3.5 The unit circle and exact values

3.5 The unit circle and exact values Quiz

IB Maths: Analysis and Approaches HL: Quiz

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5 questions, one answer each

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  1. 1. Find the exact value of cos⁡5π6\cos\frac{5\pi}{6}.

    • A. 32\frac{\sqrt3}{2}
    • B. −32-\frac{\sqrt3}{2}
    • C. −12-\frac12
    • D. 12\frac12

  2. 2. Find the exact value of tan⁡7π4\tan\frac{7\pi}{4}.

    • A. 11
    • B. 3\sqrt3
    • C. −1-1
    • D. −13-\frac{1}{\sqrt3}

  3. 3. Given sin⁡x=0.3\sin x=0.3, find sin⁡(π+x)\sin(\pi+x).

    • A. 0.30.3
    • B. −0.3-0.3
    • C. 0.70.7
    • D. −0.7-0.7

  4. 4. Find the equation of the line through the origin at π4\frac{\pi}{4} to the positive xx-axis.

    • A. y=22xy=\frac{\sqrt2}{2}x
    • B. y=−xy=-x
    • C. y=2xy=\sqrt2x
    • D. y=xy=x

  5. 5. In triangle PQRPQR, PQ=8PQ=8, PR=5PR=5 and Q=30∘Q=30^\circ. How many triangles are possible?

    • A. None
    • B. One
    • C. Two
    • D. Infinitely many

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