Evaluating the difference of two angles for sine

The video tutorial explains how to break down the sine of 165 degrees using angle subtraction. It covers identifying coordinate points on the unit circle for 210 and 45 degrees, applying the angle subtraction formula for sine, and simplifying the resulting expression using common factors. The tutorial emphasizes understanding the unit circle and trigonometric identities to solve the problem effectively.

What is the coordinate point for 210 degrees on the unit circle?

• (-sqrt 3 / 2, -1/2)

• (sqrt 3 / 2, 1/2)

• (-1/2, sqrt 3 / 2)

• (1/2, -sqrt 3 / 2)

How do you label the angles when using the sine subtraction formula?

• A and B

• X and Y

• U and V

• M and N

What is the sine of 210 degrees?

• 1/2

• -1/2

• sqrt 3 / 2

• -sqrt 3 / 2

What is the result of multiplying the cosine of 210 degrees and the sine of 45 degrees?

• -sqrt 6 / 4

• sqrt 2 / 4

• sqrt 6 / 4

• -sqrt 2 / 4

What common factor can be factored out from the expression to simplify it?

• 1

• sqrt 2

• 1/2

• sqrt 3