plot the curve |y| = |sinx + 1/2|

plot the curve y=[x]^(2)

The angle between the curves y = sinx and y = cosx is

The angle between the curves y = sinx and y = cos x is

Does there exists line/lines which is/are tangent to the curve y=sinx \ a t(x_1, y_1) and normal to the curve at (x_2, y_2)?

Does there exists line/lines which is/are tangent to the curve y=sinx at (x_1, y_1) and normal to the curve at (x_2, y_2)?

Does there exists line/lines which is/are tangent to the curve y=sinx \ a t(x_1, y_1) and normal to the curve at (x_2, y_2)?

The equation of tangent to the curve y=2 sinx at x=pi/4 is

The equation of the normal to the curve y=sinx at (0, 0) is :