How to evaluate sum of two angles using the sum formula for sine

The video tutorial explains the sine formula for the sum of two angles, using U and V as examples. It covers the unit circle and how to determine coordinates for specific angles, such as π/6 and π/4. The tutorial demonstrates evaluating trigonometric expressions by plugging in angles and calculating the sine and cosine values. It concludes with a discussion on the signs of trigonometric functions and their differences.

What is the formula for the sine of the sum of two angles U and V?

• cos(U) * sin(V) - sin(U) * cos(V)

• sin(U) * sin(V) + cos(U) * cos(V)

• cos(U) * cos(V) - sin(U) * sin(V)

• sin(U) * cos(V) + cos(U) * sin(V)

In the unit circle, what does the cosine of an angle represent?

• The Y coordinate

• The X coordinate

• The radius

• The angle in degrees

What are the coordinates for the angle π/6 on the unit circle?

• (-sqrt(2)/2, sqrt(2)/2)

• (sqrt(2)/2, sqrt(2)/2)

• (sqrt(3)/2, 1/2)

• (1/2, sqrt(3)/2)

When applying the sine sum formula, what is the result of sin(3π/4) * cos(π/6)?

• sqrt(6)/4

• sqrt(3)/2

• sqrt(2)/4

• 1/2

What can be factored out from the expression sqrt(6)/4 - sqrt(2)/4?

• sqrt(2)

• 4

• sqrt(3)

• 1/2