Question

If $\sin A=\frac{1}{2}$, then find the value of $\cot A$.

Answer 1

$\sin A=\frac{1}{2}=\frac{\text{Opposite side}}{\text{hypotenuse}}$



so, the length of adjacent side = $\sqrt{2^2-1^2}$
= $\sqrt{3}$
we know that $cotA=\frac{\text{adjacent side}}{\text{opposite side}}$
so, $\cot A=\sqrt{3}$