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Mathematics
Mathematics
Problem
If
sin
6
θ
+
cos
6
θ
−
1
=
λ
sin
2
θ
cos
2
θ
\sin^6 \theta + \cos^6 \theta - 1 = \lambda \sin^2 \theta \cos^2 \theta
sin
6
θ
+
cos
6
θ
−
1
=
λ
sin
2
θ
cos
2
θ
, find the value of
λ
\lambda
λ
.
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