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Question
Prove the following identities:
sec2A + cosec2A = sec2A . cosec2A
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Solution
L.H.S. = sec2A + cosec2A
= `1/(cos^2A) + 1/(sin^2A)`
= `(sin^2A + cos^2A)/(cos^2A sin^2A)`
= `1/(cos^2A sin^2A)`
= sec2A cosec2A
= R.H.S. ...(∵ sin2A + cos2A = 1)
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