If $\sin heta=\cos heta$, then the value of $ an ^{2} heta+\cot ^{2} heta$ is\

Question

If $\sin 	heta=\cos 	heta$, then the value of $	an ^{2} 	heta+\cot ^{2} 	heta$ is\

Professor PC Thomas Classes · Answer

(a): We have $\sin 	heta=\cos 	heta$\ or $\frac{\sin 	heta}{\cos 	heta}=1$\ $\Rightarrow 	an 	heta=1$ and $\cot 	heta=1$\ $	herefore \quad 	an ^{2} 	heta+\cot ^{2} 	heta=1^{2}+1^{2}=2$ $$ \left[\because \cot 	heta=\frac{1}{	an 	heta}ight] $$  Concept applied - Use of Trigonometric ratios