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Mathematics
Mathematics
Problem
If
cos
2
α
−
sin
2
α
=
tan
2
β
\cos^2 \alpha - \sin^2 \alpha = \tan^2 \beta
cos
2
α
−
sin
2
α
=
tan
2
β
, then show that
tan
2
α
=
cos
2
β
−
sin
2
β
\tan^2 \alpha = \cos^2 \beta - \sin^2 \beta
tan
2
α
=
cos
2
β
−
sin
2
β
.
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