Master Evaluating the inverse of trigonometric functions without a calculator

The video tutorial explains how to evaluate inverse trigonometric functions, focusing on sine, cosine, and tangent. It covers the concept of working backwards from a coordinate point to find the angle, emphasizing the importance of restricted ranges for each function. The tutorial provides examples for each function, demonstrating how to determine the angle from given coordinate points on the unit circle. It also highlights the challenges of dealing with multiple angles and the use of coterminal angles to find the correct solution within the specified range.

Explain the significance of the restricted ranges for inverse trigonometric functions.

What is the angle for cosine inverse of sqrt 3 / 2?

What is the tangent of π / 4?

How do you determine the angle for inverse tangent of -sqrt 3?