Prove the identity 1+ tanz 1- tanz = tan (r

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: Prove the identity. cos (x+y) =1- tanx tany cosx cosy

A: Given L.H.S is cos(x+y)cosx.cosy We know that cos(a+b)=cosa.cosb-sina.sinb substituting the formula…

Q: Prove the identity. cos(x-y) / cosx cosy = 1+tanx tany

A: To Prove:cosx-ycosxcosy=1+tanxtany

Q: A. PROVE THE FOLLOWING IDENTITIES: 3. tan*x + tan²x = sec*x – sec'x tanx+secr-1 1+sinx tanx-secr1…

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

Q: Verify the identity: 1- sin(2x) 1- tan x cos(2x) 1+ tan x

A: LHS: 1-sin(2x)cos(2x)=cos2x+sin2x-2sin(x)cos(x)cos2x-sin2x ( as…

Q: 1. Verify the following identities. sec4 x - tan4 x 2 sec2 x - 1

A: We have given the identity

Q: Prove that (sin^(2)B-tan^(2)B)/(1-sec^(2)B)=sin^(2)B are identities

A: Given, sin2B-tan2B1-sec2B=sin2B Consider the left hand side. sin2B-tan2B1-sec2B

Q: Prove the identity: tan x + tan(π/2 − x) = 2csc2x

A: The given data is: To prove: tanx+tanπ2-x=2csc2x

Q: Prove tan-1z =

A:

Q: Establish the identity. (sec 0+ tan 0)( sec 0- tan 0) = 1

A: We have to prove

Q: Prove the identity. sin(2x) 1+ cos(2x) tan(x) = 2 sin(x) · sin(2x) 1+ cos(2x) 1+ (2 cos?(x) – 1) 2…

A:

Q: Prove the identity: csc 0 x tan 0 = sec 0

A:

Q: Prove the identity. cos (x+y) 1- tanx tany cosx cosy

A: We need to prove the following identity cosx+ycosx cosy = 1-tanx tany

Q: Prove that cos 2x | tan x + cos 2x ).

A: we need to prove, 1-Cos2x1+Cos2x = tanx

Q: Prove the identity. cos (x-y) 1+ tanx tany cosx cosy

A: cos(A-B) = cos(A) Cos(B) +sin(A) sin(B)

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

A:

Q: Prove the identity 1+ tanz 1- tanz - t (-+ ) tan (

A:

Q: Prove the identity. sin'x cos'x= (cos'x- cos"x) sin x

A:

Q: Prove Cos2x=1-tan^2x/1+tan^2x

A:

Q: Verify the identity: tan (π/4 + α) - tan (π/4 - α) = 2 tan 2α

A:

Q: Prove the identity. 1+ tan 0 1 + cot0 = 0 1- cote %3D 1- tan 0

A:

Q: Verify the identity: sin 2x = 2tan x /(1 + tan2 x).

A: Given The identity is sin(2x)=2tan x1+tan2x

Q: prove that: tan(x/2)= (sinx/1+cosx

A:

Q: Prove the identity. 1- cos X = (csc x- cot x)² %3D 1+ cos X

A: Prove that , 1-cosx1+cosx=cscx-cotx2

Q: Prove that ? 2tan X tan 2X 2 1-tan x

A:

Q: 3. a)Prove the identity tan20- sin20 = sin²0 tan²0

A: We have to find the following conditions

Q: 3. Prove the identity tan * COS v t CSC x Sinx=2sinx

A: Prove the identity

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: Prove the identity.   (1-tanx)^2=sec^2x-2tanx.

A: We have to prove the identity(1-tanx)2= Sec2x - 2 tanx

Q: Verify the identity. 2 tan(x) 1 + tan2(x) 2 tan(x) sec2(x) sin(2x) 2 tan(x) 1 + tan?(x) 2 sin(x) .…

A: The prove that  (2tanx)/(1+ tan2x) = sin2x

Q: Prove the identity. V3 + tan(x) tan(x + ) - 1- V3 tan(x)

A:

Q: Prove one of the following identities. 1-tan2 x 2 tan x Cos 2x = sin 2x 1+tan2 x 1+tan² x

A: Please check step 2 for the solution.

Q: Prove the identity. sin2(x)−tan(x)/cos2(x)−cot(x)=tan2(x)

A:

Q: Prove the identity. sin x 1+ cos x 1- cos x sin x

A:

Q: Prove the identity. tan(x +) V3 + tan(x) 1-V3 tan(x) tan(x) + tan= tan(x + ) V3 + tan(x) 1- V3…

A: Here we have to prove the identity     tan(x+π/3) = (√3+tan x)/(1- √3 tan x)

Q: Prove the identity. tan x tan sec x + 1 2.

A:

Q: Prove the identity. cos (x+y) = 1 - tanx tany cosx cosy

A:

Q: Prove the identity. cos x- secx=-sinx tan x 2.

A:

Q: Verify the identity.  (1 − (cos x)2)(sec x)2 = (tan x)2   (1 − (cos x)2)(sec x)2 = (_______)/(cos…

A: We can use trigonometrical identity in order to solve the given problem.

Q: Prove the identity. cos (-x) 1- sin (-x) = secx- tanx

A:

Q: Prove. Show all steps. cos x + sin x tan x = sec x

A: Given,         cosx+sinxtanx=secx

Q: Prove the identity. cos (-x) 1- sin(-x) secx- tanx

A:

Q: Prove the identity : sin(x-y) tanx- tany Cosxcosy

A: Consider, tanx-tany=sinxcosx-sinycosy=sinx cosy-cosx sinycosx cosy=sinx-ycosx cosy…

Q: Prove the identity. 4(tan(x) – cot(x)) tan2(x) – cot2(x) | = 2 sin(2x) %3D

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