Question

sin theta +cosec theta =2 then find 1/sin1000 theta +sin1000 theta

Answer 1

if 1000 is the power of sin then solution
sunheta+1/sunheta=2
sin2theta+1-2sintheta=0
(sintheta-1) square=0
sin theta =1
cosectheta=1
so sin power 1000+cosecpower1000=2