zs

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

受欢迎的三角函数 >

tan(3x)=(sqrt(3))/3

解答

tan (3 x) = \frac{3}{3}

解答

x = \frac{π}{18} + \frac{πn}{3}

+1

度数

x = 1 0^{\circ} + 6 0^{\circ} n

求解步骤

tan (3 x) = \frac{3}{3}

tan (3 x) = \frac{3}{3}

的通解

tan (x)

周期表（周期为

πn

）：

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} tan (x) 0 \frac{3}{3} 13 \pm \infty - 3 - 1 - \frac{3}{3}

3 x = \frac{π}{6} + πn

3 x = \frac{π}{6} + πn

解

3 x = \frac{π}{6} + πn : x = \frac{π}{18} + \frac{πn}{3}

3 x = \frac{π}{6} + πn

两边除以

3

3 x = \frac{π}{6} + πn

两边除以

3

\frac{3 x}{3} = \frac{\frac{π}{6}}{3} + \frac{πn}{3}

化简

\frac{3 x}{3} = \frac{\frac{π}{6}}{3} + \frac{πn}{3}

化简

\frac{3 x}{3} : x

\frac{3 x}{3}

数字相除:

\frac{3}{3} = 1

= x

化简

\frac{\frac{π}{6}}{3} + \frac{πn}{3} : \frac{π}{18} + \frac{πn}{3}

\frac{\frac{π}{6}}{3} + \frac{πn}{3}

\frac{\frac{π}{6}}{3} = \frac{π}{18}

\frac{\frac{π}{6}}{3}

使用分式法则:

\frac{\frac{b}{c}}{a} = \frac{b}{c \cdot a}

= \frac{π}{6 \cdot 3}

数字相乘:

6 \cdot 3 = 18

= \frac{π}{18}

= \frac{π}{18} + \frac{πn}{3}

x = \frac{π}{18} + \frac{πn}{3}

x = \frac{π}{18} + \frac{πn}{3}

x = \frac{π}{18} + \frac{πn}{3}

x = \frac{π}{18} + \frac{πn}{3}

作图

流行的例子

sin(x)tan(x)=sin(x)

sin (x) tan (x) = sin (x)

2cos^2(x)+cos(2x)=0

2 cos^{2} (x) + cos (2 x) = 0

9 cos^{2} (θ) - 4 = 0

sec(θ)=(2sqrt(3))/3

sec (θ) = \frac{2 3}{3}

sin(x+pi/4)-sin(x-(5pi)/4)=(sqrt(2))/2

sin (x + \frac{π}{4}) - sin (x - \frac{5 π}{4}) = \frac{2}{2}