化简cosX +sin X) /(cosX -sinX)
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/06 04:38:44
化简cosX +sin X) /(cosX -sinX)
化简cosX +sin X) /(cosX -sinX)
化简cosX +sin X) /(cosX -sinX)
cosx+sinx=√2(√2cosx/2+√2sinx/2)=√2sin(x+45°)
cosx-sinx=√2(√2cosx/2-√2sinx/2)=√2cos(x+45°)
所以结果=tan(x+45°)
(cosX+sinX)/(cosX -sinX) =(cosX+sinX) ( cosX+sinX) /(cosX -sinX) ( cosX+sinX)
=[(cosX)^2 + (sin X)^2 + 2sinX cos X ] / [cos^2 X-sin^2X]
=(1+sin2X) / cos2X
=1/cos2X + tan2X
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化简cosX +sin X) /(cosX -sinX)
化简(cosX +sin X) /(cosX -sinX)
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化简cos(X-30°)+sin(X+30°)+cosX+1
sin²x+2sinx+cosx+3cos²x化简