Find the coordinates of the points of intersection of the curves `y=cosx , y=sin3x if-pi/2lt=xlt=pi/2`

The point of intersection of the curves y^(2) = 4x and the line y = x is

Find the angle of intersection of the curve y=sin x with the positive x-axis .

Determine the intervals of concavity of the curve y=2 + sin x " in " (-pi, pi)

Find the locus of the point of intersection of the perpendicular tangents of the curve y^2+4y-6x-2=0 .

Find the tangent and normal to the following curves at the givne points on the curve. y=xsinx" at "(pi/2,pi/2)

Find the area of the region bounded by x-axis, the curve y=|cosx| , the lines x=0 and x=pi .

Find the tangent and normal to the following curves at the given points on the curve. y= x sin x " at " ((pi)/(2), (pi)/(2))

The angle between the lines joining origin to the points of intersection of the line sqrt(3)x+y=2 and the curve y^2-x^2=4 is (A) tan^(-1)(2/(sqrt(3))) (B) pi/6 (C) tan^(-1)((sqrt(3))/2) (D) pi/2

Find the tangent and normal to the following curves at the given points on the curve. x = cos t, y = 2 sin^(2) t " at" t= (pi)/(3)