Question

Sin^4theta +cos^4 theta =1-2sin^2thetacos^2theta

Answer 1

Answer:

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Answer 2

Answer:

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$sin {}^{4}  θ + cos {}^{4}  θ$

$(sin {}^{2}  θ) {}^{2} + (cos {}^{2}  θ) {}^{2}$

$= (sin {}^{2}  θ + cos {}^{2}  θ) { }^{2} - 2sin {}^{2}  θ \: cos {}^{2} \:  θ$

$= (1) {}^{2} - 2sin {}^{2}  θ \: cos {}^{2}  θ$

$= 1 - \: 2sin {}^{2}  θ \: cos {}^{2}  θ$