" 13.If "sin theta=(a)/(b+c)," then "S.T.cos theta=(2sqrt(ab))/(b+c)*cos(A)/(2)

If sin theta = a/(b+c) then show that cos theta = (2sqrt(bc))/(b+c) cos ((A)/(2))

If a=(b+c)cos theta then show that sin theta=(2sqrt(bc))/(b+c)cos((A)/(2))

If a cos theta-b sin theta=c, then a sin theta+b cos theta=+-sqrt(a^(2)+b^(2)+c^(2))(b)+-sqrt(a^(2)+b^(2)-c^(2))(c)+-sqrt(c^(2)-a^(2)-b^(2))(d) None of these

If a cos theta+b sin theta=c , show that asin theta-bcos theta=pm sqrt((a)^(2)+(b)^(2)-(c)^(2))

If cos theta + sin theta = sqrt(2) cos theta then S.T cos theta - sin theta = sqrt(2) sin theta

If tan theta=(a)/(b), prove that (a sin theta-b cos theta)/(a sin theta+b cos theta)=(a^(2)-b^(2))/(a^(2)+b^(2))

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

If a cos theta-b sin theta=c, show that a sin theta+b cos theta=+-sqrt(a^(2)+b^(2)+c^(2))

If a cos theta-b sin theta=c, show that a sin theta+b cos theta=+-sqrt(a^(2)+b^(2)-c^(2))