If sin theta=m/n,find the value of (tan theta+4)/(4 cot theta+1)?

1 Answer
Aug 17, 2017

(tantheta+4)/(4cottheta+1)

=(tantheta(1+4/tantheta))/(4cottheta+1)

=(tantheta(1+4cottheta))/(4cottheta+1)

=tantheta

=sintheta/costheta

=sintheta/sqrt(1-sin^2theta)

=(m/n)/sqrt(1-(m/n)^2)

=m/sqrt(n^2-m^2)