(m+2)sin theta+(2m-1)cos theta=2m+1

if (2m+1)sin theta=2m(m+1)cos theta, then sin theta=

If tan theta=(m)/(n) , show that (m sin theta-n cos theta)/(m sin theta+n cos theta)=(m^(2)-n^(2))/(m^(2)+n^(2))

Find the A.M. between: ( cos theta + sin theta )^(2) and ( cos theta - sin theta)^(2)

If tan theta=(m)/(n) then (m sin theta+n cos theta)/(m sin theta-n cos theta) =

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

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

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 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 a cos theta+b sin theta=m and a sin theta-b cos theta=n, Prove that a^(2)+b^(2)=m^(2)+n^(2)