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受欢迎的三角函数 >

6sqrt(2)+12cos(x-45)=0

解答

62 + 12 cos (x - 4 5^{\circ}) = 0

解答

x = 36 0^{\circ} n + 18 0^{\circ}, x = 36 0^{\circ} n + 27 0^{\circ}

+1

弧度

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

求解步骤

62 + 12 cos (x - 4 5^{\circ}) = 0

将

62

到右边

62 + 12 cos (x - 4 5^{\circ}) = 0

两边减去

62

62 + 12 cos (x - 4 5^{\circ}) - 62 = 0 - 62

化简

12 cos (x - 4 5^{\circ}) = - 62

12 cos (x - 4 5^{\circ}) = - 62

两边除以

12

12 cos (x - 4 5^{\circ}) = - 62

两边除以

12

\frac{12 cos ( x - 4 5 ^{\circ} )}{12} = \frac{- 6 2}{12}

化简

\frac{12 cos ( x - 4 5 ^{\circ} )}{12} = \frac{- 6 2}{12}

化简

\frac{12 cos ( x - 4 5 ^{\circ} )}{12} : cos (x - 4 5^{\circ})

\frac{12 cos ( x - 4 5 ^{\circ} )}{12}

数字相除:

\frac{12}{12} = 1

= cos (x - 4 5^{\circ})

化简

\frac{- 6 2}{12} : - \frac{2}{2}

\frac{- 6 2}{12}

使用分式法则:

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

= - \frac{6 2}{12}

约分:

6

= - \frac{2}{2}

cos (x - 4 5^{\circ}) = - \frac{2}{2}

cos (x - 4 5^{\circ}) = - \frac{2}{2}

cos (x - 4 5^{\circ}) = - \frac{2}{2}

cos (x - 4 5^{\circ}) = - \frac{2}{2}

的通解

cos (x)

周期表（周期为

36 0^{\circ} n

）：

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

x - 4 5^{\circ} = 13 5^{\circ} + 36 0^{\circ} n, x - 4 5^{\circ} = 22 5^{\circ} + 36 0^{\circ} n

x - 4 5^{\circ} = 13 5^{\circ} + 36 0^{\circ} n, x - 4 5^{\circ} = 22 5^{\circ} + 36 0^{\circ} n

解

x - 4 5^{\circ} = 13 5^{\circ} + 36 0^{\circ} n : x = 36 0^{\circ} n + 18 0^{\circ}

x - 4 5^{\circ} = 13 5^{\circ} + 36 0^{\circ} n

将

4 5^{\circ}

到右边

x - 4 5^{\circ} = 13 5^{\circ} + 36 0^{\circ} n

两边加上

4 5^{\circ}

x - 4 5^{\circ} + 4 5^{\circ} = 13 5^{\circ} + 36 0^{\circ} n + 4 5^{\circ}

化简

x - 4 5^{\circ} + 4 5^{\circ} = 13 5^{\circ} + 36 0^{\circ} n + 4 5^{\circ}

化简

x - 4 5^{\circ} + 4 5^{\circ} : x

x - 4 5^{\circ} + 4 5^{\circ}

同类项相加:

- 4 5^{\circ} + 4 5^{\circ} = 0

= x

化简

13 5^{\circ} + 36 0^{\circ} n + 4 5^{\circ} : 36 0^{\circ} n + 18 0^{\circ}

13 5^{\circ} + 36 0^{\circ} n + 4 5^{\circ}

对同类项分组

= 36 0^{\circ} n + 4 5^{\circ} + 13 5^{\circ}

合并分式

4 5^{\circ} + 13 5^{\circ} : 18 0^{\circ}

使用法则

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

= \frac{18 0 ^{\circ} + 54 0 ^{\circ}}{4}

同类项相加:

18 0^{\circ} + 54 0^{\circ} = 72 0^{\circ}

= 18 0^{\circ}

数字相除:

\frac{4}{4} = 1

= 18 0^{\circ}

= 36 0^{\circ} n + 18 0^{\circ}

x = 36 0^{\circ} n + 18 0^{\circ}

x = 36 0^{\circ} n + 18 0^{\circ}

x = 36 0^{\circ} n + 18 0^{\circ}

解

x - 4 5^{\circ} = 22 5^{\circ} + 36 0^{\circ} n : x = 36 0^{\circ} n + 27 0^{\circ}

x - 4 5^{\circ} = 22 5^{\circ} + 36 0^{\circ} n

将

4 5^{\circ}

到右边

x - 4 5^{\circ} = 22 5^{\circ} + 36 0^{\circ} n

两边加上

4 5^{\circ}

x - 4 5^{\circ} + 4 5^{\circ} = 22 5^{\circ} + 36 0^{\circ} n + 4 5^{\circ}

化简

x - 4 5^{\circ} + 4 5^{\circ} = 22 5^{\circ} + 36 0^{\circ} n + 4 5^{\circ}

化简

x - 4 5^{\circ} + 4 5^{\circ} : x

x - 4 5^{\circ} + 4 5^{\circ}

同类项相加:

- 4 5^{\circ} + 4 5^{\circ} = 0

= x

化简

22 5^{\circ} + 36 0^{\circ} n + 4 5^{\circ} : 36 0^{\circ} n + 27 0^{\circ}

22 5^{\circ} + 36 0^{\circ} n + 4 5^{\circ}

对同类项分组

= 36 0^{\circ} n + 4 5^{\circ} + 22 5^{\circ}

合并分式

4 5^{\circ} + 22 5^{\circ} : 27 0^{\circ}

使用法则

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

= \frac{18 0 ^{\circ} + 90 0 ^{\circ}}{4}

同类项相加:

18 0^{\circ} + 90 0^{\circ} = 108 0^{\circ}

= 27 0^{\circ}

约分:

2

= 27 0^{\circ}

= 36 0^{\circ} n + 27 0^{\circ}

x = 36 0^{\circ} n + 27 0^{\circ}

x = 36 0^{\circ} n + 27 0^{\circ}

x = 36 0^{\circ} n + 27 0^{\circ}

x = 36 0^{\circ} n + 18 0^{\circ}, x = 36 0^{\circ} n + 27 0^{\circ}

作图

流行的例子

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(2 \cdot 9.8 \cdot l (1 - cos (θ))) = 0.018

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tan (θ) = - \frac{16.54}{34.01}

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sin (\frac{x}{7}) = \frac{3 ^{\frac{1}{2}}}{2}, π < x < 3 π

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