sin(60-x)=1/4,cos(60+2x)=

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/26 08:35:48
sin(60-x)=1/4,cos(60+2x)=sin(60-x)=1/4,cos(60+2x)=sin(60-x)=1/4,cos(60+2x)=sin(60-x)=1/4则cos[90°-(60

sin(60-x)=1/4,cos(60+2x)=
sin(60-x)=1/4,cos(60+2x)=

sin(60-x)=1/4,cos(60+2x)=
sin(60-x)=1/4
则cos[90°-(60°-x)]=sin(60-x)=1/4
cos(30°+x)=1/4
cos(60°+2x)=cos2(30°+x)
=2cos²(30°+x)-1
=2*(1/4)²-1
=-7/8
即-8分之7

令α=60-X,则2α=120-2X
180-2α=60+2X
sinα=1/4,sin²α=1/16
cos²α=15/16
cos(180-2α)
=cos2α
=cos²α-sin²α
=14/16
=7/8