Composition of trig function and inverse trig function

The video tutorial covers the composition of functions, focusing on the cosine inverse and sine of 4π/3. It explains how to determine the quadrant and angle using the unit circle, emphasizing the importance of understanding the restrictions of cosine inverse to find a single solution. The lesson aims to help students visualize and calculate angles mentally, reinforcing the concept of function composition.

What is the primary focus of the tutorial as mentioned in the introduction?

• To entertain the students

• To help students understand the composition of functions

• To prepare students for a sports event

• To discuss historical events

In which quadrant is the angle 4π/3 located?

• Fourth Quadrant

• Second Quadrant

• First Quadrant

• Third Quadrant

What is the sine value of the angle 4π/3?

• Negative 1/2

• Positive sqrt 3 / 2

• Negative sqrt 3 / 2

• Positive 1/2

Why can the inverse cosine function only have one answer?

• Because it is restricted to the third and fourth quadrants

• Because it is restricted to the first and second quadrants

• Because it is not a function

• Because it can have multiple answers

What angle corresponds to the cosine inverse of -sqrt 3 / 2?

• 5π / 6

• π / 6

• 2π / 3

• π / 3