Eliminate `theta` between the equation :
`x =a sec^3 theta, y = b tan^3 theta`.

Eliminate theta between the equation : x =a sec theta, y= b tan theta .

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

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

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

If x and y are connected parametrically by the equations given in Exercises 1 to 10, without eliminating the parameter, Find dy/dx : x = a sec theta, y = b tan theta

Find dy/dx , if x and y are connected parametrically by the equations (without eliminating the parameter). x = a sec theta, y = b tan theta .

Find (dy)/(dx) in the following x = a sec theta, y = b tan theta .

Find the number of roots of the equation 16 sec^(3) theta - 12 tan^(2) theta - 4 sec theta =9 in interval (-pi,pi)

If x and y are connected parametrically by the equation , without eliminating parameter , find dy/dx x = a sec(theta) , y = b tan(theta)

Solve the following trigonometric equation : tan 2 theta tan 3 theta=1 .