在三角形中cos2c=-1/4 (1)求sinc (2)当a=2,2sina=sinc,求b和c
问题描述:
在三角形中cos2c=-1/4 (1)求sinc (2)当a=2,2sina=sinc,求b和c
答
(1) cos2c=1-2sin^2C=-1/42sin^2C=5/4 sin^2C=5/8 sinC>0 sinC=√10/4(2)a =2,2sina=sinc,sinA=√10/8 a/sinA=c/sinC2/(√10/8)=c/√10/4 c=4 a0 cosA=3√6/8cosA=(b^2+c^2-a^2)/2bc=3√6/8b^2-3√6b+12=0b=√6或b=2...为什么a