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

Angle of intersection of the curves y = 4-x^(2) and y = x^(2) is

Find the points of intersection of the line 2x+3y=18 and the circle x^(2)+y^(2)=25 .

The angle of intersection of the curves x^(2)+y^(2)=8 and x^(2)=2y at the point (2, 2) is

Find the equation of tangents to the curve y = cos(x + y), – 2pi lt= x lt= 2pi that are parallel to the line x + 2y = 0.

The area of the figure bounded by the curves y=cosx and y=sinx and the coordinates x=0 and x= pi//4 is

Find the area bounded by the curve y=cos x between x=0- and x=2pi

Find the slope of the normal to the curve x = a cos^(3)theta, y = a sin^(3) theta at theta = (pi)/3 .

Find the slope of the normal to the curve x=a cos^(3) theta,y=a sin^(3) theta at theta=(pi)/(4) .

Locus of the point of intersection of the tangents at the points with eccentric angles phi and (pi)/(2) - phi on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 is