if cos theta + cos^2 theta = 1
then value of sin^2 theta + sin^4 theta =
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2
Answer:
1
Step-by-step explanation:
sin^2 theta+sin^4theta
=(1-cos^2 theta)+(sin^2theta .sin^2 theta)
=cos theta+(1-cos^2 theta)(1-cos^2theta)
=cos theta+(cos theta+cos theta)
=cos theta+cos^2 theta
=1
Answered by
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given:cos theta +cos²theta=1
sin²theta+sin⁴theta=?
cos theta=1-cos²theta=sin²theta
we got cos theta =sin² theta
apply this sin²thera+sin⁴theta
sin²theta+sin⁴theta=cos theta+(sin²theta)²
cos theta+cos²theta
we know that cos theta+cos²theta=1
so sin²theta+sin⁴theta=1
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