Question

sin^4theta + 2 sin^2theta cos^2theta + cos^4 theta = 1


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Answer 1

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Answer 2

$it \: is \: known \: that \\ { \sin}^{2} \theta + { \cos }^{2} \theta = 1 \\ squaring \\ {({ \sin}^{2} \theta + { \cos }^{2} \theta)}^{2} = 1 \\ { \sin}^{4} \theta + 2 { \sin}^{2} \theta { \cos }^{2} \theta + { \cos}^{4} \theta = 1$