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)#