Precalculus

Question

Find all angles which satisfy the following equation. (Use the parameter k as necessary to represent any integer. Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)
csc(θ) = − 1/6

Answer 1

Csc θ = 1/sin θ = -1/6

 

Sin θ = -6

 

Since the sine ratio has a minimum value of -1 and a maximum value of 1, -6 is not a possible value for sine. Therefore the answer is NO SOLUTION!