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Arithmetic Aptitude :: Trigonometry

Trigonometry - Section-1
  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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  2.  Evaluate arc cot [2cos (arc sin 0.5)]

    3. A.

    30°
    B.

    45°
    C.

    60°
    D.

    90°

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

    4. A.

    0.149
    B.

    0.281
    C.

    0.316
    D.

    0.421

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

    5. A.

    1.20
    B.

    1.25
    C.

    1.34
    D.

    1.5

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

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

    7. A.

    0
    B.

    1
    C.

    sin A
    D.

    cos A

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

    8. A.

    sin θ
    B.

    cos θ
    C.

    tan θ
    D.

    cot θ

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

    9. A.

    32.47°
    B.

    33.68°
    C.

    34.12°
    D.

    35.21°

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

    10. A.

    0.256
    B.

    0.265
    C.

    0.562
    D.

    0.625

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

    11. A.

    30°
    B.

    45°
    C.

    60°
    D.

    90°

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