化简根号(1-sinQ/1+sinQ)+根号(1+cosQ/1-cosQ) (π/2<Q<π)
化简根号(1-sinQ/1+sinQ)+根号(1+cosQ/1-cosQ) (π/2<Q<π)
日期:2021-07-07 08:17:21 人气:1
根号(1-sinQ/1+sinQ)+根号(1+cosQ/1-cosQ)
=-(1-sinQ)/cosQ+(1+cosQ)/sinQ
=[-sinQ+sin^2(Q)+cosQ+cos^2(Q)]/[sinQcosQ]
=2(1-sinQ+cosQ)/sin(2Q)
=-(1-sinQ)/cosQ+(1+cosQ)/sinQ
=[-sinQ+sin^2(Q)+cosQ+cos^2(Q)]/[sinQcosQ]
=2(1-sinQ+cosQ)/sin(2Q)