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

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

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

If sintheta+sin^2theta=1 , prove that cos^2theta+cos^4theta=1

If sin theta+sin^(2)theta+sin^(3)theta=1 then value of cos^(6)theta-4cos^(4)theta+8cos^(2)theta is

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

IF sintheta+sin^2theta=1 prove that cos^2theta+cos^4theta=1 .

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

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

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