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

1 Answer
Daniel L.
Oct 11, 2015

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

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