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NDA - Trigonometric Equations Test 966
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NDA - Trigonometric Equations Test 966
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  • Question 1/5
    1 / -0.33
    If and , then
    Solutions

    After solving,

  • Question 2/5
    1 / -0.33
    tan–1x + cot–1x =  holds, when
    Solutions

     is defined for all real value of x and  is also defined for all real value of x so, tan–1x + cot–1x =  is defined for all real value of x.

  • Question 3/5
    1 / -0.33
    The number of integer values of k, for which the equation 2 sin x = 2k +1 has a solution, is
    Solutions

  • Question 4/5
    1 / -0.33
    Number of real roots of the equation  lying between 0 and is
    Solutions

    secθ + cosecθ=,

    sinθ + cosθ= sinθcosθ

    on squaring, we have

    1 + sin2θ = 15 sin2θcos2θ

    1+sin2θ=(15/4)sin22θ

    15sin2 2θ– 4 sin2θ–4 = 0

    sin2θ=(-2/5 , 2/3)

    Since 0 < θ < 0 < 2θ < 2

  • Question 5/5
    1 / -0.33
    If  and  then
    Solutions

    a = 4, b = -8, c =4

    a + b + c = 0

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