Practice Test GeeksAMC12 - American Mathematics Competition 12 Practice Test
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Trigonometry & Precalculus Flashcards

6 cards from real AMC12 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 sin(30) + cos(60)?

    Answer: 1

    sin(30)=1/2 and cos(60)=1/2, so their sum is 1.

  2. In a right triangle, tan(theta)=3/4. What is sin(theta)?

    Answer: 3/5

    Opposite=3, adjacent=4, hypotenuse=5, so sin(theta)=3/5.

  3. What is the period of f(x) = sin(3x)?

    Answer: 2pi/3

    The period is 2pi/|b|=2pi/3.

  4. What is cos(135 degrees)?

    Answer: -sqrt(2)/2

    135 is in Q2 where cosine is negative; cos(135)=-cos(45)=-sqrt(2)/2.

  5. If sin(x)=0.6 with x in the first quadrant, what is tan(x)?

    Answer: 3/4

    cos(x)=sqrt(1-0.36)=0.8, so tan(x)=0.6/0.8=3/4.

  6. What is the amplitude of y = -3sin(2x)?

    Answer: 3

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