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Mathematics 17 Online
OpenStudy (anonymous):

plse solve this

OpenStudy (anonymous):

\[\tan ^{2}A=\cos ^{2}B - \sin ^{2} B\]

OpenStudy (anonymous):

like that?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

\[\frac{ \sin ^{2}A }{\cos ^{2}A }=\frac{ \cos ^{2}B-\sin ^{2}B }{1 }\]

OpenStudy (anonymous):

apply componendo and dividendo

OpenStudy (anonymous):

\[\frac{ \cos ^{2}A-\sin ^{2}A }{\cos ^{2}A+\sin ^{2}A }=\frac{ 1-\left( \cos ^{2}B-\sin ^{2}B \right) }{ 1+\left( \cos ^{2}B+\sin ^{2}B \right) }\]

OpenStudy (anonymous):

\[\frac{ \cos ^{2}A-\sin ^{2}A }{1 }=\frac{ 1-\cos ^{2}B+\sin ^{2}B }{1-\sin ^{2} B+\cos ^{2}B }\]

OpenStudy (anonymous):

\[\cos ^{2}A-\sin ^{2}A=\frac{ \sin ^{2}B+\sin ^{2}B }{\cos ^{2}B+\cos ^{2}B }\] Now you can solve.

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