14. If Cos 2 A.Cos 2B = Cos 20, prove that: Sin² A.Cos² B+Cos² A.Sin² B = Sin²0

Q: Prove the following identity: cos³x-sin³x cosx-sinx = 1 + sinx coSX

A: We know,      a3 - b3 = (a - b)(a2 + b2 + ab) Also,     sin2x + cos2x = 1

Q: A. cos 2A = cos² A-sin² A B. cos 2A = (cos A - sin A) (cos A + sin A C. cos 2A = 2 cos² A-1 D. cos…

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Q: Verify the identity. (sec ² 0+1) (- sin² 0+1) = 2-sin ²0 20 rch Which of the following four…

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Q: True or False? Does the rectangular coordinate (1,0) represent the same point as the polar…

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Q: Let E R. Show that cos 20 cos²0-sin² 0.

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Q: 1. Prove the following identity: cos³x-sin³x = 1+ sinx cosSX cosx-sinx

A:

Q: 14) sin- 1 2 /-

A: 14. let x=sin-1(12)     x=π6                    (∵ sin(π6) = 12)

Q: Show that sin² 0 cos² 0 8 1 cos (40). 8

A: To show that: sin2θcos2θ=18-18cos(4θ) Solution: We know: 2sinxcosx=sin(2x)    ..(1)cos(2x)=1-2sin2x…

Q: 7. Give the exact answer for cos ( sin- 13

A: Consider the given expression

Q: 1 minus the fraction of cos squared theta/ 1 plus sin of theta

A: Use Pythagorean identity sin^2 theta + cos^2 theta=1  This gives, cos^2 theta = 1 - sin^2 theta