Suppose that csc theta Squareroot 103 and pi SolutionCsc t

Suppose that csc theta = - Squareroot 10/3 and pi

Solution

Csc theta=-sqrt10/3

Sin theta=1/csc theta=-3/sqrt10

Cos theta=-1/sqrt10

Sin theta/2=sqrt((1-cos theta)/2) =sqrt((1+1/sqrt10)/2)

=sqrt((sqrt10 +1)/2sqrt10)

cos theta/2=-sqrt(1+cos theta)/2)=-sqrt((1-1/sqrt10)/2)

=-sqrt((sqrt10-1)/2sqrt10)