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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)`

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The angle made by the tangent of the curve x=a(t+sin t cos 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)

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:

x=a (t-sin t) , y =a (1-cos t)

Find the equation of the tangent to the curve x=sin3t , y=cos2t at t=pi/4 .

The slope of the tangent to the curve x=2 sin ^(3) t, y=3 cos ^(3) t " at " t= (pi)/(4) is

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x = a (cos t + sin t), y = a (sin t-cos t)

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