sin(四分之π-θ)=十三分之五(0<θ<四分之π) 求cos2θ,cos(四分之π+θ)的值
问题描述:
sin(四分之π-θ)=十三分之五(0<θ<四分之π) 求cos2θ,cos(四分之π+θ)的值
要过程喔~~~
答
0cos(π/4+θ)=cos[π/2-(π/4-θ)]=0*cos(π/4-θ)+1*sin(π/4-θ)=5/13
π/4cos2θ=cos[(π/4+θ)-(π/4-θ)]=cos(π/4+θ)*cos(π/4-θ)+sin(π/4+θ)*sin(π/4-θ)=120/169