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Arithmetic Aptitude :: Trigonometry

  1.  Find the value of A between 270° and 360° if sin^2 A – sin A = 1

  2. A.

    300°

    B.

    310°

    C.

    320°

    D.

    330°


  3.  If cos 65° + cos 55° = cos θ, find θ in radians

  4. A.

    0.087

    B.

    0.765

    C.

    1.213

    D.

    1.421


  5.  Find the value of sin (arc cos15/17)

  6. A.

    8/11

    B.

    8/15

    C.

    8/17

    D.

    8/19


  7.  The sine of a certain angle is 0.6, calculate the cotangent of the angle.

  8. A.

    3/4

    B.

    4/3

    C.

    4/5

    D.

    5/4


  9.  If sec 2A =1/sin13A, determine the angle A in degrees.

  10. A.

    B.

    C.

    D.


  11.  If tan x =1/2, tan y = 1/3, what is the value of tan (x + y)?

  12. A.

    1

    B.

    2

    C.

    1/2

    D.

    1/6


  13.  Find the value of y in the given: y = (1 + cos θ) tan θ

  14. A.

    sin θ

    B.

    cos θ

    C.

    sin 2θ

    D.

    cos 2θ


  15.  Find the value of (sin θ + cos θ tanθ)/cos θ

  16. A.

    2 sin θ

    B.

    2 tan θ

    C.

    2 cos θ

    D.

    2 cot θ


  17.  Simplify the equation sin^2θ(1 + cot^2θ)

  18. A.

    1

    B.

    sin^2θ

    C.

    sec^2θ

    D.

    sin^2θsec^2θ


  19.  Simplify the expression sec θ – (sec θ)sin^2θ

  20. A.

    sin θ

    B.

    cos θ

    C.

    cos^2θ

    D.

    sin^2θ