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Write the angle made by the tangent t...

Write the angle made by the tangent to the curve `x=e^tcott` , `y=e^tsint` at `t=pi/4` with the x-axis.

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Given,eqn of curve `x=e^tcost,y=e^tsint`
`(dx)/(dt)​=e^t[cost−sint]`
`(dy)/(dt)​ =e^t[cost+sint]`
...
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