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Trigonometric Functions on Right Triangles quiz

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  • What does the mnemonic SOHCAHTOA help you remember in trigonometry?
    SOHCAHTOA helps you remember that sine is opposite over hypotenuse, cosine is adjacent over hypotenuse, and tangent is opposite over adjacent.
  • How do you find the sine of an angle in a right triangle?
    You divide the length of the side opposite the angle by the length of the hypotenuse.
  • What is the formula for the cosine of an angle in a right triangle?
    Cosine is the length of the adjacent side divided by the length of the hypotenuse.
  • How is the tangent of an angle in a right triangle calculated?
    Tangent is the length of the side opposite the angle divided by the length of the adjacent side.
  • What is the relationship between tangent, sine, and cosine?
    Tangent of an angle equals the sine of the angle divided by the cosine of the angle.
  • What are the reciprocal trigonometric functions and their relationships?
    Cosecant is the reciprocal of sine, secant is the reciprocal of cosine, and cotangent is the reciprocal of tangent.
  • How do you find the cosecant of an angle in a right triangle?
    Cosecant is the hypotenuse divided by the side opposite the angle.
  • What is the formula for the secant of an angle in a right triangle?
    Secant is the hypotenuse divided by the side adjacent to the angle.
  • How is cotangent of an angle defined in terms of triangle sides?
    Cotangent is the length of the adjacent side divided by the length of the opposite side.
  • What is an inverse trigonometric function used for?
    An inverse trigonometric function is used to find the angle when you know the value of a trigonometric ratio.
  • What is another name for inverse trigonometric functions?
    Inverse trigonometric functions are also called arc functions, such as arcsine or arctangent.
  • How do you isolate an angle using a trigonometric equation like sin(θ) = 6/13?
    You take the inverse sine of both sides, so θ = sin⁻¹(6/13).
  • What must you check on your calculator before evaluating a trigonometric function?
    You must check that your calculator is in the correct mode: degrees for degree problems and radians for radian problems.
  • How do you calculate secant or cosecant on a calculator if there is no direct button?
    You use the reciprocal identity: secant is 1 divided by cosine, and cosecant is 1 divided by sine.
  • How do you access an inverse trigonometric function on a calculator?
    You press the 'second' button and then the corresponding trig function button to access the inverse function.