Simplifying an expression using the sum formula for sine

The video tutorial explains the formula for the sum of two angles, demonstrating how to apply it using specific values for angles U and V. The instructor guides students through plugging these values into the formula and evaluating the result using the unit circle. The tutorial emphasizes understanding the sine and cosine functions and their coordinates on the unit circle.

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

• sine(U) * sine(V) + cosine(U) * cosine(V)

• sine(U) * cosine(V) + cosine(U) * sine(V)

• cosine(U) * cosine(V) - sine(U) * sine(V)

• sine(U) * sine(V) - cosine(U) * cosine(V)

When substituting U = 3π/2 and V = π into the formula, what is the first step?

• Substitute the values into the formula

• Find the tangent of U

• Evaluate the sine of V

• Evaluate the cosine of U

What is the sine value of the angle 3π/2 on the unit circle?

• Undefined

• -1

• 0

• 1

How does the cosine of 3π/2 affect the expression when evaluated?

• It becomes 1 and adds to the expression

• It becomes 0 and nullifies part of the expression

• It becomes -1 and subtracts from the expression

• It becomes undefined and cannot be used

What is the final expression for the sine of the sum of angles when U = 3π/2 and V = π?

• sine(Theta)

• -cosine(Theta)

• -sine(Theta)

• cosine(Theta)