Evaluate the composition of sine and sine inverse

The video tutorial explains how to calculate the sine of π/6 using a calculator, emphasizing the importance of following the order of operations. It revisits the concept of the unit circle and identifies angles that produce a sine value of 1/2. The tutorial also covers inverse sine and the restrictions of quadrants for sine, cosine, and tangent functions, helping students understand which angles are valid for these trigonometric functions.

What is the first step when solving trigonometric problems involving parentheses?

• Calculate the outermost expression first

• Ignore the parentheses

• Solve the innermost expression first

• Use a calculator for all steps

What is the sine of π/6?

• 1/2

• 1

• 0

• √3/2

Which angles produce a sine value of 1/2?

• π/3 and 2π/3

• π/6 and 5π/6

• π/4 and 3π/4

• π/2 and 3π/2

In which quadrants is the inverse sine function restricted?

• 1st and 4th

• 2nd and 4th

• 1st and 3rd

• 1st and 2nd

For the inverse cosine function, which quadrants are used?

• 2nd and 3rd

• 3rd and 4th

• 1st and 2nd

• 1st and 4th