If `e^(theta phi) = c + 4 theta phi`,
show that `phi + theta (d phi)/(d theta) = 0`

inttan^3theta d theta

intcot^6theta d theta

inttan^5theta d theta

If sin theta +sin phi=a,cos theta+cos phi=b , show that sinfrac{theta+phi}{2}/{b}=cosfrac{theta+phi}{2}/{b}=2cosfrac{theta-phi}{2}/{a^2+b^2}

If sintheta+sinphi=a and costheta+cosphi=b then show that tan((theta+phi)/2)=a/b

Show that the equation of normal at any point on the curve x = 3 cos theta - cos^(3) theta, y = 3 sin theta - sin^(3) theta "is" 4 (y cos^(3) theta - x sin^(3) theta) = 3 sin 4 theta .

inttan^5theta sec^4theta d theta

Evaluate inttan^(4)theta d theta

intsec^11theta tantheta d theta