let -pi/4<=x<=pi/4 ,-pi/4<=y<=pi/4 such that for some positive integer n,nx^3+sinx-2010=0 and 4ny^3+sinxcosy+1005=0, then the value of sin(x+2y)+cos(x+2y) is ______

Dear student

The value of sin(x+2y)+cos(x+2y)=0

Just use the expansion of sin(a+b) and cos(a+b) here

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