What is the distance travelled by a point during the time, if it movesjn-xi-ÿplane, according to tiie relation `x = a sin cof and y = a (1 - cos omegat)`?

Find dy/dx : x = a(t-sin t), y = a (1-cos t)

What is the derivative of cos^(-1) (sin x) with respect to x?

Form the differential equation from the given relation : y = A sin x + B cos x + x sin x

Find the distance between the line 12x-5y+9=0 and the point (2,1).

If the distance between the point A(2,-2) and B(-1,x) is 5 then what is the value of x?

Find the slope of the normal to the curve x = 1 - a sin theta , y = b cos^2 theta at theta = pi/2

Find the derivative of : y = cos{2 sin^-1(cos x)}

A particle moves along a straight line according to x = Pt^2 + 2qt + r where x is the distance travelled in time t and p, q and r are constants. Find an expression for the acceleration of the particle.

What is the derivative of sin^(-1) x with respect to cos^(-1) sqrt((1-x^(2)) ?