The angle made by the tangent of the cur...

The angle made by the tangent of the curve `x=a(t+si n tcos t),y=a(1+sin t)^2` with the x-axis at any point on it is (A)`1/4(pi+2t)` (B) `(1-sin t)/(cos t)` (C) `1/4(2t-pi)` (D) `(1+sin t)/(cos2t)`

Similar Questions

Explore conceptually related problems

The slope of the tangent to the curve x= t^(2)+3t-8,y=2t^(2)-2t-5 at the point (2,-1) is

Find the equation of tangent and normal to the curve given by x = 7 cos t and y = 2 sin t, t in R at any point on the curve.

Find the equation of tangent to the curve given by x = a sin^(3) t , y = b cos^(3) t at a point where t = (pi)/(2) .

For the curve x = e^(t) cos t, y = e^(t) sin t the tangent line is parallel to x-axis when t is equal to

Find the equations of the tangent to the given curves at the indicated points: x= cos t , y =sin t at t = (pi)/(4)

If x =a ( cos t + t sin t), y = a [sin t-t cos t] then find dy/dx .

Find the slope of the tangent to the following curves at the respective given points. x = a cos^(3) t, y = b sin^(3) t " at " t = (pi)/(2)

Find the equation of tangent and normal to the curve x=(2a t^2)/((1+t^2)),y=(2a t^3)/((1+t^2)) at the point for which t=1/2dot