cos2r - cos4r - Cos4r sin2r + sin4r cos2r + cos4r sin2r - sin4r = cot x tan x sin x COS X I3D

Q: b. cos ( I1/2 -x) c. cos(x+ II/2) d. tan(x+ II/2) e. tan( II/2 -x) a. sin ( I1/2 -x) 16. sin x 15.…

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Q: establish each identity.

A: To prove the identity: sinθ-cosθ+1sinθ+cosθ-1=sinθ+1cosθ Proof: We know that, sin2θ+cos2θ=1 Left…

Q: Establish each identity.

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Q: Establish each identity.

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Q: sin² 0 = cos ( sin e 1-sin²0 cos 8 tan 0 sec 0 - cos 8 Trigonometric Identity: (

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Q: 6(cos² x – 1) x – 1) sin x cos a – sin z O 6 tanx + 6 sec z O 6 cot x+ 6 sec x O 6 tanx + 6 csc z O…

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Q: Cos 40 x Cos 50 - Sin 40 x Sin 50.

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Q: 1- sec 0 9. I. cos 0 -1 tan 0 sin 0 cos 0 + sin 0 II. sec 0 + csc 0 = cos 0 sin 0

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Q: cot x cos x 4 5 sin x cos x 6. cot x sin x- 2 sin x - 4 cot x Cos x 5.

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Q: sin 0- cos 0+1_ sin0+1 sin 0+cos0-1 (c) cos e

A: consider LHSLHS=sinθ-cosθ+1sinθ+cosθ-1multiply and divide by cosx LHS=(sinθ-cosθ+1)…

Q: SIne tand cose Cos cosA cos Sint sinf 1. sine 1 sine cose sine sin coso 1- cos-0 sin20

A: Trigonometry: It is a relation between the sides and the angles of a triangle. There are six…

Q: 1) sin 0 + cos 0 = sin 0 cos 0 %3D 1-cot 0 tan 0-1

A: To prove sinθ+cosθ=sinθ1-cotθ-costanθ-1

Q: cos 0+cos 0 tan 0

A: 1+ tan²θ = sec² θ    cos θ = 1/ sec θ   use both we will simplify

Q: cos 0 sin 0 0 - sin 0 cos 0 0 1

A: Here we get one real and two complex eigenvalues. We calculate eigen vector only for real…

Q: Establish each identity.

A: To establish the identity: sinθ+cosθ2+sinθ-cosθ2=2 Proof: We have identity, a+b2=a2+b2+2ab…

Q: Solve the equation for x, if possible.

A: Expanding along second column, we get

Q: 3 ) -5 cos (sin-1 () tan (cos-1 (=12)) cos ( 7. COS

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Q: Cos e sin 0 sin 0 + cos 60 (1 - tan 0) (1- cot 0)

A: cosθ1-tanθ+sinθ1-cotθ=cosθ1-sinθcosθ+sinθ1-cosθsinθ=cos2θcosθ-sinθ+sin2θsinθ-cosθ=cos2θcosθ-sinθ-sin…

Q: sin 2x+cos2x+1 1- Prove cot x sin 2x-cos 2x+1 2- Sinh (u-v) = Sinh u.Cosh v - Cosh u.Sinh v %3D

A: Evaluate the following 1-prove sin 2x+cos 2x+1/sin 2x-cos 2x+1=cot x 2-sinh(u-v) = sinh u.cosh v-…

Q: 1+ Cos(x)- Cos (x) Sin(x) + Cot(x) Sin(x)

A:

Q: Establish each identity.

A: Given sinθ+cosθcosθ-sinθ-cosθsinθ=secθcscθ

Q: Establish each identity given in attachment.

A: Given equation: sinθ-cosθ+1sinθ+cosθ-1=sinθ+1cosθ

Q: cos(x) – cos³ (x) = cos(x) sin²(x)

A: Here we use basic trigonometric relations,  We have,      Sin²(x) +Cos²(x) = 1         1— Cos²(x) =…

Q: establish each identity.

A: Our Aim is to prove sin θ cos θcos2 θ-sin2 θ=tan θ1-tan2 θ -(i)

Q: 1- cos () 1- cos(x) 1- sin°(;) 1+ cos(x)

A:

Q: cos(-x) 1– sin(-x) 4 x It sin x COS x 4 8 csc x 8 sec x -8 csc x -8 sec x

A: Use trignometric ratio and identities:-

Q: Establish each identity given in attachment.

A: To establish the identity, we need to prove that the left hand side is equal to the right hand side.…

Q: establish each identity.

A: Given : 1+sinθ1-sinθ=cosecθ+1cosecθ-1

Q: Establish each identity given in attachment.

A: Consider L.H.S. : sin θ+cos θsin θ-cos θ -sin θcos θ=sin θcos θ-sin θ cos θ -sin2 θ sin θ cos θ =sin…

Q: 1+ cos x 2. 1 - cos x (csc x+ cot x)2

A: L.H.S :    1+cos x1-cos x               =(1+cos x)(1+cos x)(1-cos x)(1+cos x)               =(1+cos…

Q: single trigonometric 2. Simplify sin (3x) cos (4x) + sin (4x) cos (3.x). Express your answer as a…

A: To simplify sin3x cos4x+sin4x cos3x. To express the answer as a single trigonometric function.

Q: (sin 0+cos 0)² 3. sin?0-cos20 sin²0-cos²0 (sin 0-cos 0)²

A: (Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Quèstion 1 2 L{ cos 31} = 2 L{ cos 31 } 2 L{ cos 31 sin 3t } 2 L{ sin 3f } cos 6t 2 None of These

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Q: ) cos(cos-¹(35)) ) sec(tan-¹(5)) csc(sin-¹(n)) ) cos ¹(cos(29°)) (4π) 5 =) sin ¹[sin ]]

A:

Q: 1) cos- 1 2 3) sin-1 V3 5) cos-.

A: As per our guidelines we are supposed to answer only first three parts.kindly repost others part as…

Q: sin2 x cos2 4. sin x- cos4 x X - - 1 4

A: To prove that the left-hand side is equals to the right-hand side.

Q: cos(x+π6)+sin(x−π3)=______

A:

Q: 3 (cos x)2 + 2 2(cot x)3 +4 cot x-5

A: Given the integral ∫3(cosx)2+22(cotx)3+4cotx-5dx

Q: المو Sin 2 0 CosG %3D Sin o COSG

A:

Q: sin 0(1 + tan 0) tan 0(sin0 +cos0)

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Q: /(sin x+cos

A: We have to simplify of the given expression using the trigonometry formula

Q: cos 0-2 cos 0 sin0 1-sin 0+sin²e-cos²0

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Q: cos 2x 25. cos x- sin x A sinx cos X cos x + sin x 2 cos x + sin x cos x - 2 sinx B 2 sin

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Q: sin(5x)+ sin(3x) tan(4x)= cos(3x)+ cos(5x)

A: We have to prove the identity

Q: Error Analysis In Exercises 43 and 44, describe theerror(s).

A: Given:43. 1tanx + cot-x44. 1+sec-θsin-θ + tan-θ

Q: sin3 (x) + sin(x) cos2(x)

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Q: sin0 - sece 8) cos0- csce 9) tan? 0 - cot? 0 1+ sine 1-sine 10) 1- sine 1+sin0 1 1 11) 1- sine 1+…

A: Question Number 8 Given expression sin θ - sec θcos θ - csc θ

Q: cos(x + =) – cos(x – ) = 1 6. cos ( x 6. 6.

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Q: Sin 40 x Cos 20 + Sin 20 x Cos 40.

A:

Q: sin²A = 1 - cos²A cos²A - 1 1 + cos²A

A: sin2A