Verify the folowing equation is an identity with work shown (Tan2(x)-cot2(x))/(tan(x)-cot(x))=csc(x)sec(x)

Q: sin 2x Verify 1+ cos 2x = tan x.

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

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Q: Prove the identity. sinx 1+ cos.x 2 cscx 1+ cos.x sinx

A: Given, The identity  sinx1+cosx+1+cosxsinx=2cscx We have to prove the identity.

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

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Q: The value of lim sin x- cos x 1s 2 sin x+3 cosx

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Q: In(|tan(x) sin(x)]) = 2 In(|sin(x)|) + In(|sec(x)|)

A: i will use the log rule: ln a +ln b=ln(ab) and some trigonometric rules.

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: Use a trigonometric identity to show that the derivatives of the inverse cotangent and inverse…

A: To show: The derivatives of the inverse cotangent and inverse cosecant differ from the derivatives…

Q: Prove the identity. secx- cosx sinx tanx

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Q: Verify identity (csc x - cot x)2 =(1 - cos x)/(1 + cos x).

A: The given identity is csc x-cot x2 =1-cos x1 + cos x

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

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

A: We have to prove

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: Verify the folowing equation is an identity with work shown…

A: Given equation is

Q: Establish the Identity (csc(x)+cot(x))/(sec(x)+tan(x))=(sec(x)-tan(x))/(csc(x)-cot(x))

A: Proof:The given Trigonometric identity is…

Q: 1-cotx Verify the identity = 1- sin 2x CSC X

A: 1-cot xcsc x2=1-sin2x L.H.S=1-cot xcsc x2        =(1-cot x)2csc2x= 1+cot2x-2cotxcsc2x=…

Q: 1-cos(2x) - Evaluate: a- lim,-0 sin²(3x) tan x-sin x b- lim sin3x

A: According to L'hopitals rule,limx→af(x)g(x)= limx→af'(x)g'(x)iff(x)g(x)= 00or ∞∞. If there is any…

Q: tan x csc x-tan x Prove Cos“ x csc x sin x tan +cos x

A: tanx csc2x-tanxsinx tanx+cosx=cos2x cscx

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

A: Given,          secx-sinxtanx=cosx

Q: tan x - X 1. lim sinx 5 A. 2 В. 2 С. О D. undefined

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Q: 1 2. - + tanx = tanx sinxcosx

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

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Q: Verify the folowing equation is an identity with work shown (sin4(x)-cos4(x))/sin2(x)=2-csc2(x)

A: To verify:

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 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: cos² (In x) sin²(In x)

A: Given: I=∫cos2(lnx)sin2(lnx)xdx

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

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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: Find the exact value of the expression. Show work.

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Q: Verify the identity. Show your work below. (cos x + sin x)² = 2 cos x sinx+1

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

A: Given identity, cscx-cosxcotx=sinx

Q: Prove using trigonometric identity, showing work in the process:  1sin(2x)/sin(2x) =…

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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 : sin(x + π)/cos (x + 3π/2) = tan2 x - sec2 x

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Q: Verify the identity. (Simplify at each step.) tan x = tan³ x sec² x - tan³ x tan5 x = (tan³ x) T = 3…

A: Remember the trigonometric identity Tan2(x)=Sec2(x) -1

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

A: An identity is a mathematical statement that is valid and true under any condition. It is known that…

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

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Q: Arcsinx - sinx (1-cos 2 sin 2x Lim

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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: Prove sin 2  x/2=  tan x - sin x / 2 tan  x

A: The given identity is sin2x2=tanx-sinx2tanx

Q: Verify the identity: (tan2 x - cot2 x)/(tan x + cot x) = tan x - cot x

A: The given identity is tan2x-cot2xtanx+cotx=tanx-cotx

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

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Q: prove  cosx( 1- tan x)= cos x- sin x

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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.