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Reciprocal Trigonometric Functions on the Unit Circle quiz

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  • What are the three reciprocal trigonometric functions?
    The three reciprocal trigonometric functions are cosecant, secant, and cotangent.
  • How is the cosecant of an angle defined in terms of sine?
    Cosecant is defined as 1 divided by the sine of the angle.
  • How is the secant of an angle defined in terms of cosine?
    Secant is defined as 1 divided by the cosine of the angle.
  • How is the cotangent of an angle defined in terms of tangent?
    Cotangent is defined as 1 divided by the tangent of the angle.
  • On the unit circle, what coordinate corresponds to sine?
    On the unit circle, the y-coordinate corresponds to sine.
  • On the unit circle, what coordinate corresponds to cosine?
    On the unit circle, the x-coordinate corresponds to cosine.
  • How do you find the cosecant of an angle using the unit circle?
    You take 1 divided by the y-coordinate at that angle.
  • How do you find the secant of an angle using the unit circle?
    You take 1 divided by the x-coordinate at that angle.
  • How do you find the cotangent of an angle using the unit circle?
    You divide the x-coordinate by the y-coordinate at that angle.
  • What is the value of csc(π/6)?
    csc(π/6) equals 2.
  • What is the value of cot(π/4)?
    cot(π/4) equals 1.
  • What is the value of sec(0)?
    sec(0) equals 1.
  • If the sine of an angle is 1/2, what is its cosecant?
    The cosecant is 2, since 1 divided by 1/2 equals 2.
  • If the x and y values at an angle are equal, what is the cotangent?
    The cotangent is 1, because x divided by y is 1 when x and y are equal.
  • Why are reciprocal trig functions called 'reciprocal'?
    They are called reciprocal because each is the reciprocal (1 over) of a basic trig function.