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 >

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

解答

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

解答

x = - \frac{π}{6} - πn, x = - \frac{π}{3} - πn

+1

度数

x = - 3 0^{\circ} - 18 0^{\circ} n, x = - 6 0^{\circ} - 18 0^{\circ} n

求解步骤

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

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

的通解

sin (x)

周期表（周期为

2 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} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

- 2 x = \frac{π}{3} + 2 πn, - 2 x = \frac{2 π}{3} + 2 πn

- 2 x = \frac{π}{3} + 2 πn, - 2 x = \frac{2 π}{3} + 2 πn

解

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

- 2 x = \frac{π}{3} + 2 πn

两边除以

- 2

- 2 x = \frac{π}{3} + 2 πn

两边除以

- 2

\frac{- 2 x}{- 2} = \frac{\frac{π}{3}}{- 2} + \frac{2 πn}{- 2}

化简

\frac{- 2 x}{- 2} = \frac{\frac{π}{3}}{- 2} + \frac{2 πn}{- 2}

化简

\frac{- 2 x}{- 2} : x

\frac{- 2 x}{- 2}

使用分式法则:

\frac{- a}{- b} = \frac{a}{b}

= \frac{2 x}{2}

数字相除:

\frac{2}{2} = 1

= x

化简

\frac{\frac{π}{3}}{- 2} + \frac{2 πn}{- 2} : - \frac{π}{6} - πn

\frac{\frac{π}{3}}{- 2} + \frac{2 πn}{- 2}

\frac{\frac{π}{3}}{- 2} = - \frac{π}{6}

\frac{\frac{π}{3}}{- 2}

使用分式法则:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{\frac{π}{3}}{2}

使用分式法则:

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

\frac{\frac{π}{3}}{2} = \frac{π}{3 \cdot 2}

= - \frac{π}{3 \cdot 2}

数字相乘:

3 \cdot 2 = 6

= - \frac{π}{6}

= - \frac{π}{6} + \frac{2 πn}{- 2}

\frac{2 πn}{- 2} = - πn

\frac{2 πn}{- 2}

使用分式法则:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{2 πn}{2}

数字相除:

\frac{2}{2} = 1

= - πn

= - \frac{π}{6} - πn

x = - \frac{π}{6} - πn

x = - \frac{π}{6} - πn

x = - \frac{π}{6} - πn

解

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

- 2 x = \frac{2 π}{3} + 2 πn

两边除以

- 2

- 2 x = \frac{2 π}{3} + 2 πn

两边除以

- 2

\frac{- 2 x}{- 2} = \frac{\frac{2 π}{3}}{- 2} + \frac{2 πn}{- 2}

化简

\frac{- 2 x}{- 2} = \frac{\frac{2 π}{3}}{- 2} + \frac{2 πn}{- 2}

化简

\frac{- 2 x}{- 2} : x

\frac{- 2 x}{- 2}

使用分式法则:

\frac{- a}{- b} = \frac{a}{b}

= \frac{2 x}{2}

数字相除:

\frac{2}{2} = 1

= x

化简

\frac{\frac{2 π}{3}}{- 2} + \frac{2 πn}{- 2} : - \frac{π}{3} - πn

\frac{\frac{2 π}{3}}{- 2} + \frac{2 πn}{- 2}

\frac{\frac{2 π}{3}}{- 2} = - \frac{π}{3}

\frac{\frac{2 π}{3}}{- 2}

使用分式法则:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{\frac{2 π}{3}}{2}

使用分式法则:

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

\frac{\frac{2 π}{3}}{2} = \frac{2 π}{3 \cdot 2}

= - \frac{2 π}{3 \cdot 2}

数字相乘:

3 \cdot 2 = 6

= - \frac{2 π}{6}

约分:

2

= - \frac{π}{3}

= - \frac{π}{3} + \frac{2 πn}{- 2}

\frac{2 πn}{- 2} = - πn

\frac{2 πn}{- 2}

使用分式法则:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{2 πn}{2}

数字相除:

\frac{2}{2} = 1

= - πn

= - \frac{π}{3} - πn

x = - \frac{π}{3} - πn

x = - \frac{π}{3} - πn

x = - \frac{π}{3} - πn

x = - \frac{π}{6} - πn, x = - \frac{π}{3} - πn

作图

流行的例子

sqrt(2)sin(3θ)+1=0

2 sin (3 θ) + 1 = 0

sin (a) = 0.7245

sqrt(3)tan(x/4)+5=4

3 tan (\frac{x}{4}) + 5 = 4

sqrt(2)sin(3x)=1

2 sin (3 x) = 1

sin(4x)=cos(2x)

sin (4 x) = cos (2 x)