Find the value of sinn1890∘+cosecn1890∘. Where n∈N
2
When we see the angle more then 360∘. We will write those angles as (n×360∘+θ) where n∈N
1890∘ = 360∘×5+90∘
sin(360∘×5+90∘)=sin90∘=1
and cosec (360∘×5+90∘)=cosec 90∘=1
So, sinn (360∘×5+90∘)=1
cosec n (360∘× 5 + 90∘)=1
=sinn 90∘+cosecn 90∘
=1+1
=2