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Mathematics
Problem
## Extending the Ideas 87. Prove that
sin
4
θ
−
cos
4
θ
=
sin
2
θ
−
cos
2
θ
\sin ^{4} \theta-\cos ^{4} \theta=\sin ^{2} \theta-\cos ^{2} \theta
sin
4
θ
−
cos
4
θ
=
sin
2
θ
−
cos
2
θ
.
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