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

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

The tangent to the curve given by: x=e^t cos t,y =e^t sin t at t = pi/4 makes with x-axis an angle

The angle made by the tangent of the curve x = a (t + sint cost) , y = a (1+sint)^(2) with the x-axis at any point on it is

The angle made by any tangent to the curve x=a(t+sintcost) , y=(1+sint)^2 with x -axis is:

The angle made by any tangent to the curve x=a(t+sin t cos t),y=(1+sin t)^(2) with x- axis is:

The angle made by the tangent with the + ve direction of X-axis to x=e^(t)cos t, y = e^(t)sin t at t=(pi)/(4) is ……….

The equation of the tangent to the curve x=tcost,y=tsint at the origin is _________