" 2.Prove that,"cos6 theta=32cos^(6)theta-48cos^(4)theta+18cos^(4)theta-1

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Prove that cos^(6)theta+sin^(6)theta=1-3sin^(2)theta cos^(2)theta

Prove that sin^(6)theta+cos^(6)theta=1-3sin^(2)theta cos^(2)theta

Prove that sin^(6)theta+cos^(6)theta=1-3sin^(2)theta.cos^(2)theta.

Prove that 2 (sin^(6)theta +cos^(6) theta ) - 3(sin^(4)theta +cos^(4) theta ) + 1 = 0

Prove : 2(sin^(6)theta+cos^(6)theta)-3(sin^(4)theta+cos^(4)theta)+1=0 .

cos^(3)2 theta+3cos2 theta=4(cos^(6)theta-sin^(6)theta)

cos6x=32cos^(6)x-48cos^(4)x+18cos^(2)x-1

cos6x=32cos^(6)x-48cos^(4)x-18cos^(2)x-1

2(sin^(6) theta + cos^(6)theta) - 3(sin^(4)theta + cos^(4)theta)+ 1 = 0

If sin theta+sin^(2)theta+sin^(3)theta=1, then prove that cos^(6)theta-4cos^(4)theta+8cos^(2)theta=4