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

解答

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

解答

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

+1

弧度

x = \frac{π}{4} - 2 πn, x = - \frac{3 π}{4} - 2 πn

求解步骤

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

两边减去

cos (x - 2^{\circ})

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

化简

sin (x + 2^{\circ}) - cos (x - 2^{\circ}) : sin (\frac{90 x + 18 0 ^{\circ}}{90}) - cos (\frac{90 x - 18 0 ^{\circ}}{90})

sin (x + 2^{\circ}) - cos (x - 2^{\circ})

化简

x + 2^{\circ} : \frac{90 x + 18 0 ^{\circ}}{90}

x + 2^{\circ}

将项转换为分式:

x = \frac{x 90}{90}

= \frac{x \cdot 90}{90} + 2^{\circ}

因为分母相等，所以合并分式:

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

= \frac{x \cdot 90 + 18 0 ^{\circ}}{90}

= sin (\frac{90 x + 18 0 ^{\circ}}{90}) - cos (x - 2^{\circ})

化简

x - 2^{\circ} : \frac{90 x - 18 0 ^{\circ}}{90}

x - 2^{\circ}

将项转换为分式:

x = \frac{x 90}{90}

= \frac{x \cdot 90}{90} - 2^{\circ}

因为分母相等，所以合并分式:

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

= \frac{x \cdot 90 - 18 0 ^{\circ}}{90}

= sin (\frac{90 x + 18 0 ^{\circ}}{90}) - cos (\frac{90 x - 18 0 ^{\circ}}{90})

sin (\frac{90 x + 18 0 ^{\circ}}{90}) - cos (\frac{90 x - 18 0 ^{\circ}}{90}) = 0

使用三角恒等式改写

- cos (\frac{- 18 0 ^{\circ} + 90 x}{90}) + sin (\frac{18 0 ^{\circ} + 90 x}{90})

利用以下特性:

sin (x) = cos (9 0^{\circ} - x)

= - cos (\frac{- 18 0 ^{\circ} + 90 x}{90}) + cos (9 0^{\circ} - \frac{18 0 ^{\circ} + 90 x}{90})

化简

9 0^{\circ} - \frac{18 0 ^{\circ} + 90 x}{90} : \frac{396 0 ^{\circ} - 45 x}{45}

9 0^{\circ} - \frac{18 0 ^{\circ} + 90 x}{90}

2, 90

的最小公倍数:

90

2, 90

最小公倍数 (LCM)

2

质因数分解:

2

2

2

是质数，因此无法因数分解

= 2

90

质因数分解:

2 \cdot 3 \cdot 3 \cdot 5

90

90

除以

290 = 45 \cdot 2

= 2 \cdot 45

45

除以

345 = 15 \cdot 3

= 2 \cdot 3 \cdot 15

15

除以

315 = 5 \cdot 3

= 2 \cdot 3 \cdot 3 \cdot 5

2, 3, 5

都是质数，因此无法进一步因数分解

= 2 \cdot 3 \cdot 3 \cdot 5

将每个因子乘以它在

2

或

90

中出现的最多次数

= 2 \cdot 3 \cdot 3 \cdot 5

数字相乘:

2 \cdot 3 \cdot 3 \cdot 5 = 90

= 90

根据最小公倍数调整分式

将每个分子乘以其分母转变为最小公倍数所要乘以的同一数值

90

对于

9 0^{\circ} :

将分母和分子乘以

45

9 0^{\circ} = \frac{18 0 ^{\circ} 45}{2 \cdot 45} = 9 0^{\circ}

= 9 0^{\circ} - \frac{18 0 ^{\circ} + 90 x}{90}

因为分母相等，所以合并分式:

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

= \frac{18 0 ^{\circ} 45 - ( 18 0 ^{\circ} + 90 x )}{90}

乘开

18 0^{\circ} 45 - (18 0^{\circ} + 90 x) : 792 0^{\circ} - 90 x

18 0^{\circ} 45 - (18 0^{\circ} + 90 x)

= 810 0^{\circ} - (18 0^{\circ} + 90 x)

- (18 0^{\circ} + 90 x) : - 18 0^{\circ} - 90 x

- (18 0^{\circ} + 90 x)

打开括号

= - (18 0^{\circ}) - (90 x)

使用加减运算法则

+ (- a) = - a

= - 18 0^{\circ} - 90 x

= 18 0^{\circ} 45 - 18 0^{\circ} - 90 x

同类项相加:

810 0^{\circ} - 18 0^{\circ} = 792 0^{\circ}

= 792 0^{\circ} - 90 x

= \frac{792 0 ^{\circ} - 90 x}{90}

分解

792 0^{\circ} - 90 x : 2 (396 0^{\circ} - 45 x)

792 0^{\circ} - 90 x

改写为

= 2 \cdot 396 0^{\circ} - 2 \cdot 45 x

因式分解出通项

2

= 2 (396 0^{\circ} - 45 x)

= \frac{2 ( 396 0 ^{\circ} - 45 x )}{90}

约分:

2

= \frac{396 0 ^{\circ} - 45 x}{45}

= - cos (\frac{- 18 0 ^{\circ} + 90 x}{90}) + cos (\frac{396 0 ^{\circ} - 45 x}{45})

使用和差化积恒等式:

cos (s) - cos (t) = - 2 sin (\frac{s + t}{2}) sin (\frac{s - t}{2})

= - 2 sin (\frac{\frac{396 0 ^{\circ} - 45 x}{45} + \frac{- 18 0 ^{\circ} + 90 x}{90}}{2}) sin (\frac{\frac{396 0 ^{\circ} - 45 x}{45} - \frac{- 18 0 ^{\circ} + 90 x}{90}}{2})

化简

- 2 sin (\frac{\frac{396 0 ^{\circ} - 45 x}{45} + \frac{- 18 0 ^{\circ} + 90 x}{90}}{2}) sin (\frac{\frac{396 0 ^{\circ} - 45 x}{45} - \frac{- 18 0 ^{\circ} + 90 x}{90}}{2}) : - 2 sin (4 3^{\circ}) sin (\frac{- 4 x + 18 0 ^{\circ}}{4})

- 2 sin (\frac{\frac{396 0 ^{\circ} - 45 x}{45} + \frac{- 18 0 ^{\circ} + 90 x}{90}}{2}) sin (\frac{\frac{396 0 ^{\circ} - 45 x}{45} - \frac{- 18 0 ^{\circ} + 90 x}{90}}{2})

\frac{\frac{396 0 ^{\circ} - 45 x}{45} + \frac{- 18 0 ^{\circ} + 90 x}{90}}{2} = 4 3^{\circ}

\frac{\frac{396 0 ^{\circ} - 45 x}{45} + \frac{- 18 0 ^{\circ} + 90 x}{90}}{2}

化简

\frac{396 0 ^{\circ} - 45 x}{45} + \frac{- 18 0 ^{\circ} + 90 x}{90} : 8 6^{\circ}

\frac{396 0 ^{\circ} - 45 x}{45} + \frac{- 18 0 ^{\circ} + 90 x}{90}

45, 90

的最小公倍数:

90

45, 90

最小公倍数 (LCM)

45

质因数分解:

3 \cdot 3 \cdot 5

45

45

除以

345 = 15 \cdot 3

= 3 \cdot 15

15

除以

315 = 5 \cdot 3

= 3 \cdot 3 \cdot 5

3, 5

都是质数，因此无法进一步因数分解

= 3 \cdot 3 \cdot 5

90

质因数分解:

2 \cdot 3 \cdot 3 \cdot 5

90

90

除以

290 = 45 \cdot 2

= 2 \cdot 45

45

除以

345 = 15 \cdot 3

= 2 \cdot 3 \cdot 15

15

除以

315 = 5 \cdot 3

= 2 \cdot 3 \cdot 3 \cdot 5

2, 3, 5

都是质数，因此无法进一步因数分解

= 2 \cdot 3 \cdot 3 \cdot 5

将每个因子乘以它在

45

或

90

中出现的最多次数

= 3 \cdot 3 \cdot 5 \cdot 2

数字相乘:

3 \cdot 3 \cdot 5 \cdot 2 = 90

= 90

根据最小公倍数调整分式

将每个分子乘以其分母转变为最小公倍数所要乘以的同一数值

90

对于

\frac{396 0 ^{\circ} - 45 x}{45} :

将分母和分子乘以

2

\frac{396 0 ^{\circ} - 45 x}{45} = \frac{( 396 0 ^{\circ} - 45 x ) \cdot 2}{45 \cdot 2} = \frac{( 396 0 ^{\circ} - 45 x ) \cdot 2}{90}

= \frac{( 396 0 ^{\circ} - 45 x ) \cdot 2}{90} + \frac{- 18 0 ^{\circ} + 90 x}{90}

因为分母相等，所以合并分式:

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

= \frac{( 396 0 ^{\circ} - 45 x ) \cdot 2 - 18 0 ^{\circ} + 90 x}{90}

乘开

(396 0^{\circ} - 45 x) \cdot 2 - 18 0^{\circ} + 90 x : 774 0^{\circ}

(396 0^{\circ} - 45 x) \cdot 2 - 18 0^{\circ} + 90 x

= 2 (396 0^{\circ} - 45 x) - 18 0^{\circ} + 90 x

乘开

2 (396 0^{\circ} - 45 x) : 792 0^{\circ} - 90 x

2 (396 0^{\circ} - 45 x)

使用分配律:

a (b - c) = ab - a c

a = 2, b = 396 0^{\circ}, c = 45 x

= 2 \cdot 396 0^{\circ} - 2 \cdot 45 x

化简

2 \cdot 396 0^{\circ} - 2 \cdot 45 x : 792 0^{\circ} - 90 x

2 \cdot 396 0^{\circ} - 2 \cdot 45 x

数字相乘:

2 \cdot 22 = 44

= 792 0^{\circ} - 2 \cdot 45 x

数字相乘:

2 \cdot 45 = 90

= 792 0^{\circ} - 90 x

= 792 0^{\circ} - 90 x

= 792 0^{\circ} - 90 x - 18 0^{\circ} + 90 x

化简

792 0^{\circ} - 90 x - 18 0^{\circ} + 90 x : 774 0^{\circ}

792 0^{\circ} - 90 x - 18 0^{\circ} + 90 x

对同类项分组

= - 90 x + 90 x + 792 0^{\circ} - 18 0^{\circ}

同类项相加:

- 90 x + 90 x = 0

= 792 0^{\circ} - 18 0^{\circ}

同类项相加:

792 0^{\circ} - 18 0^{\circ} = 774 0^{\circ}

= 774 0^{\circ}

= 774 0^{\circ}

= 8 6^{\circ}

= \frac{8 6 ^{\circ}}{2}

使用分式法则:

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

= \frac{774 0 ^{\circ}}{90 \cdot 2}

数字相乘:

90 \cdot 2 = 180

= 4 3^{\circ}

= - 2 sin (4 3^{\circ}) sin (\frac{\frac{- 45 x + 396 0 ^{\circ}}{45} - \frac{90 x - 18 0 ^{\circ}}{90}}{2})

\frac{\frac{396 0 ^{\circ} - 45 x}{45} - \frac{- 18 0 ^{\circ} + 90 x}{90}}{2} = \frac{- 4 x + 18 0 ^{\circ}}{4}

\frac{\frac{396 0 ^{\circ} - 45 x}{45} - \frac{- 18 0 ^{\circ} + 90 x}{90}}{2}

化简

\frac{396 0 ^{\circ} - 45 x}{45} - \frac{- 18 0 ^{\circ} + 90 x}{90} : \frac{- 4 x + 18 0 ^{\circ}}{2}

\frac{396 0 ^{\circ} - 45 x}{45} - \frac{- 18 0 ^{\circ} + 90 x}{90}

45, 90

的最小公倍数:

90

45, 90

最小公倍数 (LCM)

45

质因数分解:

3 \cdot 3 \cdot 5

45

45

除以

345 = 15 \cdot 3

= 3 \cdot 15

15

除以

315 = 5 \cdot 3

= 3 \cdot 3 \cdot 5

3, 5

都是质数，因此无法进一步因数分解

= 3 \cdot 3 \cdot 5

90

质因数分解:

2 \cdot 3 \cdot 3 \cdot 5

90

90

除以

290 = 45 \cdot 2

= 2 \cdot 45

45

除以

345 = 15 \cdot 3

= 2 \cdot 3 \cdot 15

15

除以

315 = 5 \cdot 3

= 2 \cdot 3 \cdot 3 \cdot 5

2, 3, 5

都是质数，因此无法进一步因数分解

= 2 \cdot 3 \cdot 3 \cdot 5

将每个因子乘以它在

45

或

90

中出现的最多次数

= 3 \cdot 3 \cdot 5 \cdot 2

数字相乘:

3 \cdot 3 \cdot 5 \cdot 2 = 90

= 90

根据最小公倍数调整分式

将每个分子乘以其分母转变为最小公倍数所要乘以的同一数值

90

对于

\frac{396 0 ^{\circ} - 45 x}{45} :

将分母和分子乘以

2

\frac{396 0 ^{\circ} - 45 x}{45} = \frac{( 396 0 ^{\circ} - 45 x ) \cdot 2}{45 \cdot 2} = \frac{( 396 0 ^{\circ} - 45 x ) \cdot 2}{90}

= \frac{( 396 0 ^{\circ} - 45 x ) \cdot 2}{90} - \frac{- 18 0 ^{\circ} + 90 x}{90}

因为分母相等，所以合并分式:

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

= \frac{( 396 0 ^{\circ} - 45 x ) \cdot 2 - ( - 18 0 ^{\circ} + 90 x )}{90}

乘开

(396 0^{\circ} - 45 x) \cdot 2 - (- 18 0^{\circ} + 90 x) : - 180 x + 810 0^{\circ}

(396 0^{\circ} - 45 x) \cdot 2 - (- 18 0^{\circ} + 90 x)

= 2 (396 0^{\circ} - 45 x) - (- 18 0^{\circ} + 90 x)

乘开

2 (396 0^{\circ} - 45 x) : 792 0^{\circ} - 90 x

2 (396 0^{\circ} - 45 x)

使用分配律:

a (b - c) = ab - a c

a = 2, b = 396 0^{\circ}, c = 45 x

= 2 \cdot 396 0^{\circ} - 2 \cdot 45 x

化简

2 \cdot 396 0^{\circ} - 2 \cdot 45 x : 792 0^{\circ} - 90 x

2 \cdot 396 0^{\circ} - 2 \cdot 45 x

数字相乘:

2 \cdot 22 = 44

= 792 0^{\circ} - 2 \cdot 45 x

数字相乘:

2 \cdot 45 = 90

= 792 0^{\circ} - 90 x

= 792 0^{\circ} - 90 x

= 792 0^{\circ} - 90 x - (- 18 0^{\circ} + 90 x)

- (- 18 0^{\circ} + 90 x) : 18 0^{\circ} - 90 x

- (- 18 0^{\circ} + 90 x)

打开括号

= - (- 18 0^{\circ}) - (90 x)

使用加减运算法则

- (- a) = a, - (a) = - a

= 18 0^{\circ} - 90 x

= 792 0^{\circ} - 90 x + 18 0^{\circ} - 90 x

化简

792 0^{\circ} - 90 x + 18 0^{\circ} - 90 x : - 180 x + 810 0^{\circ}

792 0^{\circ} - 90 x + 18 0^{\circ} - 90 x

对同类项分组

= - 90 x - 90 x + 792 0^{\circ} + 18 0^{\circ}

同类项相加:

- 90 x - 90 x = - 180 x

= - 180 x + 792 0^{\circ} + 18 0^{\circ}

同类项相加:

792 0^{\circ} + 18 0^{\circ} = 810 0^{\circ}

= - 180 x + 810 0^{\circ}

= - 180 x + 810 0^{\circ}

= \frac{- 180 x + 810 0 ^{\circ}}{90}

分解

- 180 x + 810 0^{\circ} : 45 (- 4 x + 18 0^{\circ})

- 180 x + 810 0^{\circ}

改写为

= - 45 \cdot 4 x + 810 0^{\circ}

因式分解出通项

45

= 45 (- 4 x + 18 0^{\circ})

= \frac{45 ( - 4 x + 18 0 ^{\circ} )}{90}

约分:

45

= \frac{- 4 x + 18 0 ^{\circ}}{2}

= \frac{\frac{- 4 x + 18 0 ^{\circ}}{2}}{2}

使用分式法则:

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

= \frac{- 4 x + 18 0 ^{\circ}}{2 \cdot 2}

数字相乘:

2 \cdot 2 = 4

= \frac{- 4 x + 18 0 ^{\circ}}{4}

= - 2 sin (4 3^{\circ}) sin (\frac{- 4 x + 18 0 ^{\circ}}{4})

= - 2 sin (4 3^{\circ}) sin (\frac{- 4 x + 18 0 ^{\circ}}{4})

- 2 sin (4 3^{\circ}) sin (\frac{- 4 x + 18 0 ^{\circ}}{4}) = 0

两边除以

- 2 sin (4 3^{\circ})

- 2 sin (4 3^{\circ}) sin (\frac{- 4 x + 18 0 ^{\circ}}{4}) = 0

两边除以

- 2 sin (4 3^{\circ})

\frac{- 2 sin ( 4 3 ^{\circ} ) sin ( \frac{- 4 x + 18 0 ^{\circ}}{4} )}{- 2 sin ( 4 3 ^{\circ} )} = \frac{0}{- 2 sin ( 4 3 ^{\circ} )}

化简

sin (\frac{- 4 x + 18 0 ^{\circ}}{4}) = 0

sin (\frac{- 4 x + 18 0 ^{\circ}}{4}) = 0

sin (\frac{- 4 x + 18 0 ^{\circ}}{4}) = 0

的通解

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

\frac{- 4 x + 18 0 ^{\circ}}{4} = 0 + 36 0^{\circ} n, \frac{- 4 x + 18 0 ^{\circ}}{4} = 18 0^{\circ} + 36 0^{\circ} n

\frac{- 4 x + 18 0 ^{\circ}}{4} = 0 + 36 0^{\circ} n, \frac{- 4 x + 18 0 ^{\circ}}{4} = 18 0^{\circ} + 36 0^{\circ} n

解

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

\frac{- 4 x + 18 0 ^{\circ}}{4} = 0 + 36 0^{\circ} n

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

\frac{- 4 x + 18 0 ^{\circ}}{4} = 36 0^{\circ} n

在两边乘以

4

\frac{- 4 x + 18 0 ^{\circ}}{4} = 36 0^{\circ} n

在两边乘以

4

\frac{4 ( - 4 x + 18 0 ^{\circ} )}{4} = 4 \cdot 36 0^{\circ} n

化简

- 4 x + 18 0^{\circ} = 144 0^{\circ} n

- 4 x + 18 0^{\circ} = 144 0^{\circ} n

将

18 0^{\circ}

到右边

- 4 x + 18 0^{\circ} = 144 0^{\circ} n

两边减去

18 0^{\circ}

- 4 x + 18 0^{\circ} - 18 0^{\circ} = 144 0^{\circ} n - 18 0^{\circ}

化简

- 4 x = 144 0^{\circ} n - 18 0^{\circ}

- 4 x = 144 0^{\circ} n - 18 0^{\circ}

两边除以

- 4

- 4 x = 144 0^{\circ} n - 18 0^{\circ}

两边除以

- 4

\frac{- 4 x}{- 4} = \frac{144 0 ^{\circ} n}{- 4} - \frac{18 0 ^{\circ}}{- 4}

化简

\frac{- 4 x}{- 4} = \frac{144 0 ^{\circ} n}{- 4} - \frac{18 0 ^{\circ}}{- 4}

化简

\frac{- 4 x}{- 4} : x

\frac{- 4 x}{- 4}

使用分式法则:

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

= \frac{4 x}{4}

数字相除:

\frac{4}{4} = 1

= x

化简

\frac{144 0 ^{\circ} n}{- 4} - \frac{18 0 ^{\circ}}{- 4} : - 36 0^{\circ} n + 4 5^{\circ}

\frac{144 0 ^{\circ} n}{- 4} - \frac{18 0 ^{\circ}}{- 4}

\frac{144 0 ^{\circ} n}{- 4} = - 36 0^{\circ} n

\frac{144 0 ^{\circ} n}{- 4}

使用分式法则:

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

= - \frac{144 0 ^{\circ} n}{4}

数字相除:

\frac{8}{4} = 2

= - 36 0^{\circ} n

= - 36 0^{\circ} n - \frac{18 0 ^{\circ}}{- 4}

使用分式法则:

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

= - 36 0^{\circ} n - (- 4 5^{\circ})

使用法则

- (- a) = a

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

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

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

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

解

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

\frac{- 4 x + 18 0 ^{\circ}}{4} = 18 0^{\circ} + 36 0^{\circ} n

在两边乘以

4

\frac{- 4 x + 18 0 ^{\circ}}{4} = 18 0^{\circ} + 36 0^{\circ} n

在两边乘以

4

\frac{4 ( - 4 x + 18 0 ^{\circ} )}{4} = 72 0^{\circ} + 4 \cdot 36 0^{\circ} n

化简

- 4 x + 18 0^{\circ} = 72 0^{\circ} + 144 0^{\circ} n

- 4 x + 18 0^{\circ} = 72 0^{\circ} + 144 0^{\circ} n

将

18 0^{\circ}

到右边

- 4 x + 18 0^{\circ} = 72 0^{\circ} + 144 0^{\circ} n

两边减去

18 0^{\circ}

- 4 x + 18 0^{\circ} - 18 0^{\circ} = 72 0^{\circ} + 144 0^{\circ} n - 18 0^{\circ}

化简

- 4 x = 54 0^{\circ} + 144 0^{\circ} n

- 4 x = 54 0^{\circ} + 144 0^{\circ} n

两边除以

- 4

- 4 x = 54 0^{\circ} + 144 0^{\circ} n

两边除以

- 4

\frac{- 4 x}{- 4} = \frac{54 0 ^{\circ}}{- 4} + \frac{144 0 ^{\circ} n}{- 4}

化简

\frac{- 4 x}{- 4} = \frac{54 0 ^{\circ}}{- 4} + \frac{144 0 ^{\circ} n}{- 4}

化简

\frac{- 4 x}{- 4} : x

\frac{- 4 x}{- 4}

使用分式法则:

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

= \frac{4 x}{4}

数字相除:

\frac{4}{4} = 1

= x

化简

\frac{54 0 ^{\circ}}{- 4} + \frac{144 0 ^{\circ} n}{- 4} : - 13 5^{\circ} - 36 0^{\circ} n

\frac{54 0 ^{\circ}}{- 4} + \frac{144 0 ^{\circ} n}{- 4}

使用分式法则:

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

= - 13 5^{\circ} + \frac{144 0 ^{\circ} n}{- 4}

\frac{144 0 ^{\circ} n}{- 4} = - 36 0^{\circ} n

\frac{144 0 ^{\circ} n}{- 4}

使用分式法则:

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

= - \frac{144 0 ^{\circ} n}{4}

数字相除:

\frac{8}{4} = 2

= - 36 0^{\circ} n

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

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

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

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

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

作图

流行的例子

cos (x) = \frac{2}{6}

0=-6(sin(t))+7(cos(t))

0 = - 6 (sin (t)) + 7 (cos (t))

sec(θ)-sqrt(2)=0,0<= θ<= 2pi

sec (θ) - 2 = 0, 0 \leq θ \leq 2 π

1+cot^2(x)=csc(x)

1 + cot^{2} (x) = csc (x)

cos(θ)= 7/(3sqrt(17))

cos (θ) = \frac{7}{3 17}