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NBT Mathematics: Trigonometry Flashcards

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

Read the first 7 NBT Mathematics: Trigonometry flashcards as text

  1. What is the value of tan 45°?

    Answer: 1

    At 45°, sin 45° = cos 45° = 1/√2, so tan 45° = sin/cos = 1.

  2. The amplitude of y = 3sin(x) is:

    Answer: 3

    The amplitude of y = A sin(x) is |A|; here A = 3, so the amplitude is 3.

  3. If cos θ = −√3/2 and 180° < θ < 270°, what is θ?

    Answer: 210°

    cos 30° = √3/2, so the reference angle is 30°; in Quadrant III, θ = 180° + 30° = 210°.

  4. Which identity is correct?

    Answer: 1 + cot²θ = cosec²θ

    The identity 1 + cot²θ = cosec²θ is derived from dividing sin²θ + cos²θ = 1 by sin²θ.

  5. On the unit circle, the point (0, −1) corresponds to which angle?

    Answer: 270°

    The point (0, −1) on the unit circle corresponds to 270° (or 3π/2 radians).

  6. What is the general solution of sin θ = 0?

    Answer: θ = n × 180°, n ∈ ℤ

    sin θ = 0 at every multiple of 180° (i.e., 0°, 180°, 360°, …), so θ = n × 180°.

  7. In triangle PQR, PQ = 7 cm, QR = 24 cm, and angle Q = 90°. Find tan P.

    Answer: 24/7

    tan P = opposite/adjacent = QR/PQ = 24/7.