三角函数题要步骤
问题描述:
三角函数题要步骤
答
m=[sin(A+C)+sin(A-C)]/2=[sinB+sin(A-C)]/2n=[sin(A+C)-sin(A-C)]/2=[sinB-sin(A-C)]/2A>C∴sin(A-C)>0∴m>nA>B>C π/2>B>C>0 ∴sinA>sinB>0 cosC>cosB>0∴sinAcosC>sinBcosB即m>p若A为钝角则B,C 均为锐角所以p>n若A为锐角则0<cosA<cosB 0<sinC<sinB∴n=cosAsinC<p=sinBcosB