Math, asked by geekgamer562, 9 months ago

Prove
Sin^4 theta+Cos4 theta- Sin^2 theta Cos^2 theta=1-3 Sin^2 theta Cos^2 theta

Answers

Answered by sangitadevikgp
0

LHS

sin⁴theta+cos⁴theta-sin²theta cos²theta

=(sin²theta)²+(cos²theta)²-sin²theta cos²theta

=(sin²theta+cos²theta)-2sin²theta cos²theta-sin²theta cos²theta

=1-3sin²theta cos²thets

LHS=RHS(proved)

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