Question

cos A+cos^2A=1 then verification of sin^2A+sin^4A=1

Answer 1

Answer:

Step-by-step explanation:

CosA + Cos^2A = 1 ————— (1)

CosA + Cos^2A = Sin^2A + Cos^2A

CosA = Sin^2A —————-(2)

Squaring on both sides

Cos^2A = Sin^4A —————- (3)

Adding 2&3

Therefore

Sin^2A + Sin^4A = CosA + Cos^2A

Sin^2A + Sin^4A = 1 ————- From (1)

Hence proved