Trigonometry Basics Quiz
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Questions and Answers

What is the value of $ an(45^ ext{o})$?

  • undefined
  • 1 (correct)
  • 2
  • 0
  • Which of the following relationships is true for any angle $ heta$?

  • $ an( heta) = rac{ ext{hypotenuse}}{ ext{adjacent}}$
  • $ an( heta) = rac{ ext{opposite}}{ ext{hypotenuse}}$
  • $ an( heta) = rac{ ext{opposite}}{ ext{adjacent}}$ (correct)
  • $ an( heta) = rac{ ext{adjacent}}{ ext{opposite}}$
  • If $ heta$ is an angle such that $ an( heta) = rac{3}{4}$, what is the value of $ rac{1}{ an( heta)}$?

  • $ rac{3}{4}$
  • $ rac{1}{7}$
  • $ rac{4}{3}$ (correct)
  • $3 - 4$
  • What is the formula for calculating the sine of the sum of two angles, $ heta$ and $eta$?

    <p>$ ext{sin}( heta + eta) = ext{sin}( heta) ext{cos}(eta) + ext{cos}( heta) ext{sin}(eta)$</p> Signup and view all the answers

    Which of the following is the correct Pythagorean identity?

    <p>$ ext{sin}^2( heta) + ext{cos}^2( heta) = 1$</p> Signup and view all the answers

    Study Notes

    Trigonometric Functions

    • The tangent of 45 degrees is equal to 1.
    • The reciprocal of the tangent of an angle is equal to the cotangent of that angle. Therefore, if the tangent of an angle is 3/4, the cotangent of that angle is 4/3.
    • The sine of the sum of two angles is equal to the sine of the first angle multiplied by the cosine of the second angle plus the cosine of the first angle multiplied by the sine of the second angle.
    • The Pythagorean identity states that the square of the sine of an angle plus the square of the cosine of that angle is equal to 1 (sin² θ + cos² θ = 1).

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    Description

    Test your understanding of basic trigonometric concepts in this quiz. You'll explore values of functions, identities, and angle relationships. Perfect for students looking to reinforce their knowledge in trigonometry.

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