Given that $\sin A = q$, where $A$ is acute, express $\sin(90^\circ - A)$ in terms o

Question

Given that $\sin A = q$, where $A$ is acute, express $\sin(90^\circ - A)$ in terms of $q$.

Accepted Answer

$\sin(90^\circ-A)=\sqrt{1-q^2}$

Trigonometry - Symmetry of Trigonometric Functions