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问题: 设3pai/4

解答:

(cosx+sinx)^2=1+2sinxcosx=1+sin2x=1+a
--->cosx+sinx=+'-(1+a)^0.5
cosx+sinx=2^(1/2)*sin(x+pi/4)
3pi/4<x<pi--->pi<x+pi/4<pi+pi/4--->sin(x+pi/4)<0--->cosx+sin<0
--->cosx+sinx=-(1+a)^(1/2)