cos(5t)+cos(3t) sin(5t)+sin(3t) What is the simplified form of O no correct answer O tan(4t) O cot(4t) O cos(4t) O sin(4t)

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

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Q: Establish each identity.

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Q: sin 2πα cos αx-sin πα cos α + sin αx cos πα-cos 2πα sin αx da α sin α (2π- x)-sin α (π-x) da | α II

A: See the attachment.

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

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Q: cos(x) = 3/6       3?/2 < x < 2? cos(x/2)=? sin(x/2)=? tan(x/2)=?

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Q: How do you solve this and can you show me step by step?

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Q: Cos 2x cos X-sin 2x sin x=radical 3/2. Use 0

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Q: sin 20 cose = tan 1+ cos 20 " 1+ cose 2

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Q: sin x - cos x = 1/5, what is (sin x) (cos x) equivalent to?

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Q: cos(2æ) Select an identity for cos(x) O cos(x) · cot(x) – sin(æ) O csc(x) O cos(x) – sin(æ) · tan(x)…

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Q: cos (2 sin-' (-}) tan-' (tan ())

A: To find the exact value

Q: sin 20 Cos0 1+ Cos 20 = tan 1+ cos0

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Q: cos 5x - cos 3x = -8 sin? x(2 cos3 x - cos x) Working with the left-hand side, use a Sum-to-Product…

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Q: establish each identity.

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

Q: How can I rewrite: sin(cos^-1(x)*cos(tan^-1(y)-cos(cos^-1(x))*sin(tan^-1(y))  as an algebraic…

A: Given expression

Q: Establish each identity.

A: Given cosθ-cos5θsinθ+sin5θ=tan2θ

Q: csc(x)=3     0<x<pie/2  cos(x/2)=? sin(x/2)=? tan(x/2)=?

A: Given that: cscx=3,   0&lt;x&lt;π2

Q: cos no sin ne - sin no cos no 4 -1 5 -4 -2 1 -3 1 -5 2 2 -1 3.

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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: cos(2 + x () 2 + cos x

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Q: 1. If tan x = -3 then tan (-x) =  2. If sin x = 0.3 then sin (-x) = 3. If cos x = 0.2 then cos (-x)…

A: Answer 1. We know that  sin(-x)=- sinx and cos(-x)= cos x  tan x= sin xcos xHence  tan (-x)= sin(-…

Q: cos 8+sin e ) sec 20 + tan 20 cos 0-sin e

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Q: cos (0) tan (0)+3tan(0)=0

A: cosθtanθ+3tanθ=0

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 ]]

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Q: 6. (a) Express cos (2 tan- ) (b) Express sin (2 cosx) as an algebraic expression in x. (c) Express…

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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: cos/ 3 17 cos (TA +x) tanx

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Q: sin 4t – sin 2t = tan t cos 4t – cos 2t

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Q: Verify the identity.

A: Given: verify the identity cos3x+cos5xcos3x-cos5x=cotxcot4x we know that…

Q: cos 0 - sin 0 tan (-0) = %3D 4 cos 0 + sin 0

A: tan(π4-θ)=cos(θ)-sin(θ)cos(θ)+sin(θ) LHS tan(π4-θ)=tan(π4)-tan(θ)1+tan(π4)tan(θ) [Because Angle…

Q: المو Sin 2 0 CosG %3D Sin o COSG

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Q: sin(16x) cos(8x) =;(sin( x) + sin( -8 2))

A: Let the given trigonometric function be y - y = sin(16x)cos(8x)Divide and multiply by 2 on the right…

Q: sin[cos^-1(12/13)+tan^-1(4/3)]

A: Given:

Q: cos² 2. Simplify the expression sin² -1 2-1 O-sec² x O-tan² x O tan² x O sec² x

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Q: /(sin x+cos

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

Q: 49. sin + o) = cos 0 52. cos (7 - 0) = -cos 0 55. tan (7 - 0) tan 0 %3D

A: 49. sinπ2+θ=cosθ Using addition formula  sinA+B=sinAcosB+cosAsinBsinπ2+θ=sinπ2cosθ+cosπ2sinθ…

Q: sin(cos (0.4498)) %3D -1.1069 0.8931 1.8931 2.8931 -0.1069

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

A: We have to prove the identity

Q: cos 4x cos(-2x) – sin 4x sin(-2x)

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

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Q: Sin'0+ Cos 0 =-(Cos40+ 3) 4 %3D

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Q: 90. (sin 0- cos 0) - 1= -2 sind cos 0 o€) 1=-2 sin & cos 0 COS

A: Given: sinθ−cosθ2−1=−2sinθcosθ We have to prove the given identity. Identity used: sin2θ+cos2θ=1

Q: Find sin(x/2) =  cos(x/2) =  tan(x/2) =  Given cos(x) = -24/25, 180 degrees < x < 270 degrees

A: topic - half angle values of trigonometric functions

Q: 1. If tan a = 2 then tan( a) = %3D 2. If sin z 0.1 then sin(- x): %3D 3. If cos a = 0.3 then cos(…

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Q: sin? ( * ) = 3 1- sec 2 ( * ) 3 1+ cos 2 ( *) 3 1- cos 2 ( * ) 3 1+ sec 2 ( * ) 3

A: Given query is to find the correct option.

Q: Verify the identity. (Simplify at each step.) (1 + cos α)(1 − cos α) = sin2 α   (1 + cos α)(1 − cos…

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