> 数学 >
三角形ABC中,(tanA-tanB)/(tanA+tanB)=(c-b)/c,求角A
人气:429 ℃ 时间:2019-12-25 00:56:50
解答
(tanA-tanB)/(tanA+tanB)
=(sinAcosB-sinBcosA)/(sinAcosB+sinBcosA)
=(sinAcosB-sinBcosA)/sin(A+B)
=(sinAcosB-sinBcosA)/sinC
(c-b)/c
=(sin(A+B)-sinB)/sinC
(tanA-tanB)/(tanA+tanB)=(c-b)/c
sinAcosB-sinBcosA=sinAcosB+sinBcosA-sinB
sinB=2sinBcosA sinB≠0
cosA=1/2
推荐
猜你喜欢
© 2024 79432.Com All Rights Reserved.
电脑版|手机版