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If `y = sqrt((1 + sinx)/(1 - sin x)) " then " (dy)/(dx) =` ?A. `(1)/(2) sec^(2)((pi)/(4) - (x)/2)`B. `(1)/(2) "cosec"^(2) ((pi)/(4) - (x)/(2))`C. `(1)/(2) "cosec"((pi)/(4) - (x)/(2)) cot ((pi)/(4) - (x)/(2))`D. none of these |
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Answer» Correct Answer - B `y = {(1 + cos ((pi)/(2) - x))/(1 - cos ((pi)/(2) -x))}^((1)/(2)) = {(2 cos^(2) ((pi)/(4) - (x)/(2)))/(2 sin^(2) ((pi)/(4) - (x)/(2)))}^((1)/(2)) = cot ((pi)/(4) - (x)/2)` |
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