Evaluate for theta between 0 and 2pi

The video tutorial explains how to evaluate Theta when the cosecant of Theta equals 2√3/3. It begins by discussing the relationship between cosecant and sine, emphasizing that cosecant is the reciprocal of sine. The instructor demonstrates how to find the reciprocal of coordinate points and rationalize the denominator to match the given cosecant value. The tutorial then identifies angles where sine equals √3/2, which corresponds to the given cosecant value. Finally, it explains the reflection over the Y-axis to find additional angles, concluding with the angles π/3 and 2π/3 as solutions.

Explain why the reciprocal of sine is used to find cosecant.

What is the significance of rationalizing the denominator in the context of cosecant?