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Arithmetic Aptitude :: Trigonometry

  1.  Arc tan [2 cos (arc sin [(3^(1/2))/2]) / 2]) is equal to

  2. A.

    π/2

    B.

    π/3

    C.

    π/4

    D.

    π/16

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  3.  Evaluate arc cot [2cos (arc sin 0.5)]

  4. A.

    30°

    B.

    45°

    C.

    60°

    D.

    90°

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  5.  Solve for x in the given equation: Arc tan (2x) + arc tan (x) = π/4

  6. A.

    0.149

    B.

    0.281

    C.

    0.316

    D.

    0.421

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  7.  Solve for x in the equation: arc tan (x + 1) + arc tan (x – 1) = arc tan (12)

  8. A.

    1.20

    B.

    1.25

    C.

    1.34

    D.

    1.5

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  9.  Solve for A for the given equation cos 2A = 1 – cos 2A

  10. A.

    45, 125, 225, 315 degrees

    B.

    45, 125, 225, 335 degrees

    C.

    45, 135, 225, 315 degrees

    D.

    45, 150, 220, 315 degrees

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  11.  Simplify the following: [(cos A + cos B)/(sin A – sin B)] + [(sin A + sin B)/(cos A – cos B)]

  12. A.

    0

    B.

    1

    C.

    sin A

    D.

    cos A

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  13.  Evaluate: (2sinθcosθ-cosθ)/(1 – sin θ+ sin^2θ – cos^2θ)

  14. A.

    sin θ

    B.

    cos θ

    C.

    tan θ

    D.

    cot θ

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  15.  Solve for the value of A° when sin A = 3.5 x and cos A = 5.5 x

  16. A.

    32.47°

    B.

    33.68°

    C.

    34.12°

    D.

    35.21°

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  17.  If sin A = 2.511x, cos A = 3.06x and sin 2A = 3.39x, find the value of x?

  18. A.

    0.256

    B.

    0.265

    C.

    0.562

    D.

    0.625

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  19.  If conversed sin θ= 0.134, find the value of θ

  20. A.

    30°

    B.

    45°

    C.

    60°

    D.

    90°

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