I recently solved a trigonometric question which asked for the minimum value of the \((\sin\theta + \csc\theta)^{2}+(\cos\theta +\sec\theta)^{2}\).I found there ar two answers, which one of them is correct?

A)8 B)9

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## Comments

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TopNewestHint: Expand and simplify the expression by using \(\sin^2 A + \cos^2 A = 1\). Then apply double angle formula \(\sin(2A) = 2\sin A \cos A\).Log in to reply

Can you show your working?

I believe that you didn't check the conditions under which we could apply arithmetic mean - geometric mean.

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