Evaluating the composition of sine and cosine functions

The video tutorial explains the concept of sine inverse, focusing on how to evaluate the sine inverse of 1/2. It uses trigonometric equations and unit circle concepts to find angles, specifically highlighting the 30-60-90 triangle. The tutorial also covers domain restrictions for inverse functions and demonstrates how to calculate the cosine of π/6 using the unit circle.

What is the purpose of using the sine inverse function in solving trigonometric equations?

• To find the hypotenuse of a triangle

• To isolate the angle in a trigonometric equation

• To calculate the cosine of an angle

• To determine the length of the opposite side

Which angle in the first quadrant produces a sine value of 1/2?

• 90 degrees

• 30 degrees

• 60 degrees

• 45 degrees

What is the sine value of 30 degrees in a 30-60-90 triangle?

• 1

• 1/2

• sqrt(3)/2

• 0

What is the range of angles for the inverse sine function?

• -π to π

• -π/2 to π/2

• 0 to π

• -π/4 to π/4

What is the cosine of π/6?

• 1

• sqrt(3)/2

• 1/2

• 0