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Consider y=tan^-1sqrt((1+sinx)/(1-sinx))...

Consider `y=tan^-1sqrt((1+sinx)/(1-sinx))` . Hence prove that `y=pi/4+x/2`.

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Knowledge Check

  • Consider f(x) = tan^(-1) (sqrt((1 + sin x)/(1 - sin x))), x in (0, (pi)/(2)) . A normal to y = f(x) at x = (pi)/(6) also passes through through the point

    A
    `(0, (2pi)/(3))`
    B
    `((pi)/(6), 0)`
    C
    `((pi)/(4), 0)`
    D
    (0, 0)

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