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

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

A

1

B

2

C

4

D

3

Text Solution

Verified by Experts

The correct Answer is:
A
`cosA+cos^(2)A=1rArrcosA=(1-cos^(2)A)rArr cosA=sin^(2)A.`
`therefore (sin^(2)A+sin^(4)A)=(cosA+cos^(2)A)=1.`
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