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

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 =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= h+a cos theta, y=k+ b sin theta .

Solve the equation (1-tantheta)(1+sin2theta)=1+tantheta

Prove that : tan^2 theta -sin^2 theta =tan^2 theta sin^2 theta .

The method of eliminating 'theta' from two given equations involving trigonometrical functions of 'theta' . By using given equations involving 'theta' and trigonometrical identities, we shall obtain an equation not involving 'theta' . On the basis of above information answer the following questions. If tan theta + sin theta=m and tan theta - sin theta=n , then (m^(2)-n^(2))^(2) is

Solve the equation : sin theta+sin 3 theta+ sin 5 theta =0 .

Prove that tan^2theta-sin^2theta=tan^2thetasin^2theta .