Find the values of `theta` and p, if the equation `x cos theta+ y sin theta = p` is the normal form of the line `sqrt3x + y+2=0`.

Find the values of theta and p, if the equation x cos theta + y sin theta = p is the normal form of the line sqrt3 x+y + 2 = 0 .

Eliminate theta between the equation : x =a cos theta + b sin theta, y =a sin theta- b cos theta .

Find the value of theta (0^@ le theta le 90^@) satisfying : 2 sin^2 theta= 3 cos theta .

Eliminate theta between the equation : x= h+a cos theta, y=k+ b sin theta .

Determine the range of values of 0 in [ 0,2 pi] for which (cos theta ,sin theta ) lies inside the triangle formed by the lines x+y-2=0, x - y - 1 = 0 and 6x + 2y - sqrt(10) = 0

Find all the values of theta for which the point (sin^2theta,sintheta) lies inside the square formed by the line x y=0 and 4x y-2x-2y+1=0.

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

Find the equation of the tangent line to the curve x = theta + sin theta, y = 1 + cos theta at theta = pi/4

Eliminate theta between the equation : x = sin theta + cos theta, y = sin theta-cos theta .

Find the equations of the tangent and the normal to the curve x = 1 - cos theta, y = theta - sin theta at theta = pi/4