Trigonometric Ratios of Allied Angles

The video tutorial explains allied angles, which are angles whose sum or difference is a multiple of 90 degrees. It covers how to identify allied angles in both degrees and radians, and discusses their positions in different quadrants. The tutorial also explores the behavior of trigonometric functions for negative angles, highlighting which functions are even and which are odd. Finally, it explains how the quadrant of an angle affects the trigonometric ratios and how these ratios change when the angle is a multiple of 90 degrees.

What are allied angles and how are they defined?

List the angles that are allied to the angle theta.

What are the allied angles when theta is measured in radians?

What is the significance of the quadrants in relation to the angle theta?

Explain how the sine and cosine functions behave for negative angles.

Define even and odd functions in the context of trigonometric functions.

How do the trigonometric ratios change when the angle has an odd multiple of 90 degrees?