已知f(x)=cos^2(π/12-x)/(1+sin(2x+π/3))+sinx-1/2,则函数的奇偶性和最值是怎么样的
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![已知f(x)=cos^2(π/12-x)/(1+sin(2x+π/3))+sinx-1/2,则函数的奇偶性和最值是怎么样的](/uploads/image/z/3016979-35-9.jpg?t=%E5%B7%B2%E7%9F%A5f%EF%BC%88x%EF%BC%89%3Dcos%5E2%28%CF%80%2F12-x%29%2F%EF%BC%881%2Bsin%282x%2B%CF%80%2F3%EF%BC%89%EF%BC%89%2Bsinx-1%2F2%2C%E5%88%99%E5%87%BD%E6%95%B0%E7%9A%84%E5%A5%87%E5%81%B6%E6%80%A7%E5%92%8C%E6%9C%80%E5%80%BC%E6%98%AF%E6%80%8E%E4%B9%88%E6%A0%B7%E7%9A%84)
已知f(x)=cos^2(π/12-x)/(1+sin(2x+π/3))+sinx-1/2,则函数的奇偶性和最值是怎么样的
已知f(x)=cos^2(π/12-x)/(1+sin(2x+π/3))+sinx-1/2,则函数的奇偶性和最值是怎么样的
已知f(x)=cos^2(π/12-x)/(1+sin(2x+π/3))+sinx-1/2,则函数的奇偶性和最值是怎么样的
答案见图
f(-x)=-f(x),奇函数
max(f)=1,min(f)=-1