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受欢迎的三角函数 >

tan(x/2)=-(sqrt(3))/3

解答

tan (\frac{x}{2}) = - \frac{3}{3}

解答

x = \frac{5 π}{3} + 2 πn

+1

度数

x = 30 0^{\circ} + 36 0^{\circ} n

求解步骤

tan (\frac{x}{2}) = - \frac{3}{3}

tan (\frac{x}{2}) = - \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}

\frac{x}{2} = \frac{5 π}{6} + πn

\frac{x}{2} = \frac{5 π}{6} + πn

解

\frac{x}{2} = \frac{5 π}{6} + πn : x = \frac{5 π}{3} + 2 πn

\frac{x}{2} = \frac{5 π}{6} + πn

在两边乘以

2

\frac{x}{2} = \frac{5 π}{6} + πn

在两边乘以

2

\frac{2 x}{2} = 2 \cdot \frac{5 π}{6} + 2 πn

化简

\frac{2 x}{2} = 2 \cdot \frac{5 π}{6} + 2 πn

化简

\frac{2 x}{2} : x

\frac{2 x}{2}

数字相除:

\frac{2}{2} = 1

= x

化简

2 \cdot \frac{5 π}{6} + 2 πn : \frac{5 π}{3} + 2 πn

2 \cdot \frac{5 π}{6} + 2 πn

2 \cdot \frac{5 π}{6} = \frac{5 π}{3}

2 \cdot \frac{5 π}{6}

分式相乘:

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

= \frac{5 π 2}{6}

数字相乘:

5 \cdot 2 = 10

= \frac{10 π}{6}

约分:

2

= \frac{5 π}{3}

= \frac{5 π}{3} + 2 πn

x = \frac{5 π}{3} + 2 πn

x = \frac{5 π}{3} + 2 πn

x = \frac{5 π}{3} + 2 πn

x = \frac{5 π}{3} + 2 πn

作图

流行的例子

sec (3 x) - 2 = 0

cot(x)-sqrt(3)=0

cot (x) - 3 = 0

tan (x) = cot (x)

sin^2(θ)-2sin(θ)=0

sin^{2} (θ) - 2 sin (θ) = 0

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

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