sec x- sin xtan x= cos

Q: sin 20 + cos 20 = cot x tan x

A: Prove this using a right angled triangle and the pythagorean identity.

Q: cos(2 tan−1(x))

A: Given,

Q: Establish each identity.

A:

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

A:

Q: sec - csc Establish the identity: =sin 0- cos e sec csc e

A:

Q: √2 cos x csc x=2 cos x

A: 2cosxcscx=2cosx

Q: cos-1 (cosx)= x       where..............

A: Given, cos-1cos x=x

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

A:

Q: sec(-x) sin?x sinx X %3D

A:

Q: sin (z+ in terms of sin(x) and cos(r). 4 Rewrite sin + -

A: Topic = Trigonometry

Q: sin(x) cos(x) xp (cos(x))2

A:

Q: 3下 2 cos x 1-Sin x

A:

Q: sec x cos(-x)-sin? x

A:

Q: (cos(x)cot(x)/1-sin(x))-1=csc(x)

A: We have given (cos(x)cot(x)/1-sin(x))-1=csc(x)

Q: identities: 1. sin(3x) = (sin(x))(4(cos(x))² – 1)

A:

Q: Cos(x) 一+Sin (x) sec (x} I +sin (x) Cos(x)

A:

Q: 1. tan x sin x + cos I = sec x

A:

Q: cos² x 3D1-tan x cos x 1+ sin x

A:

Q: (cos x-1)(1+cos(-x))=-sin' x

A: cosx-11+cos-x=-sin2x

Q: Verify the identity:

A: Given : 1sinxcosx - cosxsinx = tanx

Q: sin(tan x) cos²x Evaluate ·[³ dx.

A:

Q: sin Cabo-0 Jo tan (180-0). COS (180+x). (sIn?3C +COS?C)

A: We have to find: sin(360∘-x) ×tan(180∘-x)cos(180∘+x)(sin2x+cos2x)

Q: sin(X)=3/5, X lies in 1st quadrant. Find cos(X)

A: The value of both sin x and cos x is positive in the first quadrant. Use the identity sin2x+cos2x=1…

Q: sin x cot x (1 – COs x Prove - (sec x+1)

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

Q: sin (-8-2T) Sec co) arc tan (x) TT cos' (Gw) Sin' GW) dw CoS tant (2) sec (2)dz

A:

Q: sin 4t – sin 2t = tan t cos 4t – cos 2t

A:

Q: Establish the identity sec x - cos x= sin x tam x

A: GivenTo establish the identitysec x-cos x=sin x tan xFormula:sin2 θ+ cos2 θ=1sin θcos θ=tan θsec…

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: المو Sin 2 0 CosG %3D Sin o COSG

A:

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

A:

Q: /(sin x+cos

A: We have to simplify of the given expression using the trigonometry formula

Q: sin x = CsC X Prove the identity: cot x + 1+cos x

A: We have to prove given identity.

Q: sin x+ tan x sin (2x) 5. Determine the non-permissible values of the identity 1+ cos x 2 cos x Cos3x…

A: Solve using properties trigonometric identities

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

A:

Q: tan(x) – cos²(x) dx Evaluate: cos(x) A sec(x) -sin (х) +с B B sec(x) + sin(x) + C © sin(x) – sec(x)…

A: We can find the integration as below

Q: sin3 (x) + sin(x) cos2(x)

A:

Q: cos(x + =) – cos(x – ) = 1 6. cos ( x 6. 6.

A:

Q: sin x 3. cot x + = CSC X 1+ cos x

A: Cot x = cosx/sinx

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

A:

Q: (−x)cos(−x)+sin(−x)=−1f(x)

A:

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

A:

Q: I+ Sin X COSX 32see* COS X + Sin X

A: This problem can be solved by simplification through trigonometric identities.

Q: cos2x /(sin x+cosx)

A: cos2x(sinx+cosx)

Q: cos x + 2 sin x cos x = 0

A:

Q: sec x - cos r cos r tanx

A: Given: secx-cosxtanx Identity used: secx=1cosxtanx=sinxcosxsin2x=1-cos2x

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.