sin(v3t) (b) L-- [tan- )) (a) L dt

Q: sinx 4 COS x cos*. COS x

A: In this question, the concept of Integration is applied. Integration Integration is a method of…

Q: secx-tan x cos x %3D 1+sin x secx+tanx

A: consider the left hand side of the equation sec x -tan xsec x +tan x sec x -tan xsec x +tan x=1cos x…

Q: (Integral sign) tan^4 x sec^6 x dx

A:

Q: (sin°(3x) + sin²(3x)) cos(3x) dx

A: We have to find the indefinite integral.

Q: sin(4-y)sin(3-y)dy

A: Use the formula sin(A) sin(B)=12(cos(A-B)-cos(A+B))Consider…

Q: sinr cos (x - y) - cosx sin (x - )

A: As we know that the trigonometric identities: sinA-B=sinAcosB-cosAsinB   Given:…

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 (x) – cos²(x) Show that 1 F COS %3D CSC (x)

A:

Q: tanx secx+1 %3D tanx secx-1

A:

Q: Sinx lim Cos 1-

A:

Q: 4. 1 + tanx 1- sinx

A:

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: SIn (-x) In x if x 0

A:

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

A:

Q: sin 2x 29. sin x cos 2r = sec x cos X

A: As you mentioned solve question no.29

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

A:

Q: Verify the identity.

A:

Q: sec x—cscх sin x — сos x sec x•cscx

A:

Q: sin(x+y) Verify that (sec x cos y + sin y csc x) %3D sin(2x)

A: Prove that sin(x+y) /sin2x?

Q: sec²x - 1 sec²x 0-1 sinx

A: We will solve.

Q: Sin sec" 3. 2.

A: (1) We have to evaluated sinsec−1−23 Use he following identity  sinsec−1x=1−1x2

Q: 1+ tanx log prove that = sec2x dx y 1- tanx

A: Giveny=log1+tanx1-tanx

Q: tan-1 (tanx)= x where..............

A: It is known that tan-1tanx=x for all values lies on -π2, π2.

Q: VERIFY THE IDENTITY

A:

Q: sin x = csc 2x cos x cos 3x sec 2x

A:

Q: cos(etan 3x) y cos

A: The given function y=cosetan3x

Q: tanx X 1+x?

A: =?

Q: sinx Show that -dx= sin x +cos x 4

A:

Q: [sec² x (1 + tanx) Vtan² x – 9 tan* x| dx

A: Formulae used:…

Q: sin4 x cos5 x dx

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

Q: sin 2x cos x + cos 2x sin x = −1

A: sin(x+y)=sin(x).cos(y)+cos(x).sin(y) if sin (θ)=-1       then  θ=(2nπ+3π/2)  where n is an integer

Q: Sin 2X 2. X 3 tan 2X

A: Equating the first derivative of a function to zero and solving the equation for the variable will…

Q: sin 7x dx 1 1 sin dx x cos² x 2 | (tan x + cot x) dx

A:

Q: | (tan x)¬3/2 sec² x dx

A:

Q: sin . sin . cos x d. cosz tan E tanz 214 14

A: Given that,

Q: sin(5x)+ sin(3x) tan(4x)= cos(3x)+ cos(5x)

A: We have to prove the identity

Q: 1- Sinx fincl y! 1+ Sinx

A: We have to find y' where it is given that y=1-sin x1+sin x Here two function are in ratio so we need…

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: cosx Show that J-3(x) = -. + sinx)

A:

Q: cotx/5+tanx 7. S cotx-sinxcosx

A: Since you have asked multiple question,as per our guidelines we are supposed to answer only one…

Q: secx-tanx cos x secx+tanx 1+sinx

A:

Q: cos2x – sin2x cos2x - -F(x)+C. What is F(X}? For dr =- 3 cosx – sinx -

A:

Q: ( (cos (2x) – sin(2x) cos( 2x)) cos (x) – sin(x) For (x) +C. What is F (x)?

A:

Q: sin x cos x tan x = 1 – cos² x -

A:

Q: sec² x 12. S 1+tanx

A: here we use       ddxtanx=sec2x see below the calculation and answer s

Q: secx-11-cos.x sinx secx +1

A: We have to prove

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.