sin(π/2 +2a)/cos(π/4 +a)是否=2sin(π/4 +a)

问题描述:

sin(π/2 +2a)/cos(π/4 +a)是否=2sin(π/4 +a)

∵sin[π/2 +2a)]=sin[2(π/4 +a)]=2sin(π/4 +a)cos(π/4 +a)
两边同除cos(π/4 +a)得:
sin(π/2 +2a)/cos(π/4 +a)=2sin(π/4 +a)