prove that:
sin²theta+ cos⁴theta= cos²theta +sin⁴theta
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Step-by-step explanation:
follow the above steps
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Answered by
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Answer:
Cos^2theta + Sin^4theta
Step-by-step explanation:
Sin^2theta + cos^4theta
=1-cos^2theta + (cos^2theta)^2
=1-cos^2theta + (1-sin^2theta)^2
=1-cos^2theta + 1-2sin^2theta + sin^4theta
=1-cos^2theta +1-2(1-cos^2theta)+sin^4theta
=2-cos^2theta-2-2cos^2theta+sin^4theta
=sin^4theta+cos^2theta
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