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.

What are we trying to find when using the tangent inverse?

• A coordinate

• A value

• An angle

• A side length

How do you calculate the tangent of an angle using the unit circle?

• Sum of X and Y coordinates

• Difference of X and Y coordinates

• Y-coordinate over X-coordinate

• X-coordinate over Y-coordinate

What is the tangent of 60 degrees?

• 1/2

• sqrt 2 / 2

• sqrt 3 / 2

• sqrt 3

Which angle corresponds to the tangent value of sqrt 3?

• π/2

• π/3

• π/4

• π/6

Why is it important to understand radians in trigonometry?

• They are easier to calculate

• They are used in most mathematical contexts

• They are more accurate

• They are simpler to visualize