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 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

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 angle made by the tangent to the curve x=a(theta + sin theta cos theta),y=a(1+ sin theta)^(2) wutg X-axis is

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

The length of the subtangent at t on the curve x=a(t+sint),y=a(1-cost) is

Slope of the normal to the curve x=a(t+sint),y=a(t-sint) is

Angle made by the tangent to the curve y=x^(2)+4x-17 at (2,-5) , with the X-axis , is

The length of tangent to the curve x=a(cost+log tan.(t)/(2)),y=a(sint), is