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12th Standard English Medium Maths Subject Inverse Trigonometric Functions Book Back 3 Mark Questions with Solution Part - II

12th Standard

    Reg.No. :
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Maths

Time : 01:00:00 Hrs
Total Marks : 15

    3 Marks

    5 x 3 = 15
  1. If cos−1 x + cos−1 y + cos−1  z = \(\pi \) and 0 < x, y, z < 1, show that x2 + y+ z+ 2xyz = 1 

  2. Solve sin-1 x > cos-1x

  3. Solve tan-1 2x + tan-1 3x = \(\frac{\pi}{4}\), if 6x< 1

  4. Find the value of the expression in terms of x, with the help of a reference triangle.
     sin(cos−1(1-x))

  5. Find the domain of the following
    g(x) = 2sin−1(2x−1)−\(\frac{\pi}{4}\)

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