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College Algebra and Trigonometry Flashcards

6 cards from real COMPASS 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 Pythagorean identity in trigonometry?

    Answer: sin²θ + cos²θ = 1

    The fundamental Pythagorean identity is sin²θ + cos²θ = 1, derived from the unit circle.

  2. Find the zeros of f(x) = x³ − x

    Answer: x = 0, 1, −1

    Factor: x(x² − 1) = x(x − 1)(x + 1) = 0, giving x = 0, 1, −1.

  3. What is the amplitude of y = 4sin(x)?

    Answer: 4

    The amplitude of y = A sin(x) is |A|, which equals 4.

  4. Solve: 2^(x+1) = 16

    Answer: 3

    16 = 2⁴, so 2^(x+1) = 2⁴ means x + 1 = 4, giving x = 3.

  5. Which transformation shifts y = f(x) up by 3 units?

    Answer: y = f(x) + 3

    Adding a constant outside the function shifts the graph vertically upward.

  6. What is cos(0°)?

    Answer: 1

    On the unit circle, the point at 0° is (1, 0), so cos(0°) = 1.