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If sin^2 x + cos^2y = 2 sec^2z, then x, ...

If `sin^2 x + cos^2y = 2 sec^2z`, then x, y , z are ………….

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Knowledge Check

  • If x = a sec theta cos phi, y = b sec theta sin phi, z = c tan theta , then, the value of x^2 /a^2 + y^2/b^2 -z^2/c^2 is :

    A
    1
    B
    4
    C
    9
    D
    0
  • If sin^(-1)x +cos^(-1)y +sin^(-1)z=2pi then 2x-z+y is :

    A
    4
    B
    2
    C
    0
    D
    3
  • If x = a sec theta cos phi, y = b sec thetasin phi and z = c tan theta , then the value of x^2/a^2 + y^2/b^2 -z^2 /c^2 is

    A
    9
    B
    0
    C
    1
    D
    4
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    8x + y + 2z = 4x + 2y + z = 1x + y + z = 2

    If sin x + sin y + sin z = 0 and cos x + cos y + cos z = 0 then prove that cot (x+y)/2 = cot z and cos (x-y)/2 = pm 1/2

    If x + y = z then cos ^ (2) x + cos ^ (2) y + cos ^ (2) z-2cos x cos y cos z =