Question

If $\sin A=\frac{5}{13}$ and $\cos A=\frac{5}{13}$. Find the value of all other trigonometric ratios.

Answer 1

$sinA=\left(\frac{5}{13}\right)cosA=\left(\frac{12}{13}\right)cosecA=\left(\frac{1}{sinA}\right)=\left(\frac{13}{5}\right)secA=\left(\frac{1}{cosA}\right)=\left(\frac{13}{12}\right)tanA=\left(\frac{sinA}{cosA}\right)=\left(\frac{5}{12}\right)cotA=\left(\frac{1}{tanA}\right)=\left(\frac{12}{5}\right)$