Question

If $\sec A=\text{cosec}A$ and $0^o\le A\le {90}^o$, state the value of $A$.

Answer 1

$\sec A=cosecA\Rightarrow \frac{1}{\cos A}=\frac{1}{\sin A}\Rightarrow \sin A=\cos A\Rightarrow \cos (90-A)=\cos A\Rightarrow 90=2A\Rightarrow A=45°$