Determining the sine of the sum of two angles

The video tutorial explains how to solve the sine of the sum of two angles, specifically π/3 and π/4, using the sine angle sum formula. The instructor guides students through identifying the angles, applying the formula, and evaluating the angles using the unit circle. The tutorial concludes with simplifying the expression to reach the final answer, emphasizing common factors in the numerator and denominator.

What is the formula for the sine of the sum of two angles?

• sin(U + V) = cos(U) * cos(V) - sin(U) * sin(V)

• sin(U + V) = cos(U) * sin(V) - sin(U) * cos(V)

• sin(U + V) = sin(U) * cos(V) + cos(U) * sin(V)

• sin(U + V) = sin(U) * sin(V) - cos(U) * cos(V)

What is the sine of π/3 according to the unit circle?

• sqrt(2)/2

• sqrt(3)/2

• 0

• 1/2

Which coordinate represents the cosine of an angle on the unit circle?

• Z coordinate

• Y coordinate

• W coordinate

• X coordinate

What common factor can be factored out from the numerator in the expression?

• 1/2

• sqrt(2)

• sqrt(3)

• 4

What is the final simplified result of the expression?

• sqrt(2)/2 * (sqrt(3) + 1)

• sqrt(2)/4 * (sqrt(3) + 1)

• sqrt(3)/4 * (sqrt(2) + 1)

• 1/4 * (sqrt(2) + sqrt(3))