数学三角函数1.(cos10°+√3sin10°)/√(1-cos80°)=2.函数f(x)=√3cos2/5x+sin2/5x的图像相邻的两条对称轴之间的距离是3.求(√3tan12°-3)/(sin12°(4cos²12°-2)的值
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![数学三角函数1.(cos10°+√3sin10°)/√(1-cos80°)=2.函数f(x)=√3cos2/5x+sin2/5x的图像相邻的两条对称轴之间的距离是3.求(√3tan12°-3)/(sin12°(4cos²12°-2)的值](/uploads/image/z/1804669-61-9.jpg?t=%E6%95%B0%E5%AD%A6%E4%B8%89%E8%A7%92%E5%87%BD%E6%95%B01.%EF%BC%88cos10%C2%B0%2B%E2%88%9A3sin10%C2%B0%EF%BC%89%2F%E2%88%9A%EF%BC%881-cos80%C2%B0%EF%BC%89%3D2.%E5%87%BD%E6%95%B0f%EF%BC%88x%EF%BC%89%3D%E2%88%9A3cos2%2F5x%2Bsin2%2F5x%E7%9A%84%E5%9B%BE%E5%83%8F%E7%9B%B8%E9%82%BB%E7%9A%84%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%E6%98%AF3.%E6%B1%82%EF%BC%88%E2%88%9A3tan12%C2%B0-3%EF%BC%89%2F%EF%BC%88sin12%C2%B0%EF%BC%884cos%26sup2%3B12%C2%B0-2%EF%BC%89%E7%9A%84%E5%80%BC)
数学三角函数1.(cos10°+√3sin10°)/√(1-cos80°)=2.函数f(x)=√3cos2/5x+sin2/5x的图像相邻的两条对称轴之间的距离是3.求(√3tan12°-3)/(sin12°(4cos²12°-2)的值
数学三角函数
1.(cos10°+√3sin10°)/√(1-cos80°)=
2.函数f(x)=√3cos2/5x+sin2/5x的图像相邻的两条对称轴之间的距离是
3.求(√3tan12°-3)/(sin12°(4cos²12°-2)的值
数学三角函数1.(cos10°+√3sin10°)/√(1-cos80°)=2.函数f(x)=√3cos2/5x+sin2/5x的图像相邻的两条对称轴之间的距离是3.求(√3tan12°-3)/(sin12°(4cos²12°-2)的值
1.(cos10°+√3sin10°)/√(1-cos80°)
=2sin(10°+30°)/√(1-(1-2sin^2(40°)
=2sin40°/√2sin40°
=根号2f(x)=根号3cos(2x/5)+sin(2x/5)
=2[根号3cos(2x/5)/2+sin(2x/5)/2]
=2[sin(π/3)cos(2x/5)+cos(π/3)sin(2x/5)]
=2sin(2x/5+π/3)
2.f(x)的周期为2π/(2/5)=5π
sin(2x/5+π/3)的对称轴之间的距离即为f(x)的半周期
f(x)两条对称轴之间的距离是5π/2
3.=2根号3*(sin12/2cos12-根号3/2)/2sin12cos24
=2根号3(sin12cos60-cos12sin60)/2cos12sin12cos24
=2根号3sin(12-60)/2cos12sin12cos24
=2根号3sin48/sin24cos24
=4根号3sin48/sin48
=4根号3.