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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 period of y = tan x?

    Answer: 180°

    The tangent function repeats every 180° (π radians), so its period is 180°.

  2. Express 150° in radians.

    Answer: 5π/6

    Multiplying by π/180°: 150° × (π/180°) = 150π/180 = 5π/6.

  3. Which of the following is the correct double angle formula for sin(2θ)?

    Answer: 2sin θ cos θ

    sin(2θ) = 2sin θ cos θ is the standard double angle identity for sine.

  4. Find the smallest positive angle satisfying tan θ = √3.

    Answer: 60°

    tan 60° = √3; the smallest positive angle is 60°.

  5. The vertical asymptotes of y = tan x occur at x =

    Answer: 90° + n × 180°, n ∈ ℤ

    Tan x is undefined where cos x = 0, i.e., at x = 90° + n × 180°.

  6. Simplify: sin(90° − θ)

    Answer: cos θ

    The co-function identity states sin(90° − θ) = cos θ.

  7. A ladder 10 m long leans against a wall making an angle of 60° with the ground. How high up the wall does it reach?

    Answer: 5√3 m

    sin 60° = height/10 → height = 10 × (√3/2) = 5√3 m.