fOo)=Sinx-41 Cos x 1X-1 cos X (x)

Q: tan? x sec² x + secx Prove -cos 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: 6. cos x(csc x secx) secx) cotx

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Q: What is the exact value of 2sin(x/2) * cos(x/2) if sin of x = 3/5 and cos of x = 4/5 ?

A: To determine the exact value of the expression.

Q: Verify the identity: (cos 3x - cos 5x)/(sin 3x + sin 5x) = tan x.

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Q: Prove: sin (2 cosx) = 2x1-x

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Q: * Prove: sin x = cos COS 2- 2cos x

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Q: If tan x = 3, cos x > 0, , then - sin 2x cos 2x tan 2x %3D

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Q: Prove the identity. sin'x cos'x = (cosx-cos x) sinx 3. cos x- cos x) sinx

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Q: Prove Cos (3x)- cos (7x)/sin (3x+sin (7x) =tan (2x)

A: To Prove: Cos3x-Cos7xSin3x+Sin7x=tan2x Formulae to be used:…

Q: Prove the identity. sin 2x- sin 6x - tan 2x cos 2x+ cos 6x

A: The objective is to prove The Identity.

Q: Prove cos x (1+sinx 1-sinx sin x. 4 1-sinx sinx+1/

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Q: 21. cos x cos 2x + sin x sin 2x

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Q: cos(4x) cos(2x) sin(4x) sec(2x) 12. Verify: - sin(2x)

A: cos(2x ) =cos2(x)-sin2(x) = 2cos2(x)-1 =1-2sin2(x) sin(2x) = 2sin(x) cos(x)

Q: 6. Verify the identity: sin x 1 + cosx 1 + cosx sin x 2 cscx %3D

A: Topic = Trigonometry

Q: Verify the identity: 4 cos x cos 2x sin 3x = sin 2x + sin 4x + sin 6x

A: We have to verify the identity: 4cosxcos2xcos3x=sin2x+sin4x+sin6x We know that…

Q: 1-sin' x 3D sin.x 6. cosxcotx

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Q: cscxdx 5+ cos²x sin²x

A: Evaluate: I=∫csc2x5+cos2xsin2xdx We know that, cos xsin x=cot x Then, we have I=∫csc2x5+cot2xdx

Q: Verify identity cos2 x - sin2 x = 2 cos2 x - 1.

A: cos2x -sin2x=2cos2x-1

Q: 2 1-tan ² x 2 1+ tan² x 2 = cos²x - sin² x

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Q: 1/sin ^2x + 1/cos^2x=1/sin^2x cos^2x

A: 1/sin ^2x + 1/cos^2x=1/sin^2x cos^2x

Q: √3 csc x − 2 = 0  tan 3x(tan x − 1)  sin2 x = 3 cos2 x

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Q: 9. Prove. cos x sin x 1 - csc x %3D sec x

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Q: Find sec2x if sin x = 6/10 and sec x < 0

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Q: sin 2x+cos2x+1 1- Prove cot x sin 2x-cos 2x+1

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Q: 1-cos2.x sin 2.x : tanx

A: Given- 1-cos2xsin2x : tanx To Simplify- The above expression. Formula Used- cos2x=1-2sin2x and…

Q: Prove that sin3x/sinx - cos3x/cosx = 2

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Q: Verify the identity: [sin 2x + (sin 3x + sin x)]/[cos 2x + (cos 3x + cos x)] = tan 2x

A: Consider the identity, sin2x+sin3x+sinxcos2x+cos3x+cosx=tan2x To apply the trigonometric identity,…

Q: tan x csc x-tan x sin x tan +cos x cos? Prove = COS s“ x csc x Show all work to receive credit

A: We have to prove

Q: Prove 2tan x cos (3x) = sec x (sin(4x) - sin (2x))

A: Topic- trigonometry

Q: * tan°(x) cos“(x) 1 tan7(x) 1 tan (x) O tan7(x),

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Q: cos^2x+sin^2x/cos^2x=

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Q: prove that catX+c - Cos'x+Sin2X

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Q: prove that cos^2 x/2= tanx+sinx/ 2tan x

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Q: sin 2x sin x Cos 2x %3D Prove that 4 cos x - sec x Cos a

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Q: [((1-tan^2(x))/sec^2(x)]= cos(2x)

A: To prove that  [((1-tan^2(x))/sec^2(x)]= cos(2x)

Q: Verify the identity. sin 5x + sin 3x 2 cos x 4 sin x cos3 x - X – 4 sin x cos x 3.

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Q: 9. Prove: csc(x)-csc(x)cos² (x) = sin(x)

A: To prove: csc(x)-csc(x)cos2(x)=sin(x) Note that, sin2(x)+cos2(x)=1

Q: prove the identity sin^2xcos^2x+cos^(4)x=(1-sinx)(1+sinx)

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Q: Verify the identity.  (1 − (cos x)2)(sec x)2 = (tan x)2   (1 − (cos x)2)(sec x)2 = (_______)/(cos…

A: We can use trigonometrical identity in order to solve the given problem.

Q: verify the identity  1 + sec ^2 x/ 1 + tan ^2 x = 1+ cos^2x

A: Note that 1+tan^2x = sec^2x  1/sec2x= cos2x

Q: . Prove only 1 of the 2 identities given. sin x 1-cosx = 2 csc x 1-cos x sinx -) 1- sin? x – sin² y…

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Q: Prove CotA= sin2A/1-cos2A

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Q: Prove (sin10x)/(sin9x+sinx) = (cos5x)/(cos4x

A: Explanation of the prove is given below..

Q: 4. cos' (sin (7 /6 )) 5. sin 1 (cos (π/ ) 6. tan (sin (3n/2))

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Q: Prove that X -sin 8 2 X sin sin x 8 2 2. 2.

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