If sin theta +sin^2 theta =1, then find the value of cos ^2theta +cos ^4theta?
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Answer:
sin theta = 1 - sin^2 theta
therefore, sin theta = cos^2 theta
cos^2 theta + cos^4 theta = cos^2 theta (1 + cos^2theta)
= sin theta (1 + sin theta)
= sin theta + sin^2 theta
= 1.
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