Learn how to evaluate the composition of a function and inverse function

The video tutorial explains how to determine the angle that gives a cosine of 1/2, focusing on the first quadrant where cosine is positive. It then calculates the sine of 2 times pi over 3, identifying its position in the second quadrant and analyzing the coordinate points, emphasizing the negative x-coordinate and the positive y-coordinate for sine.

Which angle in the first quadrant gives a cosine value of 1/2?

• pi over 3

• pi over 6

• pi over 2

• pi over 4

In which quadrant is the angle 2 pi over 3 located?

• Third quadrant

• Second quadrant

• First quadrant

• Fourth quadrant

What happens to the x-coordinate in the second quadrant?

• It becomes positive

• It becomes negative

• It remains unchanged

• It becomes zero

What does the sine function represent in terms of coordinates?

• X-coordinate

• Y-coordinate

• Z-coordinate

• Origin

What is the sine value of 2 pi over 3?

• 1/2

• Square root of 2 over 2

• Square root of 3 over 2

• 0