Find all exact solutions of the equation on the interval [0, 2π).

cosxtanx=cosx

Step-by-step explanation:

We want to solve the equation:

On the interval [0, 2π).

First, we can subtract cos(x) from both sides:

Factor:

Zero Product Property:

Solve for each case:

Using the unit circle:

However, since tangent isn't defined for π/2 and 3π/2, we remove them from our solutions. Hence:

i believe so, according to my "strange" way of figuring out weird math problems like this.