prove that√sec²+cosec²= tan +cot
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Step-by-step explanation:
√(sec^2 x+cosec^2 x)
=√(1/cos^2 x+1/sin^2 x)
=√(sin^2 x+ cos^2 x)/(sin^2 x×cos^2 x)
=√1/(sin^2 x cos^2 x)
=1/(sinx×cosx)
=(sin^2 x+ cos^2 x)/(sin x×cos x)
=sin x/cos x+ cos x/ sin x
=tan x+cot x
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