Given that $\sin heta=\frac{a}{b}$, find $\cos heta$.\

Question

Given that $\sin 	heta=\frac{a}{b}$, find $\cos 	heta$.\

Professor PC Thomas Classes · Answer

(c): Given that $\sin 	heta=\frac{a}{b}$\ $	herefore \quad \cos ^{2} 	heta=1-\sin ^{2} 	heta$\ $=1-\frac{a^{2}}{b^{2}}=\frac{b^{2}-a^{2}}{b^{2}}$\ $	herefore \quad \cos 	heta=\frac{\sqrt{b^{2}-a^{2}}}{b}$