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 >

-7cos(7x)=0

解答

- 7 cos (7 x) = 0

解答

x = \frac{π}{14} + \frac{2 πn}{7}, x = \frac{3 π}{14} + \frac{2 πn}{7}

+1

度数

x = 12.85714 \dots^{\circ} + 51.42857 \dots^{\circ} n, x = 38.57142 \dots^{\circ} + 51.42857 \dots^{\circ} n

求解步骤

- 7 cos (7 x) = 0

两边除以

- 7

- 7 cos (7 x) = 0

两边除以

- 7

\frac{- 7 cos ( 7 x )}{- 7} = \frac{0}{- 7}

化简

cos (7 x) = 0

cos (7 x) = 0

cos (7 x) = 0

的通解

cos (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} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{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} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

7 x = \frac{π}{2} + 2 πn, 7 x = \frac{3 π}{2} + 2 πn

7 x = \frac{π}{2} + 2 πn, 7 x = \frac{3 π}{2} + 2 πn

解

7 x = \frac{π}{2} + 2 πn : x = \frac{π}{14} + \frac{2 πn}{7}

7 x = \frac{π}{2} + 2 πn

两边除以

7

7 x = \frac{π}{2} + 2 πn

两边除以

7

\frac{7 x}{7} = \frac{\frac{π}{2}}{7} + \frac{2 πn}{7}

化简

\frac{7 x}{7} = \frac{\frac{π}{2}}{7} + \frac{2 πn}{7}

化简

\frac{7 x}{7} : x

\frac{7 x}{7}

数字相除:

\frac{7}{7} = 1

= x

化简

\frac{\frac{π}{2}}{7} + \frac{2 πn}{7} : \frac{π}{14} + \frac{2 πn}{7}

\frac{\frac{π}{2}}{7} + \frac{2 πn}{7}

\frac{\frac{π}{2}}{7} = \frac{π}{14}

\frac{\frac{π}{2}}{7}

使用分式法则:

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

= \frac{π}{2 \cdot 7}

数字相乘:

2 \cdot 7 = 14

= \frac{π}{14}

= \frac{π}{14} + \frac{2 πn}{7}

x = \frac{π}{14} + \frac{2 πn}{7}

x = \frac{π}{14} + \frac{2 πn}{7}

x = \frac{π}{14} + \frac{2 πn}{7}

解

7 x = \frac{3 π}{2} + 2 πn : x = \frac{3 π}{14} + \frac{2 πn}{7}

7 x = \frac{3 π}{2} + 2 πn

两边除以

7

7 x = \frac{3 π}{2} + 2 πn

两边除以

7

\frac{7 x}{7} = \frac{\frac{3 π}{2}}{7} + \frac{2 πn}{7}

化简

\frac{7 x}{7} = \frac{\frac{3 π}{2}}{7} + \frac{2 πn}{7}

化简

\frac{7 x}{7} : x

\frac{7 x}{7}

数字相除:

\frac{7}{7} = 1

= x

化简

\frac{\frac{3 π}{2}}{7} + \frac{2 πn}{7} : \frac{3 π}{14} + \frac{2 πn}{7}

\frac{\frac{3 π}{2}}{7} + \frac{2 πn}{7}

\frac{\frac{3 π}{2}}{7} = \frac{3 π}{14}

\frac{\frac{3 π}{2}}{7}

使用分式法则:

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

= \frac{3 π}{2 \cdot 7}

数字相乘:

2 \cdot 7 = 14

= \frac{3 π}{14}

= \frac{3 π}{14} + \frac{2 πn}{7}

x = \frac{3 π}{14} + \frac{2 πn}{7}

x = \frac{3 π}{14} + \frac{2 πn}{7}

x = \frac{3 π}{14} + \frac{2 πn}{7}

x = \frac{π}{14} + \frac{2 πn}{7}, x = \frac{3 π}{14} + \frac{2 πn}{7}

作图

流行的例子

1 - 4 sin^{2} (x) = 0

sin (A) = \frac{15}{17}

9 sin (x) = 0

cos (θ) = \frac{20}{25}

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

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