Finding the Inverse of the Sine Function

The video tutorial explains how to find the inverse sine of a given value. It starts by introducing the concept and then uses the unit circle to identify possible angles where sine equals 1/2. The focus is on positive values, eliminating negative possibilities. The tutorial then determines the valid angle within the range of -π/2 to π/2, concluding that the inverse sine of 1/2 is π/6. It also mentions the use of a chart for checking work but emphasizes understanding the process without it.

What is the sine value at 60 degrees on the unit circle?

• 1/2

• 0

• 1

• √3/2

Which of the following angles is not a solution for sine being 1/2?

• 60 degrees

• 150 degrees

• 240 degrees

• 30 degrees

What is the range restriction for the inverse sine function?

• 0 to 2pi

• -pi to pi

• -pi/2 to pi/2

• 0 to pi

Which angle is the correct inverse sine of 1/2 within the restricted range?

• pi/6

• 5pi/6

• pi

• 3pi/2

Why is it not always reliable to use a chart to find inverse sine values?

• Charts are difficult to read

• Charts are not accurate

• Charts are not always available

• Charts do not cover all angles