Question

How do you find the value of cos 210degrees- csc 300 degrees?

Answer 1

`cos210-csc300=sqrt(3)/6`

Explanation:

`cos210-csc300=cos210-1/sin300=cos(180+30)-1/sin(360-60)=`

`=-cos30-(1/(-sin60))=-cos30+1/sin60=-sqrt(3)/2+1/(sqrt(3)/2)=`

`=-sqrt(3)/2+2/sqrt(3)=(-3+4)/(2sqrt(3))=1/(2sqrt(3))=sqrt(3)/6`