Question

if cosec theta=2 show that ( cot theta +Sin theta

Answer 1

If cosec teta=2 then sin teta=1/2

when we solve above question we get

cos teta/sin teta +sin teta/1+cos teta

as cot teta=cos teta/sin teta

take LCM and solve

we get cos teta+cos²teta+sin²teta/sinteta(1+cos teta)

=1+cos teta/sin teta(1+cos teta)

=1/sin teta=2

Hence, proved.