cos²(50°+α)+cos²(40°-α)-tan(30°-α)tan(60°+α)=?

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/17 15:52:35

cos²(50°+α)+cos²(40°-α)-tan(30°-α)tan(60°+α)=?
cos²(50°+α)+cos²(40°-α)-tan(30°-α)tan(60°+α)=?

cos²(50°+α)+cos²(40°-α)-tan(30°-α)tan(60°+α)=?
tan(30°-α)=cot[90°-(30°-α)]=cot(60°+α)
tan(30°-α)tan(60°+α)=cot(60°+α)tan(60°+α)=1
同理:cos2(40°-α)=sin2[90°-(40°-α)]=sin2(50°+α)
cos2(50°+α)+cos2(40°-α)=cos2(50°+α)+sin2(50°+α)=1
1-1=0