Write the equation of the normal to the curve y = x + sin x cos x at

Write the coordinates of the point on the curve y² = x where the tangent line makes an angle with x-axis.

Write the angle made by the tangent to the curve x = e^t cos t, y = e^t sin t atwith the x-axis.

Find the coordinates of the point on the curve y² = 3 – 4x where tangent is parallel to the line 2x + y – 2 = 0.

Write the equation of the tangent to the curve y = x² – x + 2 at the point where it crosses the y-axis.