f(x)=sin²ωx+√3cosωxXcos(π/2-ωx)(ω>0),且函数y=f(x)的图像相邻两条对称轴之间的距离为π/2.(1)求ω的值及f(x)的单调递增区间(2)在△ABC中,a,b,c分别是角A,B,C的对边,若a=√3,b=√2,f(A)=3/2,求角C
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![f(x)=sin²ωx+√3cosωxXcos(π/2-ωx)(ω>0),且函数y=f(x)的图像相邻两条对称轴之间的距离为π/2.(1)求ω的值及f(x)的单调递增区间(2)在△ABC中,a,b,c分别是角A,B,C的对边,若a=√3,b=√2,f(A)=3/2,求角C](/uploads/image/z/5502655-55-5.jpg?t=f%28x%29%3Dsin%26%23178%3B%CF%89x%2B%E2%88%9A3cos%CF%89xXcos%28%CF%80%2F2-%CF%89x%29%28%CF%89%3E0%29%2C%E4%B8%94%E5%87%BD%E6%95%B0y%3Df%28x%29%E7%9A%84%E5%9B%BE%E5%83%8F%E7%9B%B8%E9%82%BB%E4%B8%A4%E6%9D%A1%E5%AF%B9%E7%A7%B0%E8%BD%B4%E4%B9%8B%E9%97%B4%E7%9A%84%E8%B7%9D%E7%A6%BB%E4%B8%BA%CF%80%2F2.%EF%BC%881%EF%BC%89%E6%B1%82%CF%89%E7%9A%84%E5%80%BC%E5%8F%8Af%28x%29%E7%9A%84%E5%8D%95%E8%B0%83%E9%80%92%E5%A2%9E%E5%8C%BA%E9%97%B4%EF%BC%882%EF%BC%89%E5%9C%A8%E2%96%B3ABC%E4%B8%AD%2Ca%2Cb%2Cc%E5%88%86%E5%88%AB%E6%98%AF%E8%A7%92A%2CB%2CC%E7%9A%84%E5%AF%B9%E8%BE%B9%2C%E8%8B%A5a%3D%E2%88%9A3%2Cb%3D%E2%88%9A2%2Cf%28A%29%3D3%2F2%2C%E6%B1%82%E8%A7%92C)
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f(x)=sin²ωx+√3cosωxXcos(π/2-ωx)(ω>0),且函数y=f(x)的图像相邻两条对称轴之间的距离为π/2.(1)求ω的值及f(x)的单调递增区间(2)在△ABC中,a,b,c分别是角A,B,C的对边,若a=√3,b=√2,f(A)=3/2,求角C
f(x)=sin²ωx+√3cosωxXcos(π/2-ωx)(ω>0),且函数y=f(x)的图像相邻两条对称轴之间的距离为π/2.
(1)求ω的值及f(x)的单调递增区间
(2)在△ABC中,a,b,c分别是角A,B,C的对边,若a=√3,b=√2,f(A)=3/2,求角C
f(x)=sin²ωx+√3cosωxXcos(π/2-ωx)(ω>0),且函数y=f(x)的图像相邻两条对称轴之间的距离为π/2.(1)求ω的值及f(x)的单调递增区间(2)在△ABC中,a,b,c分别是角A,B,C的对边,若a=√3,b=√2,f(A)=3/2,求角C
(1)化简得y=sin(2ωx-π/6)+1/2,由y=f(x)的图像相邻两条对称轴之间的距离为π/2.
则T=π,ω=1,单调递增,2kπ-π/2