If a curve is represented parametrically by x=sin(t+7π12)+sin(t−π1 – InterviewSolution

1.	If a curve is represented parametrically by x=sin(t+7π12)+sin(t−π12)+sin(t+3π12), y=cos(t+7π12)+cos(t−π12)+cos(t+3π12), then the value of ddt(xy−yx) at t=π8 is
Answer» If a curve is represented parametrically by $x = sin (t + \frac{7 π}{12}) + sin (t - \frac{π}{12}) + sin (t + \frac{3 π}{12}),$ $y = cos (t + \frac{7 π}{12}) + cos (t - \frac{π}{12}) + cos (t + \frac{3 π}{12})$ , then the value of $\frac{d}{d t} (\frac{x}{y} - \frac{y}{x})$ at $t = \frac{π}{8}$ is

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