If `costheta+cos^2theta=1,` Prove that: `sin^(12)theta+3sin^(10)theta+3sin^8theta+sin^6+2s in^4theta+2sin^2theta-2=1`

If costheta+cos^2theta=1, Prove that: sin^(12)theta+3sin^(10)theta+3sin^8theta+sin^6 theta+2sin^4 theta+2sin^2theta-2=1

If cos theta+cos^(2)theta=1, Prove that: sin^(12)theta+3sin^(10)theta+3sin^(8)theta+sin^(6)+2sin^(4)theta+2sin^(2)theta-2=1

If cos theta+ cos^2 theta=1 , prove that sin^12 theta+3sin^10 theta+3sin^8theta+sin^6theta+2sin^4theta+2sin^2theta-2=1

If cos theta+cos^(2)theta=1, prove that sin^(12)theta+3sin^(10)theta+3sin^(8)theta+sin^(6)theta+2sin^(4)theta+2sin^(2)theta-2=1

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

Prove that cos^(2)theta sin^(3)theta=1/16(2 sin theta+sin 3theta-sin5 theta)

If sintheta+sin^2theta=1, then prove that cos^(12)theta+3cos^(10)theta+3cos^8theta+cos^6theta-1=0 Given that sintheta=1-sin^2theta=1-sin^2theta=cos^2theta

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

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

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