Practice Test Geeks(MPT) UCF Math Placement Test Practice Test
← All MPT Flashcard Decks

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.

Read the first 7 Trigonometry flashcards as text

  1. What is the phase shift of y = sin(x - π/4)?

    Answer: π/4 to the right

    y = sin(x - π/4) has a phase shift of π/4 to the right.

  2. Which of the following equals sin(2θ)?

    Answer: 2sin(θ)cos(θ)

    The double-angle identity states sin(2θ) = 2sin(θ)cos(θ).

  3. If tan(θ) = 3/4 and θ is in the first quadrant, what is sin(θ)?

    Answer: 3/5

    In a 3-4-5 right triangle, sin(θ) = opposite/hypotenuse = 3/5.

  4. What is the vertical shift of y = 2sin(x) + 3?

    Answer: 3 units up

    The constant +3 outside the trig function shifts the graph 3 units up.

  5. Evaluate: cos(α + β) if cos(α) = 3/5, sin(α) = 4/5, cos(β) = 5/13, sin(β) = 12/13.

    Answer: 56/65

    cos(α+β) = cos(α)cos(β) - sin(α)sin(β) = (3/5)(5/13) - (4/5)(12/13) = 15/65 - 48/65 = -33/65.

  6. What is the domain of y = arccos(x)?

    Answer: [-1, 1]

    The domain of arccos(x) is [-1, 1] because cosine only outputs values in that interval.

  7. Which quadrant contains the angle whose terminal side gives sin(θ) 0?

    Answer: Quadrant IV

    Sine is negative and cosine is positive only in Quadrant IV.