设cos(x+y)sinx-sin(x+y)cosx=12/13 ,且y是第四象限角,则tany/2的值是A±2/3 B±3/2 C-3/2 D-2/3
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设cos(x+y)sinx-sin(x+y)cosx=12/13,且y是第四象限角,则tany/2的值是A±2/3B±3/2C-3/2D-2/3设cos(x+y)sinx-sin(x+y)cosx=1
设cos(x+y)sinx-sin(x+y)cosx=12/13 ,且y是第四象限角,则tany/2的值是A±2/3 B±3/2 C-3/2 D-2/3
设cos(x+y)sinx-sin(x+y)cosx=12/13 ,且y是第四象限角,则tany/2的值是
A±2/3 B±3/2 C-3/2 D-2/3
设cos(x+y)sinx-sin(x+y)cosx=12/13 ,且y是第四象限角,则tany/2的值是A±2/3 B±3/2 C-3/2 D-2/3
cos(x+y)sinx-sin(x+y)cosx
=sin(x-x-y)
=sin(-y)
=-siny
=12/13 (两角和公式)
所以siny=-12/13
由万能公式 siny=(2tany/2)/(1+(tany/2)^2)
解得siny/2=-2/3 或-3/2
又y是第四象限角且siny=-12/13
所以siny/2=-2/3
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