What is the value of θ? Give your answer in radians and degrees.

Question

Suppose that cscθ= 6/√27

Assume that θ is an acute angle.

Answer 1

csc(theta) = 6/sqr27

csc(theta) = 1/sin(theta)

sin(theta) = sqr27/6 = 3sqr3/6 = sqr3/2. It's a 1-sqr3-2 right triangle

theta = 60 degrees = pi/3 radians