If y = x (a + y), then dy dx = - Vidyadip

MCQ

If $\sin y = x\cos (a + y),$ then ${{dy} \over {dx}} = $

✓
${{{{\cos }^2}(a + y)} \over {\cos a}}$
B
${{\cos (a + y)} \over {{{\cos }^2}a}}$
C
${{{{\sin }^2}(a + y)} \over {\sin a}}$
D
None of these

✓

Answer

Correct option: A.

${{{{\cos }^2}(a + y)} \over {\cos a}}$

a
(a) $x = \frac{{\sin y}}{{\cos (a + y)}}$.

Find $\frac{{dx}}{{dy}}$ and then $\frac{{dy}}{{dx}}$.

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