Section 9.4 Sum to Product & Product to Sum Formulas Video Quiz

What is the first step in deriving the formula for cosine(a) * sine(b)?

• Multiply alpha and beta

• Replace beta with alpha and alpha with beta

• Add alpha and beta

• Divide alpha by beta

In the example of converting sum to product, what is the result of 2x over 2?

• 4x

• x

• 2x

• 1

How do you simplify cosine of negative x using the even property of cosine?

• Rewrite it as cosine of x

• Rewrite it as negative cosine of x

• Rewrite it as sine of x

• Rewrite it as negative sine of x

What is the result of applying the sum-to-product formula to cosine(58) + cosine(12)?

• sine(35) + sine(23)

• cosine(35) + cosine(23)

• 2 sine(35) sine(23)

• 2 cosine(35) cosine(23)

What is the result of converting sine(2x) * sine(x) to a sum?

• sine(x) + sine(3x)

• cosine(x) - cosine(3x)

• cosine(x) + cosine(3x)

• sine(x) - sine(3x)

What is the final simplified form of 2 sine(2x) in the double angle identity?

• 4 cosine(x) sine(x)

• 2 cosine(x) sine(x)

• 4 sine(x) cosine(x)

• 2 sine(x) cosine(x)

What is the simplified form of sine(101) - sine(32) using the sum-to-product formula?

• 2 cosine(69/2) sine(133/2)

• 2 sine(69/2) cosine(133/2)

• sine(69) - sine(133)

• cosine(69) - cosine(133)

How do you simplify the expression 2 sine(2x) * cosine(3x)?

• cosine(5x) + cosine(x)

• cosine(5x) - cosine(x)

• sine(5x) - sine(x)

• sine(5x) + sine(x)

How do you verify the identity of tangent(pi/4 - t)?

• Using the sum-to-product formula

• Using the product-to-sum formula

• Using the cosine addition formula

• Using the tangent subtraction formula

What is the final simplified form of 2 cosine(2x) * sine(x)?

• 4 cosine^2(x) sine(x)

• 2 cosine^2(x) sine(x)

• 4 sine^2(x) cosine(x)

• 2 sine^2(x) cosine(x)