Solving Trig Functions

Question

Find all solutions of the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to two decimal places where appropriate.)

csc² 𝜃 − 4 = 0

𝜃 = 

 

 rad

Answer 1

It is simple algebra to show that sin θ=±1/2.

In the first quadrant this means that θ=30º=π/6 radians

It should be easy for you to find the other values of θ in the interval [0,2π]...and then remember that every angle in that interval ± 2πk will also satisfy the original equation, where k is an integer.