How to find the angle given the inverse of tangent

The video tutorial explains the use of the tangent inverse function to find angles, specifically when the tangent equals sqrt 3. It compares the simplicity of sine and cosine functions with the complexity of tangent, which involves using y/x coordinates. The tutorial demonstrates calculating tangent values for angles like π/6, 45 degrees, and 60 degrees, and simplifies the tangent to sqrt 3, identifying π/3 or 60 degrees as the angle. The importance of understanding radians is emphasized for making a mental shift in trigonometry.

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