If $\sec heta- an heta=m$, then the value of $\sec heta+ an heta$ is :\

Question

If $\sec 	heta-	an 	heta=m$, then the value of $\sec 	heta+	an 	heta$ is :\

Professor PC Thomas Classes · Answer

(c) : We have, \sec$	heta$ - tan$	heta = m   \ $Also, $\sec ^{2} 	heta-	an ^{2} 	heta=1$\ $\Rightarrow(\sec 	heta-	an 	heta)(\sec 	heta+	an 	heta)=1$\ $\Rightarrow m(\sec 	heta+	an 	heta)=1$\ $\Rightarrow \sec 	heta+	an 	heta=\frac{1}{m}$\