How to evaluate the inverse of the sine function

The video tutorial explains how to find the angle using the sine inverse function. It starts by understanding the problem and what needs to be evaluated. The process involves using the unit circle to find the angle that satisfies the sine equation. Restrictions are applied to ensure the angle is within the correct range, specifically between -π/2 and π/2. The tutorial concludes with tips on how knowing the unit circle can speed up solving similar problems.

What is the primary goal when evaluating a sine inverse problem?

• To calculate the tangent of an angle

• To find the cosine of an angle

• To find the hypotenuse of a triangle

• To determine the angle corresponding to a sine value

How does the unit circle help in finding the angle for a given sine value?

• It helps identify the angle corresponding to a sine value

• It shows the tangent values for angles

• It provides the cosine values for angles

• It lists the hypotenuse lengths for angles

What is the angle corresponding to a positive sine value of sqrt(3)/2?

• π/3

• π/2

• π/6

• π/4

Why are certain angles not chosen when applying restrictions for sine inverse?

• They are not on the unit circle

• They are outside the range of -π/2 to π/2

• They are outside the range of 0 to π

• They have a cosine value of zero

What is the final angle found for the sine inverse of -sqrt(3)/2?

• -π/6

• -π/3

• -π/2

• -π/4