288
Question
tan2 A sec2B - sec2 A tan2 B= tan2 A- tan2 B.
tan2 A sec2B - sec2 A tan2 B= tan2 A- tan2 B.
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Solution
We know sec^2 A=1+tan^2 A
on substituting
tan^2 A (1+tan^2 B)-(1+tan^2 A)tan^2 B
=tan^2 A + tan^2 A× tan^2 B -tan^2 B - tan^2 A× tan^2 B
=tan^2 A-tan^2 B
LIKE IF SATISFIED
on substituting
tan^2 A (1+tan^2 B)-(1+tan^2 A)tan^2 B
=tan^2 A + tan^2 A× tan^2 B -tan^2 B - tan^2 A× tan^2 B
=tan^2 A-tan^2 B
LIKE IF SATISFIED
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