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受欢迎的三角函数 >

tan(x/6)+sqrt(3)=0

解答

tan (\frac{x}{6}) + 3 = 0

解答

x = 4 π + 6 πn

+1

度数

x = 72 0^{\circ} + 108 0^{\circ} n

求解步骤

tan (\frac{x}{6}) + 3 = 0

将

3

到右边

tan (\frac{x}{6}) + 3 = 0

两边减去

3

tan (\frac{x}{6}) + 3 - 3 = 0 - 3

化简

tan (\frac{x}{6}) = - 3

tan (\frac{x}{6}) = - 3

tan (\frac{x}{6}) = - 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}

\frac{x}{6} = \frac{2 π}{3} + πn

\frac{x}{6} = \frac{2 π}{3} + πn

解

\frac{x}{6} = \frac{2 π}{3} + πn : x = 4 π + 6 πn

\frac{x}{6} = \frac{2 π}{3} + πn

在两边乘以

6

\frac{x}{6} = \frac{2 π}{3} + πn

在两边乘以

6

\frac{6 x}{6} = 6 \cdot \frac{2 π}{3} + 6 πn

化简

\frac{6 x}{6} = 6 \cdot \frac{2 π}{3} + 6 πn

化简

\frac{6 x}{6} : x

\frac{6 x}{6}

数字相除:

\frac{6}{6} = 1

= x

化简

6 \cdot \frac{2 π}{3} + 6 πn : 4 π + 6 πn

6 \cdot \frac{2 π}{3} + 6 πn

6 \cdot \frac{2 π}{3} = 4 π

6 \cdot \frac{2 π}{3}

分式相乘:

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

= \frac{2 π 6}{3}

数字相乘:

2 \cdot 6 = 12

= \frac{12 π}{3}

数字相除:

\frac{12}{3} = 4

= 4 π

= 4 π + 6 πn

x = 4 π + 6 πn

x = 4 π + 6 πn

x = 4 π + 6 πn

x = 4 π + 6 πn

作图

流行的例子

solvefor k,6(-cos(k/2)+1)=1.5

so l v e f or k, 6 (- cos (\frac{k}{2}) + 1) = 1.5

tan(x)=sqrt(3),0<= x<2pi

tan (x) = 3, 0 \leq x < 2 π

3tan^2(x)+4tan(x)-3=0

3 tan^{2} (x) + 4 tan (x) - 3 = 0

sin(2x)=sqrt(3)cos(x),0<= x<= 2pi

sin (2 x) = 3 cos (x), 0 \leq x \leq 2 π

cos^2(t)+9/49 =1

cos^{2} (t) + \frac{9}{49} = 1