The simplified form of [csc(-x) +cos(-x)] - [10 sin² r sec²z]

Q: Verify the identity : 1-cosx sinx = 2 csc x sinx 1– COsx 2.

A: Given- 1-cosxsinx+sinx1-cosx=2cscx To verify- The above identity. Identity Used- sin2x=1-cos2x

Q: State the half-angle identities used to integrate sin2 x and cos2 x.

A: Given, The functions are sin2 x and cos2 x

Q: Find the value →21. csc (sec- 2) + cos (tan¬1 (– V3))

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Q: find the exact value cos(sin-1 5/13-tan -1 3/4)

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Q: Prove that sin 4A = 4sinA cos³A - 4 cosA sinA.

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Q: Establish the identity. 1- cos 0 sin 0 = 2 csc 0 sin 0 1- cos 0

A: We have to prove, 1-cosθsinθ+sinθ1-cosθ=2 cscθ

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

A: Definition used -                       Domain of sin-1(x) is [-1,1].                       Range of…

Q: cos 2x +1 sin 2x Prove that Please show proper steps sin 2x 1- cos 2x

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Q: Express sin 5x cos 3x as a sum of trigonometric functions.

A: Given           sin 5x cos 3x

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

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Q: Verify the identity: (cos 4x - cos 2x)/(sin 2x - sin 4x) = tan 3x

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Q: Verify the identity.

A: We have  cosx-5π2=sinx   It is known that cosA-B=cosAcosB+sinAsinB   Consider LHS:…

Q: and sin x<0, find: Sin (2x) If cosx = 12

A: cos(x) = π/12  Then,  sin(x)  =  1-cos2x  =  1-π2122  =  144-π212

Q: Verify the identity. sec 0- cos 0= tan 0 sin 0

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Q: Prove the equation Sin^2xcos^3x=(sin^2x-sin^4x)(cosx)

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Q: Show that sin(sin-1 v + cos-1 v) = 1.

A: sinsin-1v+cos-1v=1

Q: Find the value of  x cosx = cos600 cos300 + sin600 sin300

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Q: Find the exact value of sin sin 3. 元一3 |3|

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Q: Simplify. sin 2x · cos 3x – cos 2x · sin 3x

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Q: Find a value of x that satisfies the equation sin (-13°) = cos (x). %3D Submit

A: To find the value of x

Q: 1- sin2x/1+cos x=cos x. Verify the identity

A: The given identity:

Q: Find the exact value of the expression. tan(sin−1(-1/2)-cos-1(-1/2))

A: According to the given information it is required to calculate the exact value of the expression:

Q: The simplified form of [csc(-x) + cos(-x)] · [9 sin² æ sec? æ]

A: The simplified form of [csc(-x) + cos(-x)] [9 sin²x sec² x]

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

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

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Q: find solution set of tan-1x-cot-1x=cos-1(2-x)

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Q: Establish the identity. (5-) - sin cos 0 %3D

A: Given,          sinπ2-θ=cosθWe know that,           sinA-B=sinAcosB-cosAsinB

Q: Verify. esc (x) [I-cos(2x)] = 2 sin (x) SC

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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: Find a value of x that satisfies the equation sin (-11°) = cos (x). %3D Submit

A: We have to find x

Q: Verify the identity. cos 7x- cos 9x tan 8x sin 7x- sin 9x Statomont

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Q: Express sin 2θ in terms of x = sin θ.

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Q: Verify the identity. cos 3x 1 csc x-2 sin x 2 sin 2x

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Q: verify sin2(x)+cos2(x)=1

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Q: a value of x that satisfies the equation sin 53° = cos (x %3D

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Q: Verify the identity: sin(α + β) sin(α - β) = cos2 β - cos2 α

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Q: /2 sin-1 (-)

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Q: Evaluate V2 cos sin-! 2.

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Q: Find the exact value of sin-1 (-√2/ 2).

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Q: 2) Find the EXACT value of cos if tan(0) = 3 and sin(0) < 0

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

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Q: verify the identity sin2x-sin2y=cos2y-cos2x

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Q: Verify that (sin(x) – cos(x)) = 1- sin(2x)

A: sinx-cosx2=sin2x-2sinxcosx+cos2x     ∵a-b2=a2-2ab+b2=sin2x+cos2x-2sinxcosx=1-sin2x…

Q: Verify the identity : 2 sin2x-1= 1- 2 cos2x

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Q: What is the greatest possible value for the product of 2-sinx and 3 + cos5x

A: (2-sin(x))(3 + cos(5x)) =6-3sin(x)+2cos(5x)-sin(x)cos(5x)