Use the cofunction identities to select the correct answer which fills in the blank. cos(10x) = sin_ O cos(10x) = sin(180° + 10x) O cos(10x) = sin(180° – 10x) O cos(10x) = sin(90° + 10x) O cos(10x) = sin(10x – 90°) O cos(10x) sin(90° – 10x)

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: Express as a sum or difference.sin (-4x) cos 8x

A: sin-4xcos8x

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

A:

Q: write sin(3x)cos(6x) + cos(3x)sin(6x) as a single trig function

A: This question is related to Trigonometric identities, we will solve it using given information.

Q: 1+cos2x 3. cotx sin 2x

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Q: simplify sin 2x/1-cosx   Not sin^2x its sin2x

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

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Q: (1+cos3x)² -dx sin23x

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Q: Simplify: cosx sec x – cos² x O cos² x sec x sin x

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Q: 2

A: Prove: cos²(x/2)=(sin²x)/(2-2cosx)

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

A:

Q: Verify the identity. cos x = sin x sin 2x + cos x cos 2x

A: we have to verify the identity

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

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Q: Show that Cosx dx 9- Sin 3D

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Q: 2- tan²x + 1 + tanx secx = 1+sinx cos²x

A: To show that , tan2x+1+tanx.secx=1+sinxcos2x

Q: Let ƒ(x) = (cos( − 4x – 5)) (sin(6x − 2)). Then ƒ'(x) =

A: f(x)=(cos(-4x-5))(sin(6x-2))

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

A: The given identity is ot2 2x + cos2 2x + sin2 2x = csc2 2x

Q: Use th Start! 1- cos 2x

A: Given:1-cos2x/cos2x To simplify we use some trigonometric properties

Q: To evaluate sin42x cos 2x dx , the identities to be used is/are: sin22x = 1- cos?2x В cos²2x = 1-…

A: Check the identities

Q: Show that 3(sinx-cosx)*+6(sinx + cosx) +4 (sin r+cosx) = 13

A: Since multiple questions are asked, Answering first one. Repost with other question if you want to…

Q: Evaluate 2 sin² x cos³ x dx 0,

A: Given that: ∫0π2sin2x.cos3xdx

Q: Verify the identity: 4 cos x cos 2x sin 3x = sin 2x + sin 4x + sin 6x

A: We have to verify the identity: 4cosxcos2xcos3x=sin2x+sin4x+sin6x We know that…

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

A:

Q: How many solutions on the interval [0, 2020π] does the equation 1/2 sin2x + 1 = sinx + cosx have?

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Q: sin2x+cos2 for x = 55 degrees.

A: Apply trigonometric identity cosA=sinπ2-A to rewrite the expression. sin2x+cos2x=sin2x+sinπ2-2x…

Q: verify that (sin(x)-cos(x))^2=1-sin(2x)

A:

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

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Q: Sz sin2m-10 cos2n-10 —— В (т, п) 2

A: It is known that, βm,n=∫01xm-11-xn-1dx

Q: Prove that sin3x/sinx - cos3x/cosx = 2

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

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Q: Verify: 1. (sinx – cosx)² – 1 = -sin2x %3D

A: We can verify the statement as below

Q: Write sin(2x) cos(7x) as a sum of trigonometric functions. sin (9x) + cos(2x) sin(7x) X

A:

Q: 4 dx 1– cos(4x)

A: We to evaluate the integral ∫4 dx1 - cos 4x

Q: Express as a sum or difference.3 cos x sin 2x

A: To express: The expression 3cos x·sin 2x as a sum or difference. Given: The expression is 3cos x·sin…

Q: If 16(sinx) + 16(cosx)2 10 then x-.. %3D

A: Given that 16(sin x)2+16(cos x)2=10. That is 16sin2x+16cos2x=10. We have to find x value.

Q: By equating the real parts of cos5θ + j sin5θ = (cosθ + j sinθ)5 Show that cos5θ = 16cos5θ -…

A: Given By equating the real parts of cos5θ + j sin5θ = (cosθ + j sinθ)5

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

A:

Q: Verify the identity. sin 5x + sin 3x 2 cos x 4 sin x cos3 x - X – 4 sin x cos x 3.

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Q: . Evaluate cos 3x sin² 3x dx

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Q: Evaluate: ( cos$ 2xdx sin 2x

A:

Q: compute:   ∫sin^3xcos^2xdx

A: We have to find:

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)

Q: verify the identity: (sinx + cosx)2 = 1 + 2sinxcosx

A:

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

A: Explanation of the prove is given below..

Q: Hint: the conjugate of the denominator #svon sinx - cosx + 1 sinx + 1 %3D xS200is sinx + cosx + 1…

A:

Q: Evaluate: cos32xdx cos³2x - +C 6. cos2x (A) cos32x +C cos2x B sin2x sin32x +C 6. = 2 sin32x + C 6.…

A: Given query is to find the integral.

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: Simplify [cos 20-i sin2018[cos 30+ i sin301² [cos 40+ i sin40 1³ [cos 20-i sin2015 using De Moivre's…

A: This question can be solved using the De Moivre's theorem which says eix=cosx+isinx

Q: Find sin 2x, cos 2x, and tan 2x if sinx and x terminates in quadrant IV. sin 2x cos 2x %3D tan 2x

A: