tan x= Sin 2X

Q: sin 180° tan 315º Cos 0°

A:

Q: Differentiate  sin(3x+5)

A:

Q: Simplify tan (-x) ese(x) cos(x)= А. О В. 1 С. -1 D. sinx

A: tan(-x) cosec (x) cos (x) = [Sin(-x)/ cos(-x)] cosec (x) cos(x)  = [sin (-x)/cos (x) ] cosec (x) cos…

Q: (A) Evaluate Sin (3x) Sin (3x) dx

A:

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

A:

Q: 8. Find the exact value of 2 sin (tan-1 ()

A: Let's find.

Q: 2. Cos sin

A:

Q: solve for x so that sin[2(tan^-1(3/x))]= - 3/4

A: We have given sin2tan-13x=-34 Then,…

Q: simplify sin x-1/cos x - cos x /sin x-1

A: The given expression is

Q: cos( – x) + tan( – x)sin( – 2)

A:

Q: tan(e) cos(0) - sec(0)

A:

Q: Differentiate  (sin(x+a)/cosx)

A:

Q: tan 5X lin X→0 Sin子X

A: Given limit is  limx→0tan5xsin7x

Q: Write ( tan(x) + sec(x)) ( sin( x) - 1) in terms of sine and cosine.

A:

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

A:

Q: Write ∫ tan3 x dx in terms of ∫ tan x dx. Then find ∫ tan3 x dx.

A:

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: /tan x sin x cos x

A: given = ∫tan (x)sin (x) .cos(x)dx

Q: cos(sin−1(x) − tan−1(y))

A: Important points:  cos(A + B) = cos A. cos B - sin A. sin B sin(sin-1x) = xcos(cos-1x) =…

Q: Verify the identity. sin x sin x cot2x= cscx

A: We have to verify the identity.Identity is given below:

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: 1. sin

A:

Q: Rewrite sin (2 cos'v) as an algebraic expression in v. sin(2 cos"v) = ]

A: We have to rewrite the given identity as algebraic expression.

Q: tan(x)csc(x) cos(x)

A: Given,            Tan(x).cosec(x).cos(x)

Q: simplify  sin(tan^-1(x))

A: Here we simplify sintan-1x

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

A:

Q: Rewrite sin x + in terms of sin(x) and cos(x). 3

A: We will use the below trigonometric identities to solve this

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

A: Recall:  sin(A+B)=sin A cos B+sin B cos A We have, A=x, B=5π4

Q: Rewrite sin (x + in terms of sin x and cos x. 6.

A:

Q: Differentiate sin x? +1

A: According to the question,  We need to differentiate the function,  Function: sin x2 +1

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: Establish the identity. sin 0 1 sin 0- 1 1 csc 0

A:

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: sin

A: Sinx=1/cosecx Cotx=1/tanx

Q: sin 300⁰ cos 270⁰ cos 30° tan 225⁰

A: Given :sin 300° cos30°cos270°tan 225°

Q: Find cos x if tan x= -(2 √2)/2 and sin x= √6/3

A:

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

A: Given:sinx tanx+cosx=secx

Q: If tan(x+y) tan(x-y) = 1 then find the value of tanx

A: From the given data:

Q: tan x sin 2x 2([ ? ]([])?

A: Given,       tan x sin 2x

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

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

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: simplify sin(2x)/cos(x)

A:

Q: tan (sin-1)=

A:

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

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Q: tan '6 (secx)"dx tan

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Q: Let sin(0) = . Find sec(20).

A:

Q: Verify the identity sin2 θ/2 = (sec θ - 1)/2 sec θ

A:

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.