tangents are drawn to `x^2+y^2=a^2` at the points `A(acos theta, a sin theta)` and `B(a cos (theta +pi/3), a sin (theta +pi/3))` Locus of intersection of these tangents is

tangents are drawn to x^(2)+y^(2)=a^(2) at the points A(a cos theta,a sin theta) and B(a cos(theta+(pi)/(3)),a sin(theta+(pi)/(3))) Locus of intersection of these tangents is

The locus of the point ( a cos theta, b sin theta ) where 0 le theta lt 2 pi is

The locus of the point ( a cos ^3 theta, b sin ^ 3 theta ) where 0 le theta lt 2pi is

The locus of the point ( a cos theta + b sin theta, a sin theta - b cos theta ) where 0 le theta lt 2pi is

Find the equations of tangents and normals to the curve at the point on it: x = sin theta and y= cos 2theta at theta = (pi)/6

Find the slope of tangent to the curve x= sin theta and y = cos 2 theta " at " theta = (pi)/(6).

Distance between the points (a cos(theta+((2 pi)/(3))),a sin(theta+((2 pi)/(3)))) and (a cos(theta+((pi)/(3))),a sin(theta+((pi)/(3)))) is

Prove that: 4sin theta sin(theta+(pi)/(3))sin(theta+(2 pi)/(3))=sin3 theta

Prove that sin ^(2) theta + sin ^(2) (theta+(pi)/(3))+ sin ^(2) (theta-(pi)/(3))=(3)/(2)