If `cosA+cos^(2)A=1`, then prove that `sin^(2)A+sin^(4)A=1`.

If cosA + cos^(2)A =1 , then what is 2(sin^(2)A + sin^(4)A) is equal to?

If cosA+cos^(2)A=1 , then find the value of sin^(12)A+3sin^(10)A+3sin^(8)A+sin^(6)A+sin^(4)A+sin^(2)A .

If cosA+cos^(2)A=1 , then find the value of sin^(8)A+2sin^(6)A+sin^(4)A .

If (cos^(4)A)/(cos^(2)B)+(sin^(4)A)/(sin^(2)B)=1 then prove that (i)sin^(2)A+sin^(2)B=2sin^(2)A sin^(2)B(ii)(cos^(4)B)/(cos^(2)A)+(sin^(4)B)/(sin^(2)A)=1

If cosA+cos^2A=1, find the value of sin^2A+sin^4A.

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

If (cos^4A)/(cos^2B)+(sin^4A)/(sin^2B)=1 , then prove that (i) sin^4A+sin^4B=2 sin^2Asin^2B (ii) (cos^4B)/(cos^2A)+(sin^4B)/(sin^2A)=1

If (cos^4A)/(cos^2B)+(sin^4A)/(sin^2B)=1 , then prove that (i) sin^4A+sin^4B=2 sin^2Asin^2B (ii) (cos^4B)/(cos^2A)+(sin^4B)/(sin^2A)=1

If (cos^4A)/(cos^2B)+(sin^4A)/(sin^2B)=1 then prove that (i)sin^4A+sin^4B=2sin^2Asin^2B (ii)(cos^4B)/(cos^2A)+(sin^4B)/(sin^2A)=1

Prove that 4sinA.cosA.cos2A=sin4A