:

Q: sin4 x cos5 x dx

A: To solve: The integral ∫ sin4xcos5x dx Formula used: cos2x=1-sin2x Power rule of integration:…

Q: sin (-11x) lim x→0 _tan(9x)

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: sin 3x-sin x Prove tan x. cos 3x+cos x

A:

Q: (Sin X-cos X)^2=1-sin 2x

A: Formulae to note: (a-b)2=a2+b2-2ab. 2 sin x cos x=sin2x. Sin2x+Cos2x=1.

Q: sin 4x cos 3x sin 2x tan 3z dx

A: (NOTE- Since it seems to be a typo mistake so, assuming that in the given integral all the variables…

Q: integral sin2 x cos3 x

A:

Q: csc*x - cot"x = (1 + cos²x)/sin²x

A:

Q: 1+sin θ=(sec θ-tan θ)^2 +1

A: To evaluate theta.

Q: rove the identity. sin(3x)/sin(x)cos(x)=4cos(x)-sec(x)

A:

Q: cos 4x cos(-2x) – sin 4x sin(-2x)

A:

Q: cos 2x-sin x 4. -(tan x +secx) %3D sin 2x - cos x

A: Given: prove that cos2x-sinxsin2x-cosx=-tanx+secx For verifying given expression, we solve left hand…

Q: sinx + sin 2 Evaluate | cosx A. -In cos x|– x+ C В. In'secx-x+ C C. -In|sec x|+ x+C D. In sec x|+x+C

A:

Q: sin² x + cos²x sin² X -dx

A: NOTE: Refresh your page if you can't see any equations. . the given integration is

Q: sin(-5z) cos (6z)

A: Given: ∫sin-5zcos6zdz

Q: 1- sin(-x) 11. cos x+ cos(-x)sin = sec x

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: 1- sin 0 Prove that = sec 0 - tan 0 1+ sin e

A: Square on both sides of the given relation We get