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Mathematics
Mathematics
Problem
If
m
sin
(
α
+
β
)
=
cos
(
α
−
β
)
m \sin(\alpha + \beta) = \cos(\alpha - \beta)
m
sin
(
α
+
β
)
=
cos
(
α
−
β
)
, prove that
1
1
−
m
sin
2
α
+
1
1
−
m
sin
2
β
=
2
1
−
m
2
.
\frac{1}{1 - m \sin 2\alpha} + \frac{1}{1 - m \sin 2\beta} = \frac{2}{1 - m^2}.
1
−
m
sin
2
α
1
+
1
−
m
sin
2
β
1
=
1
−
m
2
2
.
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