Eliminate `theta` between the equations:
`sec theta + tan theta = m, sec theta - tan theta = n`

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

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

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

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

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

Eliminate A between the equation : sec A+ tan A=m, sec A- tanA =n .

Solve tan theta + tan 2 theta + tan theta * tan 2 theta * tan 3 theta=1

If 5 sin theta = 3 , find the value of (sec theta -tan theta)/ (sec theta +tan theta) .

tan theta + 2 tan 2 theta + 4 tan 4 theta + 8 cot 8 theta = cot 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)