1-cosx sinx : Prove sinx 1+cosx : Prove tan2 1-cosx %3D 1+cosx

Q: Show that Sinx+sin3x+sin5x/cosx+cos3x+cos5x=tan3x For all x for which tan 3x is dedined. Does this…

A: given that                      sinx+sin3x+sin5xcosx+cos3x+cox5x=tan3x and we have to proof…

Q: sin 20 5) Verify tan 0 %3D 1+cos 20

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Q: cosx+sinx=cos(2x)  Prove that tanx=-1

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Q: Find SinZx, Lo52x, Tan2x Cosxニーニ 3. and X terminates in quadrant 2 Sin2x = Cos 2x = tan 2x =

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Q: if cosx=tany,cosy=tanz,cosz=tanx ,then find sinx

A: Given,

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

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Q: prove tany csc3-tanX =cos x CSCX Sinx tanx tcosX-

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Q: Prove sin 2x cot x (1 - cos 2x)

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

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Q: Prove the identity. cos²x 1+ sinx (1– sinx)? 1- sinx

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Q: Find the smallest positive angle x in degree 1) cosx = -1/2 2) sinx = -1/2 3) tanx = -√3 4) Cscx =…

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Q: Prove the identity. cosx/1-sinx - 1/cosx = tanx

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Q: Verify identity tan2 2x + sin2 2x + cos2 2x = sec2 2x.

A: To verify: tan2 2x + sin2 2x + cos2 2x = sec2 2x WKT cos2x+sin2x=1 x refers to any number, Replace x…

Q: cotx (1- cos 2x) = sin 2x

A: Formulae used: 2sinx cosx = sin2x cotx = cosxsinx cos2x = 1-sin2x

Q: Prove that sin 5x + sin 3x/4 sin x cos^3 x - 4 sin^3 x cos x = 2 cos x

A: Given: sin5x+sin3x4sinxcos3x-4sin3xcosx

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: 1-cosx sinx B: Prove sinx 1+cosx

A: Consider,  LHS=1-cosxsinx       =1-cosxsinx×1+cosx1+cosx       ....(muliply and divide by 1+cosx)…

Q: Prove + cosß)* +(sina + sinß) = 4cos² a - B) %3D

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Q: (sinx + cosx)^2 = 1+sin(2x

A: Consider the given expression sinx+cosx2

Q: Prove the identity. cosx- cos 7x tan 3x %3D sinx+ sin 7x

A: Here we use basic formulas of trigonometric ratios to find addition and subtraction.

Q: Prove that 1-cos2x+sin2x 1+cos2x+sin2x = tan x

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Q: Complete the proof of the identity by choosing the Rule that justifies each step. cotx (1+ tan'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: Prove that sin3x/sinx - cos3x/cosx = 2

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

A: Topic- trigonometry

Q: prove that: sin7x.cos3x-cos7x.sin3x/tan2x=cos4x+1

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Q: 7. Show that sin (+ x) = -cosx.

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Q: Prove the identity. csc (-x) – sin (-x) = cosx cotx

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Q: Prove (cosa + cosB) + (sina + sinß)° = 4cos²- « - B) %3D

A: Prove this equation by using some trigonometry identity

Q: Prove (Start either from the LHS or the RHS but DO NOT work from both sides at the same tim 3. Prove…

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

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Q: cos 2x cotx-1 1+sin 2x cotx+1 20

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Q: Verify identity cot2 2x + cos2 2x + sin2 2x = csc2 2x.

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Q: sin 2x+cos2x+1 1- Prove cot x %3D sin 2x-cos 2x+1

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

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Q: Show that 1 1. sec-1 x = cos-1 x = cos-1 1-x 2. cos-1x = tan-1 1+x Find the exact value 1.cos[sin-1-…

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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 CotA= sin2A/1-cos2A

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Q: tan 0+ sece- 1_ 1+ sin0 cos 0 Show that tan0-sec0+1

A: Given the trigonometric equation (identity) is: tanθ+secθ-1tanθ-secθ+1=1+sinθcosθ To show that, the…

Q: Verify the identity 2 tan α/2 = (sin2 α + 1 - cos2 α)/sin α(1 + cos α)

A: Verify the identity 2 tan α/2 = (sin2 α + 1 - cos2 α)/sin α(1 + cos α)

Q: Verify the identity: (cos2 x - sin2 x)/(1 - tan2 x) = cos2 x

A: Verify: cos2x-sin2x1-tan2x=cos2x

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

A: Explanation of the prove is given below..

Q: Prove the identity Sinx/1-cosx=secx+1/tanx

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Q: Verify the identity: (sin 2x + sin 6x)/(sin 2x - sin 6x) = -tan 4x cot 2x

A: We have to verify the identity: sin 2x+sin 6xsin 2x-sin 6x=-tan 4x cot 2x We know the sum and…

Q: Verify that 2tan (x/2)= (sin2x+1-cos2)/(sin x(1+cos x)

A: Consider the given condition that,2tan (x/2) = (sin2x+1–cos2x)/(sin x(1+cos x)) … (1)Consider the…

Q: Prove the identity. cos (-x) 1- sin(-x) secx- tanx

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