2 tan x sin 2x 1 + tan x

Q: (A) Verify the identity (i) (1 + tan² x)(1 - sin2x) = 1 sec x - 1 %3D tan x (ii) tan x sec x + 1 1+…

A: We have to prove the identities.

Q: tan? x sec² x + secx Prove -cos x

A:

Q: 5. (tan x)(1 – cotx) = tan x – 1

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

Q: 1- sin x 1. = sec x-tan x COS X

A: Topic- trigonometry

Q: tan 0 7. lim 0→0 sin 20

A: We will solve the problem by evaluating the limit.   NOTE :: As per our guidelines we are supposed…

Q: 3 sin(x) = 3 tan(x)

A:

Q: cos x-cos(5x) Prove identity: tan(2x) sin x+sin(5x)

A:

Q: 1. If tan x = 2 then tan( - x) : %3D 2. If sin x = 0.7 then sin( – x) 3. If cos x = 0.7 then cos( –…

A:

Q: Cos^2(x/2)=tan(x)+sin(x)/2tan(x)

A:

Q: COS X 3) sec x + tan x = 1 - sin x

A:

Q: 2 tan x sin 2x 6.) 1+tan² 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: tan 5X lin X→0 Sin子X

A: Given limit is  limx→0tan5xsin7x

Q: tan 2x 5. lim→0 sin 5¤

A:

Q: 31) 2 tan x cos x+2 cosx= tan.x+1

A:

Q: tan x csc x(1+ sec x) ove 1- cos x %3D

A: you need to know these formulae before solving the question:

Q: sec^2 x + tan x = 1

A:

Q: Verify the identity.   1 + sin x 1 − sin x  −  1 − sin x 1 + sin x  = 4 sec x tan x

A: The given identity is,

Q: 7) tan' x sin' x - tan' x-sin' x

A: (tan2x)(sin2x) = tan2x - sin2x

Q: Evaluate the limit.

A:

Q: Verify the identity:

A: Given : 1sinxcosx - cosxsinx = tanx

Q: sin (2x) b. cos(2x)+ 1 = tan (x)

A: Prove

Q: 1-Cos 2x 1+ Cos 2x ix) tan x=

A: Prove :

Q: 3. sinx tan x + cos x

A: We can simplify the expression as below.

Q: * tan°(x) cos“(x) 1 tan7(x) 1 tan (x) O tan7(x),

A:

Q: tan x 3. = sin x %3D secx

A: “Since you have posted multiple questions, we will solve first question for you. To get remaining…

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: Verify the identity 1- sin x (sec x- tan x)2 = %3D 1+sin x

A: secx-tanx2=1cosx-sinxcosx2=1-sinxcosx2=1-sinx2cos2x=1-sinx21-sin2x…

Q: 1+ tan“x = csc 2.x 2 tan.x

A:

Q: (1+cos.x) sin x tan x+sin x (10) %3D tan x- sin x

A: We solve this by using trigonometry identity

Q: 5 sec(x) − 5 cos(x) = 5 sin(x) tan(x)

A:

Q: 1 sec x – tan x sin x = %3D secx

A: Consider, secx-tanx sinx=1cosx-sinxcosx·sinx=1cosx-sin2xcosx=1-sin2xcosx=cos2xcosx…

Q: 2 sin x tan x - tan x = 1 - 2 sin x

A: Answer and explanation is given below

Q: cos(x) 3) 1-sin(x) sec(x) + tan(x)

A:

Q: - Simplify: sin(x)tan(x)=1- 1-cos²(x) cos (x)

A:

Q: 1 + tan x 58. cosx tanx sinx - sin x

A:

Q: (2 In sin x)3 15. S tan x

A:

Q: Prove sin 2  x/2=  tan x - sin x / 2 tan  x

A: The given identity is sin2x2=tanx-sinx2tanx

Q: • tan°(x) Xp- cos“(x) 1 1 tan9

A:

Q: #/2 sin " x 2: Evaluate 20 sin ° x+ coSx

A:

Q: solve for x if tan 3x = 5 tan x  ( short cut way)

A:

Q: sin x cos x tan x = 1 – cos² x -

A:

Q: 1+ sinx if x 7

A: In this question first, we have to plot each graph individually After that, we will find the values…

Q: 2 sin x tan x– tan x=0 3.

A:

Q: tan(sin^−1(3/4))

A: The objective is to find the required value

Q: 2. Prove sec?x + tanx secx 1- sin x

A: cos^2 x = 1 - sin^2 x sec x = 1/(cos x) tan x = sin x/cos x

Q: tan x- cotx + 2 cos? x = 1 tan x + cotx

A: tanθ =sinθcosθ cotθ=cosθsinθ sin2θ+cos2θ=1