" 8.19If Sece t treue "=m" ,show that "((m^(2)-1)/(m^(2)+1))=sin8

If sec theta + tan theta = m, show that ((m^(2) -1))/((m^(2) +1)) = sin theta .

If sec theta + tan theta = m, show that ((m^(2) -1))/((m^(2) +1)) = sin theta .

If cosec A + cot A =m , show that (m^(2) -1)/(m^(2)+1) = cos A .

If sectheta + tantheta = m, show that : sin theta = (m^(2) - 1 )/(m^(2) + 1)

If tan A = n tan B and sin A = m sin B , show that cos^(2)A= (m^(2)-1)/(n^(2)-1) .

The distance between two particles of masses m_(1)andm_(2) is r. If the distance of these particles from the centre of mass of the system are r_(1)andr_(2) respectively, then show that r_(1)=r((m_(2))/(m_(1)+m_(2)))andr_(2)=r((m_(1))/(m_(1)+m_(2)))

If y=cos(m sin^(-1)x), show that (1-x^(2))y_(2)-xy_(1)+m^(2)y=0

Sin A=m sin B,show that , tan((A-B)/2)=(m-1)/(m+1)tan((A+B)/2)

Show that the distance between (1,1) and ((2m^(2))/(1+m^(2)) , ((1-m)^(2))/(1+m^(2))) is independent of m.

For an A.P, show that t_(m)+t_(2n)+m=2t_(m+n)