SOLUTION: If tan^2 A = cos^2 B -sin^2 B ,prove that cos^2 A -sin^2 A =tan^2 B

SOLUTION: If tan^2 A = cos^2 B -sin^2 B ,prove that cos^2 A -sin^2 A =tan^2 B

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Question 474966: If tan^2 A = cos^2 B -sin^2 B ,prove that cos^2 A -sin^2 A =tan^2 B
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
We are given that , or
.
It is enough to show that .
Now
==> ==>
==>
==> , after taking reciprocals.
==> ,
==> , and the statement is proved.
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