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If the slope of the tangent to the curve at any point \(\ P(x, y) \) is \(\ \frac{y}{x}-\cos ^2 \frac{y}{x} \), then the…

Q1

If the slope of the tangent to the curve at any point \(\ P(x, y) \) is \(\ \frac{y}{x}-\cos ^2 \frac{y}{x} \), then the equation of a curve passing through \(\ \left(1, \frac{\pi}{4}\right) \) is

a

\(\ \tan \left(\frac{y}{x}\right)+\log x=1\)

b

\(\ \tan \left(\frac{y}{x}\right)+\log y=1 \)

c

\(\ \tan \left(\frac{x}{y}\right)+\log x=1 \)

d

\(\ \tan \left(\frac{x}{y}\right)+\log y=1 \)

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