cos/(1+tan)-sin/(1+cot)化简
来源:学生作业帮助网 编辑:作业帮 时间:2024/05/06 05:42:48
cos/(1+tan)-sin/(1+cot)化简
cos/(1+tan)-sin/(1+cot)化简
cos/(1+tan)-sin/(1+cot)化简
cos/(1+tan)-sin/(1+cot)
=cos/(1+sin/cos)-sin/(1+cos/sin)
=cos^2/(cos+sin)-sin^2(sin+cos)
=(cos^2-sin^2)/(sin+cos)
=cos-sin
=√2cos(a+π/4)
cos/(1+tan)-sin/(1+cot)
=cos/(1+sin/cos)-sin/(1+cos/sin)
=cos^2/(cos+sin)-sin^2(sin+cos)
=(cos^2-sin^2)/(sin+cos)
=cos-sin
=√2cos(a+π/4)
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cos/(1+tan)-sin/(1+cot)化简
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