Eliminate `theta` between the equations:
`p sec theta + q tan theta = x, p tan theta + q sec theta = y`

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

Eliminate A between the equation : p sec A+q tanA= x, p tan A+ q sec A=y .

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

If p and q are respectively the perpendiculars from the origin upon the striaght lines, whose equations are x sec theta + y cosec theta =a and x cos theta -y sin theta = a cos 2 theta , then 4p^(2) + q^(2) is equal to

(cosec theta -sin theta ) (sec theta - cos theta ) (tan theta + cot theta ) = 1.

Solve sqrt(2) sec theta+tan theta=1 .