化简sin(x+y)sin(x-y)+cos(x+y)cos(x-y)的结果是()
举一反三
- 曲线积分$$\int_{(0,0}^{(x,y)}(2x\cos y-y^2\sin x)dx+(2y\cos x-x^2\sin y)dy=$$ A: $y^2\cos x+x^2\cos y$ B: $x^2\cos x+y^2\cos y$ C: $x^2\sin y+y^2\sin x$ D: $x^2\sin x+y^2\sin y$
- 化简sin(x+y)sin(x-y)+cos(x+y)cos(x-y)的结果是()
- 以下表达式中,有两个的计算结果是相同的,请挑选出来 A: 1 / sqrt(sin(x) * sin(x) + cos(y) * cos(y)) B: sqrt(pow(sin(x), 2) + pow(cos(y), 2)) C: pow(sin(x) * sin(x) + cos(y) * cos(y), 0.5) D: pow(pow(sin(x), 2) + pow(cos(y), 2), 2)
- 函数\(y = \int_0^x {\sin tdt} \)的导数为( )。 A: \(y' = \sin x\) B: \(y' = \cos x\) C: \(y' = -\sin x\) D: \(y' = -\cos x\)
- 已知\( y = \cos x \),则\( y' \)为( ). A: \( \cos x \) B: \( \sin x \) C: \( - \cos x \) D: \( - \sin x \)