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Trigonometry Flashcards

7 cards from real MPT practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

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  1. What is the amplitude of y = -3cos(x)?

    Answer: 3

    Amplitude is the absolute value of the leading coefficient: |-3| = 3.

  2. If sin(θ) = -√3/2 and θ is in the third quadrant, what is θ?

    Answer: 4π/3

    sin(60°) = √3/2, and in the third quadrant: π + π/3 = 4π/3.

  3. Simplify: (1 - cos²θ) / sin(θ) for sin(θ) ≠ 0.

    Answer: sin(θ)

    1 - cos²θ = sin²θ by the Pythagorean identity, so sin²θ/sinθ = sinθ.

  4. What is the reference angle for 210°?

    Answer: 30°

    210° is in the third quadrant; 210° - 180° = 30° is the reference angle.

  5. What is the range of the function y = arcsin(x)?

    Answer: [-π/2, π/2]

    The range of arcsin (inverse sine) is [-π/2, π/2] by definition.

  6. Using the Law of Cosines, if a=5, b=7, and C=60°, what is c²?

    Answer: 39

    c² = 25 + 49 - 2(5)(7)cos(60°) = 74 - 70(0.5) = 74 - 35 = 39.

  7. What is the exact value of cos(π/6)?

    Answer: √3/2

    cos(π/6) = cos(30°) = √3/2.