Prove the identity sin x(cscx- sin x) =

Q: Prove the identity. 1+ sin (-x) 1+ csc (-x) sin x

A: The following trigonometric identities are used in proving the given identity.

Q: Verify the identity:csc x - cos x cot x = sin x.

A:

Q: Verify the identity. csc(x) cos²(x) + sin(x) = csc(x)

A: The given identity is cscxcos2x+sinx=cscx.

Q: Prove the identity. secx- sinx tanx cosx

A:

Q: Verify the identity     sec x + tan x = cos x /(1 − sin x) .

A: Our Aim is to prove the trigonometric identity given below:- sec x + tan x = cos x /(1 − sin x)…

Q: Establish the identity. sin =1- sin x

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Q: Prove the identity. csc (-x)- sin (-x)=- cos x cot x

A: we know that sin(-x)=-sinx than csc(-x)=1/sin(-x)=1/-sinx than  1/-sinx -(-sinx) (1/-sinx)+sinx…

Q: Prove the identity. secx- cosx sinx tanx

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Q: Verify the identity. sin 3x = 3 sinx – 4sin'x %3D

A: We have to verify the identity: sin 3x=3 sin x-4 sin3 x Taking LHS, we get LHS=sin 3x=sin 2x+x We…

Q: Prove the identity:  sin (x+y) - sin (x-y) = 2cos x sin y

A: Here we use two sine formula for the function:

Q: Establish the identity: csc θ x tan θ= sec θ

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Q: Show that sin(sin-1 v + cos-1 v) = 1.

A: sinsin-1v+cos-1v=1

Q: Prove the identity. sin x+ 2. = cotx sin (n-x)

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Q: Verify the identity: sin x/(1 + cos x) = (1 - cos x)/sin x.

A: sinx1+cosx=sinx1+cosx×1-cosx1-cosx=sinx1-cosx1-cos2x     ∵a+ba-b=a2-b2=sinx1-cosxsin2x…

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

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Q: Prove the identity  secx-sinx tanx=cosx

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Q: Verify the identity. sin x = csc x + cot x 1-cos x

A: This question can be solved by appropriately arranging the given options in the blanks.

Q: Verify the identity: (1 - tan x)/sin x = csc x - sec x

A: Given : 1-tanxsinx=cscx-secx

Q: Find sin x if sin x – cos x x = 3 sec x

A: Consider the given trigonometric expression, sinx-cosx=13 now square both side of the equation,…

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: Verify the identity: tan x + 1/tan x = 1/(sin x cos x)

A: To verify: tan x+1tan x=1sinx. cosx

Q: tan x= Sin 2X

A: Given: y'+y tan x= sin2x

Q: Use the fundamental identities to fully simplify sin (-x) cos (-x) sec (-x).

A:

Q: Prove the identity. secx- sin x tanx= cosx

A: Given,          secx-sinxtanx=cosx

Q: Verify. the. identity cos(x)sin(x)tan(x)=csc(x)-cot(x)-cos^2(x)

A: To verify: cos(x).sin(x).tan(x)=cosec(x)-cot(x)-cos2(x)

Q: sin (플 + z) + sin (-a) is equivalent to: 4

A: Given the trigonometric identitysin(π4+x)+sin(π4−x)

Q: Verify the identity: csc x cos2 x + sin x = csc x.

A: the given identity is: cscx cos2x+sinx=cscx we have to verify the identity.

Q: Prove the identity. csc (-x) – sin (-x) = cosx cotx

A:

Q: Verify the identity: csc x - csc x cos2 x = sin x

A: We know that, cosecx=1sinx            ⋯⋯1sin2x+cos2x=1sin2x=1-cos2x     ⋯⋯2 We have,…

Q: Verify the identity: csc x - cos x cot x = sin x.

A: Given identity, cscx-cosxcotx=sinx

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

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Q: Verify the identity: cot(-x) sin x = -cos x

A: cot(-x)=-cot(x)cot(x)=cos(x)sin(x)

Q: Verify the identity. sec(x) + csc(x) tan(x) + cot(x) cos(x) + sin(x)

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Q: Verify the identity: cos x/(1 - sin x) + (1 - sin x)/cos x = 2 sec x

A: The given identity is cosx1-sinx+1-sinxcosx=2secx

Q: Verify the identity: sin x tan x + cos x = sec x.

A: Given:sinx tanx+cosx=secx

Q: Prove the identity. TC sin +x+ 2. cotx sin (n-x)

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Q: Prove the identity. sec(-x)-sin(-x)tan(-x)=cosx

A: sec(-x)-sin(-x)tan(-x)=sec(x)-(-sin(x))(-tan(x))=sec(x)-sin(x)tan(x)

Q: Verify the identity:sin 2x = 2 cot x sin2 x.

A: To verify the identity: sin2x=2cotx sin2x Verification: We know that, sin2x=2sinx cosx Simplifying…

Q: Verify the identity: (sin3 x - cos3 x)/sin x - cos x = 1 + sin x cos x

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Q: Establish the identity. sec 0• sin 0 = tan 0

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