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If y = 2/(sqrt(a^2 - b^2)) "tan"^(-1) (...

If `y = 2/(sqrt(a^2 - b^2)) "tan"^(-1) (sqrt((a + b)/(a - b)) " tan " x/2)`, prove that `(dy)/(dx) = 1/(a - b cos x)`

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The correct Answer is:
`1/(a - b cos x)`
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