WorksheetsSection 9.2: Sum and Difference Identities Quiz
Total questions: 10
Worksheet time: 5mins
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
