find the the angle between the curves`r=a(1-sintheta)," "" "" "r=a(1+sintheta)`

Find the slopes of the tangent and the normal to the curve x=a(theta-sintheta) , y=a(1+costheta) at theta=-pi//2

Find the slopes of the tangent and the normal to the curve x=a(theta-sintheta),\ \ y=a(1-costheta) at theta=pi//2

If theta lies in the second quadrant, then the value sqrt(((1-sintheta)/(1+sintheta)))+sqrt(((1+sintheta)/(1-sintheta)))

Find the equation of the tangent to the curve x=theta+sintheta , y=1+costheta at theta=pi//4 .

Find the equation of the tangent line to the curve x=1-costheta,\ y=theta-sintheta at theta=pi//4 .

Find the equations of the tangent and the normal to the curve x=a(theta+sintheta),\ \ y=a(1-costheta) at theta at indicated points.

Find the value of sqrt((1-sintheta)/(1+sintheta)) .

sqrt((1+sintheta)/(1-sintheta)) = __.

Evaluate costheta/(1+sintheta)

Find the equations of the tangent and the normal to the curve x=theta+sintheta , y=1+costheta at theta=pi//2 at indicated points.