4 cos x+ cos x= sin "x- 4 2. sin x

Q: Establish each identity.

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Q: 3 sin x + 4 cos x +5**

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Q: | sin* x cos xdx 4 X COS X

A: This question is related to integration.solve as below

Q: cos x-2 cos 3x + cos 5x b. cos x +2 cos 3x + cos 5x :-tan x. %3D

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Q: 1+ sin(x) cos(x) 1+ sin(x) = 2sec(x) cos(x)

A: on solving this

Q: cos²x 6. 1+ sin x = 1- sinx tanx - сotx 7. sec'x - csc?x = sin xcosx 8.1 tin cos2x = cscx - secx…

A: We have to verify that the given trigonometric identity.

Q: he interval [0,2r) cos (x) sin (x) = 2 cos (x)

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Q: 1. If tan x = 2 then tan( - x) : %3D 2. If sin x = 0.7 then sin( – x) 3. If cos x = 0.7 then cos( –…

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Q: sin(2x) cos(2x) Prove sec(x) sin(x) cos(x)

A: Trigonometry

Q: sin (x) – cos²(x) Show that 1 F COS %3D CSC (x)

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Q: b) (cosx+ Sinx)² - Cos x+sinx)(cosx-Sinac) tan 2x 2. c) 1-Cos-x - Sin2oc) Sin X - 2cos x

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Q: Prove the Identity

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Q: cos x - sec x = 0

A: Given equation can be written as Since secx=1/cosx Therefore, we have

Q: 1/sin(x)/cos (x)+cos (x)/1+sin(x)=4 Prove

A: For x= pi/3

Q: plutions of the equation in the interval [0, 27). cos 4x sin 5x - sin 3x - 1 = 0

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Q: sin 5x + sin 3x 2 cOS X 4 sin x cos 4 sin x cos x 3 X COS -

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Q: 2 sin(x) cos(x) + v2 cos(x) = 0 COS

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

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Q: sin (3x) + cos (3x) cos(x) – =1+4sin(x)cos(x)

A: We use sin(3x)= 3sinx-4sin3x and cos (3x)= 4cos3x-3cosx .

Q: 3下 2 cos x 1-Sin x

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Q: cos x + sin² x + 1 dx cos² x (sin² x + 1)

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

A: Given:1+sinxcosx+cosx1+sinx=2secx

Q: snip

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Q: Sin 20 + cos20 +1 Sin 20-cos20 +1 - - сото

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Q: Verify the identity:

A: Given : 1sinxcosx - cosxsinx = tanx

Q: VERIFY THE IDENTITY

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Q: 8 sin x cos x sec x =

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Q: - sin sin -y = sin (x+y) Prove that cos Xcos 4 -y 4 -x sin 4 X - 4

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

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Q: 1. sin x sin 2x + cos x cos 2x = COS X

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Q: . sin 2x cos x+ cos 2 sin x = 12

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Q: sin 0- cos 0 = V2

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Q: Find the exact value of the expression whenever it is defined.

A: Given:a sinsin-1513- cos-1-35b cossin-145+tan-134c tancos-112- sin-1 -12

Q: cos(x+π6)+sin(x−π3)=______

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Q: (1+cos.x) sin x tan x+sin x (10) %3D tan x- sin x

A: We solve this by using trigonometry identity

Q: 1) cos- 0 V3 3) cos-! 5) sin--1 7) cos-1

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Q: VERIFY THE IDENTITY

A: By half angle formula , we have

Q: 1 1. sec-1 x = cos-1 = cos

A: we have to show that the given relation.

Q: (1-cos(x))= (2-2sin^2(x)) from (-pi, pi)

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

A: We have to prove the identity

Q: V3 1) tan 3 cos¯1 –1 -1 2) cos-1 | 3) sin- 0 4) tan-' (-V3) 5) tan- 6) sin- 7) cos 2 8) tan- –1

A: tan-133

Q: cos 2x-sin x 4. -(tan x +secx) %3D sin 2x - cos x

A: Given: prove that cos2x-sinxsin2x-cosx=-tanx+secx For verifying given expression, we solve left hand…

Q: 1- sin(-x) 11. cos x+ cos(-x)sin = sec x

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: 5.) cos (x -) + sin ( – x) = cos x cos (x -) + sin ( - x) = 3

A: Since multiple questions are asked, according to guidelines answering first question. Cos60 =1/2…

Q: Solve over the interval [0,2pi)

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Q: sin x cos x tan x = 1 – cos² x -

A: