Trigonometry Formulas Quiz
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Questions and Answers

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)?

  • 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?

  • 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)?

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    What is the identity for sin(A-B)?

    <p>sinA cosB - cosA sinB</p> Signup and view all the answers

    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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    Description

    Test your knowledge of trigonometry formulas with this quiz. Questions cover topics like cosine of sum/difference angles, sine of sum/difference angles, tangent of sum/difference angles, and more.

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