Question #83fa3

1 Answer
Dec 21, 2017

#2#

Explanation:

#tantheta+cottheta=2#

square both sides

#(tantheta+cottheta)^2=4#

#=>tan^2theta+cot^2theta+2tanthetacottheta=4#

#tan^2theta+cot^2theta+2cancel(tanthetaxx1/tantheta)=4#

#tan^2theta+cot^2theta=4-2=2#