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Direction: Study the following questions carefully and choose the right answer:

  • 1.
    For any real values of 
    sec Θ – 1
    sec Θ + 1
     = ?

    A. cot Θ – cosec Θ B. sec Θ – tan Θ
    C. cosec Θ – cot Θ D. tan Θ – sec Θ

  • 2.
    In a ΔABC, ∠B =   π , ∠C =   π  and D divides BC internally in the ratio 1 : 3 then   sin ∠BAD  is equal to
    3 4 sin ∠CAD

    A.
    1
    2

    B.
    1
    3

    C.
    1
    6

    D.
    6


  • 3.
    If sin 3A = cos (A – 26°), where 3A is an acute angle then the value of A is
    A. 29° B. 26°
    C. 23° D. 28°

  • 4.
    Value of sec2 Θ –  sin2 Θ – 2 sin4 Θ  is
    2 cos4 Θ – cos2 Θ

    A. 1 B. 2
    C. – 1 D. 0

  • 5.
    If x = a (sin Θ + cos Θ), y = b (sin Θ – cos Θ) then the value of  x2  +  y2  is
    a2 b2

    A. 0 B. 1
    C. 2 D. – 2