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Basic Trigonometric Identities

If a function...

Question

If a function is given as $y = l n (s i n x)$ , then $\frac{d^{2} y}{d x^{2}}$ will be

A

c o s e c^{2} x

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B

- c o s e c^{2} x

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C

s e c^{2} x

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D

- c o s e c^{2} x c o t x

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Solution

The correct option is B $- c o s e c^{2} x$
$d y / d x = c o t x$
$\frac{d^{2} y}{d x^{2}} = - c o s e c^{2} x$

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