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

Please help....

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

Please help....

No vote yet

1 vote

×

Problem Loading...

Note Loading...

Set Loading...

## Comments

Sort by:

TopNewestHint: Expand and simplify the expression by using \(\sin^2 A + \cos^2 A = 1\). Then apply double angle formula \(\sin(2A) = 2\sin A \cos A\). – Pi Han Goh · 5 months, 2 weeks agoLog 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. – Calvin Lin Staff · 5 months, 2 weeks ago

Log in to reply