Question

Find the other value of A if one value of A is ${45}^o$ and $(\tan A-1)(2\sin A-1)=0$.

Answer 1

$(\tan A-1)(2\sin A-1)=0$
Either $\tan A-1=0$ or $2\sin A-1=0$
$\tan A=1$ or $\sin A=\frac{1}{2}$
$\tan A=\tan 45$ or $\sin A=\sin 30$
$A={45}^{\circ }$ or $A={30}^{\circ }$