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If sinA+sin^2A=1, then the value of cos^...

If `sinA+sin^2A=1,` then the value of `cos^2A+cos^4A` is

A

1

B

`1/2`

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
A
Given, sin A + `sin^(2)A=`
`rArr sinA= 1-sin^(2)A=cos^(2)A` `[therefore sin^(2)theta+cos^(2)theta=1]`
On squaring both sides, we get
`rArr sin^(2)A=cos^(4)A`
`rArr 1-cos^(2)A=cos^(4)A`
`rArr cos^(2)A+ cos^(4)A=1`
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NCERT EXEMPLAR-INTRODUCTION TO TRIGoNOMETRY AND ITS APPLICATIONS-Introduction To Trigonometry And Its Applications
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