Question

If $\sin A=\sin B$ and $\cos A=\cos B$ , find all teh values of A in terms of B

Answer 1

solution:

$\sin A=\sin B$ is equation $\left(1\right)$

$\cos A=\cos B$ is equation $\left(2\right)$

then divide $\left(1\right)$ by $\left(2\right)$ to get

$\frac{\sin A}{\cos A}=\frac{\sin B}{\cos B}$

$\tan A=\tan B$

$A=n\pi +B$