Prove.
\(\sec^2 a + cosec ^ 2 a = Sec^2 a. Cosec^2 a\)
Proof ::
LHS = sec2 A + cosec2 A
\(={1\over(cos^2A)}+{1\over(sin^2A)}={(sin^2A+cos^2A)\over(cos^2A sin^2A)}\)
\(={1\over(cos^2A sin^2A)}=sec^2A cosec^2A=RHS\)
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