Section 9.2: Sum and Difference Identities Quiz

What is the sum formula for cosine?

• cos(α+β) = sinαsinβ - cosαcosβ

• cos(α+β) = cosαsinβ + sinαcosβ

• cos(α+β) = sinαcosβ + cosαsinβ

• cos(α+β) = cosαcosβ - sinαsinβ

Which formula represents the cosine of the difference of two angles?

• cos(α−β) = sinαcosβ - cosαsinβ

• cos(α−β) = sinαsinβ + cosαcosβ

• cos(α−β) = cosαsinβ - sinαcosβ

• cos(α−β) = cosαcosβ + sinαsinβ

How can the sine of the sum of two angles be calculated?

• sin(α+β) = sinαcosβ + cosαsinβ

• sin(α+β) = sinαsinβ + cosαcosβ

• sin(α+β) = cosαcosβ - sinαsinβ

• sin(α+β) = cosαsinβ - sinαcosβ

What is the correct expression for the tangent of the sum of two angles?

• tan(α+β) = (tanα + tanβ) / (1 - tanαtanβ)

• tan(α+β) = (tanα - tanβ) / (1 + tanαtanβ)

• tan(α+β) = (tanα - tanβ) / (1 - tanαtanβ)

• tan(α+β) = (tanα + tanβ) / (1 + tanαtanβ)

Which identity is used to verify trigonometric identities?

• Sum and Difference Formulas

• Pythagorean Identity

• Double Angle Formulas

• Half Angle Formulas

What is the difference formula for sine?

• sin(α−β) = cosαsinβ + sinαcosβ

• sin(α−β) = cosαcosβ - sinαsinβ

• sin(α−β) = sinαsinβ + cosαcosβ

• sin(α−β) = sinαcosβ - cosαsinβ

Which formula is used to find the cosine of an angle using its cofunction?

• cosθ = sin(π/2 − θ)

• cosθ = cos(π/2 − θ)

• cosθ = cot(π/2 − θ)

• cosθ = tan(π/2 − θ)

What is the formula for the tangent of the difference of two angles?

• tan(α−β) = (tanα + tanβ) / (1 + tanαtanβ)

• tan(α−β) = (tanα - tanβ) / (1 + tanαtanβ)

• tan(α−β) = (tanα + tanβ) / (1 - tanαtanβ)

• tan(α−β) = (tanα - tanβ) / (1 - tanαtanβ)

Which of the following is a correct application of the sum formula for cosine?

• Calculating the tangent of the sum of two known angles

• Finding the sine of the sum of two known angles

• Finding the cosine of the sum of two known angles

• Determining the cotangent of the sum of two known angles

What does the sum and difference identity help to simplify in trigonometry?

• Calculus derivatives and integrals

• Geometric shapes and forms

• Algebraic expressions only

• Trigonometric expressions and equations