Prove the identity: 1 sin x COS X sin x + cos x (sin x + cos x)2 1+2 sin x cos x

Q: 11. Prove the identity sin x 1+ cos x 2 csc x 1+ cos x sin x

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Q: Verify the identity. csc(x) cos²(x) + sin(x) = = = csc(x) cos²(x) + sin(x) = csc(x) 1 sin(x) 1 2…

A: Given csc(x)cos2(x)+sin(x)=csc(x)

Q: Prove the identity. 3 sin(x - y) 3 tan x - 3 tan y = cos y cos x

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Q: Verify the identity: sin(x - y)/(cos x cos y) + sin(y - z)/(cos y cos z) + sin(z - x)/ (cos z cos x…

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Q: Prove the identity. Cos(x− 90°) − Cos( x + 90°) = 2 sin x

A: We will use the formulas: cos(A-B)=cosAcosB+sinAsinBcos(A+B)=cosAcosB-sinAsinB

Q: Prove the identity. sec2 (x/2)= 2 sec x + 2/sec x + 2 + cos x

A: The given equation is,

Q: 6. Prove the following sin (x + n) = -sin x cos x+ 2 - sin x

A: Part a,Given,           sinx+π=-sinx

Q: Prove the identity. 3. cos X sim x= 2. S1in X-Sin x) COSX

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Q: 3. Prove the identity of tan x + cot x = csc x sec x. Work on the left side.

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

A: We have to prove the identity                              cosx+ycosy+sinx+ysiny=cosx

Q: Prove the identity 1/Cos X - 1/Sec X = Tan X * Sin X

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Q: Prove the identity. sin(x+y) sinx + cos(x+y) cosx = cosy

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Q: Prove that the following identity is true. sin x + 1 / cos x + cot x = tan x

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Q: Prove the identity. sin(2x) 1+ cos(2x) tan(x) = 2 sin(x) · sin(2x) 1+ cos(2x) 1+ (2 cos?(x) – 1) 2…

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Q: Verify the identity (1 + csc x)/sec x - cot x = cos x

A: We have to verify: 1+cosecxsecx-cotx=cosx We will use following relations of trigonometric…

Q: Prove the identity. sin'x cos'x= (cos'x- cos"x) sin x

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Q: Prove the identity: (sin x – cos x)(sin x + cos x) = 2 sin² x – 1

A: As value of cosθ and sinθ revolves around +1 to -1 , they take different values depending on the…

Q: Prove the following identity. Enter all your work 2. tan x+ sec x 1+2 sin x + sinx X. sec x- tan x…

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Q: 3. Prove that the identity is true. sin*t - costt tan-t– 1 cos't

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

Q: Prove the identity  Cos x/1+sin x + Cos x/ 1-sinx = 2sec x

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Q: Prove the identity. sin x + sin 3x cos x + cos 3x tan 2x Use the Sum-to-Product Formulas and then…

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Q: rove that the following identity is true. cos x (csc x + tan x) = cot x + sin x

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Q: Prove the identity. cos (n+x) cotx cos 2

A: Some of the important identities of the trigonometric is given by  cos(A+B)=cosA cosB-sinA sinB…

Q: Prove the identity. cos(x + y) + cos(x – y) = 2 cos(x) cos(y)

A: It is given that,

Q: 3. Prove that sin (x+÷) = cos x is an identity.

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Q: Prove the following identities sin(x)–1 sin(x)+1 -cos (x) (sin(x)+1)²

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Q: Evaluate: / [cos(x) – sin(x«) ]dr A cos(x) + sin(x) +C - cos(x) + sin(x) +C

A: In this question we will use basic of calculus i.e concept of integration. We will simply use the…

Q: Establish the identity. 9) sin(20) + cos 0 sin 0 = 3 cos Osin 0

A: Explanation of the solution is given below...

Q: Prove the following identity 1+ cos(2x) 1 sin(2x) tan(x) 1+ cos(2x) sin(2æ)

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Q: Prove the following identities 1. (cot x − csc x)(cos x + 1) = − sin x 2. sin 3x + sin 7x/cos 3x −…

A: 1. (cot(x) - cosec(x))(cos(x) + 1) = -sin(x)   Taking LHS, = (cot(x) - cosec(x))(cos(x) + 1) =…

Q: Prove the following identity : sin (3 pi / 2 - x) = - cos (x

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Q: IDENTIFY THE FOLLOWING IDENTITIES 1. sin(-x) = -sin x 2. cos(-x)= cos x cos x %3D 3. sin x + = 1

A: 1. Sin(-x) = Sin(x) 2. Cos(-x) = Cos(x)  3. Sin2x + Cos2x = 1 Repost the 4,5,6,7,8,9,10 and 11 .

Q: Prove identity: 4 sin x cos x (1 – 2 sin? x) = sin(4x)

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Q: Prove the following identities. Verify algebraically that the equation is an identi COS X 5. = CSC X…

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Q: Verify the identity (1+sin x)(1-sin x)=cos2x   (sin x + cos x)2 + (sin x - cos x)2=2   cot(x) =…

A: (1+sin x)(1-sin x)=cos2x Apply FOIL method to expand left side

Q: Prove that the following identity is true. tan x/sin x − cos x= sin2 x + sin x cos x/cos x − 2 cos3…

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Q: Verify the identity. sin³(x) + cos³(x) = 1 – sin(x) cos(x) sin(x) + cos(x) sin3(x) + cos³(x) sin(x)…

A: we know that  a3+b3=a+ba2-ab+b2

Q: Use De Moivre's theorem to prove the identities (i) sin(40) = 4(sin(0) cos (0) – sin° (0) cos(0))…

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Q: Prove the identity. sin(n-x)сos(n+x)tan(2π − x) T 3π 3π sec+ x)csc(³7-x)cot (³7 + x) = sin^x - sin²x

A: I have appended the formula used in the solution part of the question

Q: Verify the identity. 1 - cos(a) sin(a) sin(a) 1 + cos(a) 1- cos(a) 1- cos(a) . 1 + cos(a) 1 + cos(a)…

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Q: Prove the identity. sin x 1+ cos x 1- cos x sin x

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Q: 7. Verify the identities: tan x tan x tan20 1-cos e a) 1+sec x = 2 csc x b) sec 0+1 %D 1-sec x cos e

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Q: Prove that the following identity is true. sin x + 1 cos x + cot x tan x

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

A: we have to verify the identity : cos(x+h)-cosxh=cosx(cosh-1)h-sinx(sinh)h

Q: Verify the identity by converting the left side into sines and cosines. sec(x) – cos(x) = sin(x)…

A: The given identity is secx-cosx=sinxtanx   identity used: 1-cos2x=sin2x

Q: Prove the identity. 3 sin(x – y) cos y cos x 3 tan x - 3 tan y

A: Given that  3tanx-3tany=3sin(x-y)cosycosx We need to verify the given identity.

Q: 4. Verify the identity: 1 cos(x)+1 1 + cos(x)-1 -2 csc(x) cot(x)

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