[sec theta+san theta=m],[" show ohat "(m^(2)-5)/(m^(2)+1)=sin theta]

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 cos theta-sin theta=m and cos theta+sin theta=n then prove that (m^2-n^2)/(m^2+n^2)=-2sin theta cos theta

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

If cos ec theta - sin theta = m and sec theta - cos theta = n, then show that (m ^(2) n ) ^(2//3) + (mn ^(2)) ^( 2//3) = 1.

If sin theta + cos theta = m, show that cos^(6)theta + sin^(6)theta = (4 - 3(m^(2) - 1)^(2))/(4) where m^(2) le 2 .

If tan theta+sin theta=m and tan theta-sin theta=n show that m^(2)-n^(2)=4sqrt(nm)

If cosec theta- sin theta = m and sec theta - cos theta = n , prove that: (m^(2)n)^(2/3)+(n^(2)m)^(2/3)=1 .

If cos ec theta-sin theta=I and sec theta-cos theta=m then prove that I^(2)m^(2)(I^(2)+m^(2)+3)=1

If cos theta gt 0, tan theta + sin theta =m and tan theta -sin theta =n, then show that m^(2)-n ^(2)=4sqrtmn