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Questions and Answers
What is the trigonometric identity for sin(A+B)?
What is the trigonometric identity for sin(A+B)?
- cosA cosB - sinA sinB
- sinA cosB + cosA sinB (correct)
- sinA cosB - cosA sinB
- cosA cosB + sinA sinB
Which identity correctly represents tan(A+B)?
Which identity correctly represents tan(A+B)?
- tanA + tanB / 1 - tanA tanB (correct)
- tanA - tanB / 1 + tanA tanB
- 1 - tanA tanB / tanA + tanB
- 1 + tanA tanB / tanA - tanB
What is cos(A-B) equal to?
What is cos(A-B) equal to?
- sinA cosB + cosA sinB
- cosA cosB + sinA sinB
- cosA cosB - sinA sinB (correct)
- sinA cosB - cosA sinB
Which trigonometric function is equivalent to tan(0)?
Which trigonometric function is equivalent to tan(0)?
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What is the identity for sin(A-B)?
What is the identity for sin(A-B)?
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Study Notes
Trigonometric Identities
- cos(A-B) = cosA cosB + sinA sinB
- cos(A+B) = cosA cosB - sinA sinB
- sin(A+B) = sinA cosB + cosA sinB
- sin(A-B) = sinA cosB - cosA sinB
Co-Function Identities
- cosθ = sin(90-θ)
- tanθ = sinθ/cosθ
- cotθ = cosθ/sinθ
Sum and Difference of Angles
- tan(A+B) = (tanA + tanB) / (1 - tanA tanB)
- tan(A-B) = (tanA - tanB) / (1 + tanA tanB)
Negative Angle Identities
- sin(-θ) = -sinθ
- cos(-θ) = cosθ
- tan(-θ) = -tanθ
- sin(π+θ) = -sinθ
- cos(π+θ) = -cosθ
- tan(π+θ) = tanθ
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