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plse solve this
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\[\tan ^{2}A=\cos ^{2}B - \sin ^{2} B\]
like that?
yes
\[\frac{ \sin ^{2}A }{\cos ^{2}A }=\frac{ \cos ^{2}B-\sin ^{2}B }{1 }\]
apply componendo and dividendo
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\[\frac{ \cos ^{2}A-\sin ^{2}A }{\cos ^{2}A+\sin ^{2}A }=\frac{ 1-\left( \cos ^{2}B-\sin ^{2}B \right) }{ 1+\left( \cos ^{2}B+\sin ^{2}B \right) }\]
\[\frac{ \cos ^{2}A-\sin ^{2}A }{1 }=\frac{ 1-\cos ^{2}B+\sin ^{2}B }{1-\sin ^{2} B+\cos ^{2}B }\]
\[\cos ^{2}A-\sin ^{2}A=\frac{ \sin ^{2}B+\sin ^{2}B }{\cos ^{2}B+\cos ^{2}B }\] Now you can solve.
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