Establish the identity tan (x - 0) = - tan 0.

Q: Find the exact value of the expression whenever it is defined.

A: Given: The expression tantan-12. Since, tantan-1x=x,  for all x∈-∞, ∞ Therefore,  tantan-12=2

Q: convert csc x/ cos x to sec^2 x/ tan x

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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: find the exact value of (tan (x)/(10)+ tan (x)/(15))/(1 - tan (x)/(10)tan (x)/(15))

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Q: Verify the identity: (cos 3x - cos x)/(sin 3x + sin x) = -tan x.

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

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Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: The given identity is, sin -x sec -x=-tan x. The objective is to verify the identity by transforming…

Q: Verify the identity.

A: Given: verify the identity tanx21+cosx=sinx for verifying given identity, we solve left hand side

Q: Verify that the equation is an identity. 1- tan 'x = sec x 2. 1- tan x

A: WE HAVE TO VERIFY THE EQUATION 1-tan4x1-tan2x=sec2x is an identity. LHS=1-tan4x1-tan2x Now,…

Q: Verify the identity: tan x/2 = (sec x - 1)/tan x

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

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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: Verify the identity: tan(-x)cos x = -sin x

A: To verify:      tan(-x)cos x = -sin x We will start from LHS and will try to get RHS.

Q: Verify that the equation is an identity. In|sin.x| + In|sec.x| = In|tan.x|

A: We have to verify that the given equation is an identity: lnsin x+lnsec x=lntan x Solving the given…

Q: Verify the identity: sec θ - cos θ = tan θ sin θ

A: Given,           sec θ - cos θ = tan θ sin θ

Q: Verify that the equation is an identity. tan x- sec*x =1-2 secx

A: We will use the following identity: sec2θ = 1 + tan2θ

Q: Find the value of  x tan-1 2x + tan-1 3x = (π\4)

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

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

Q: Verify the identity tan (x+pi/4) = tan x+1/1-tan x

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Q: Find the exact value of the expression. tan(sin−1(-1/2)-cos-1(-1/2))

A: According to the given information it is required to calculate the exact value of the expression:

Q: 3. sec-1 -tan

A: Given,

Q: tan(x²) D, secx

A:

Q: Verify the identity: tan x csc x cos x = 1

A: Known facts: tanx=sinxcosxcscx=1sinx

Q: Verify the identity. sec X• sin x= tan x

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

A: This question is based on Trignometric function.

Q: Verify the identity. tan (-x) cos X - sin x

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

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Q: Verify the identity. tan (T-0) = - tan 0 Write the left side of the identity using either the sum or…

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Q: Verify the identity: tan (x - π/4) = (tan x - 1)/(tan x + 1).

A: We have to verify the identity: tanx-π4=tan x-1tan x+1 We know the identity, tanA-B=tan A-tan B1+tan…

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: Write the expression as an algebraic expression in x for x > 0.tan (arccos x)

A: Recall the trigonometric identities, sin x=1-cos2x tanx=sinxcosx

Q: Verify the identity. tan (1-0) = - tan 0

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Q: Verify the identity : sin(x + π)/cos (x + 3π/2) = tan2 x - sec2 x

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Q: Determine whether the statement is true or false. tan−1(x) = sin-1(x)/cos-1(x)

A: Given,

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

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Q: What is tan x if csc x = -V34/3 and cos x < O? * V34 CSC X =

A: Given, cscx=-343 sinx=1cscx=-334 we know, sin2x+cos2x=1 934+cos2x=1cosx=2534=-534

Q: write cos x in terms of tan x  1 + tan2 x = sec2 x

A: We write cos x in terms of tan x    1 + tan2 x = sec2 x

Q: tan(sin'x) is ... The simplify of

A: Given expression is Let us suppose Now, Therefore,

Q: Solve the equation below. tan x + 2 sin x = 0 if 0 < x < 2n.

A: tan x+2 sin x=0 , 0≤x≤2π

Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: The given identity is, 1cos-x-tan-x sin-x=cos x The objective is to verify the identity by…

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

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