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受欢迎的三角函数 >

tan(2x)=-(-270-120)/(130)

解答

tan (2 x) = - \frac{- 270 - 120}{130}

解答

x = \frac{1.24904 \dots}{2} + \frac{πn}{2}

+1

弧度

x = \frac{1.24904 \dots}{2} + \frac{π}{2} n

求解步骤

tan (2 x) = - \frac{- 270 - 120}{130}

化简

- \frac{- 270 - 120}{130} : 3

- \frac{- 270 - 120}{130}

数字相减:

- 270 - 120 = - 390

= - \frac{- 390}{130}

使用分式法则:

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

= - (- \frac{390}{130})

数字相除:

\frac{390}{130} = 3

= - (- 3)

使用法则

- (- a) = a

= 3

使用反三角函数性质

tan (2 x) = 3

tan (2 x) = 3

的通解

tan (x) = a \Rightarrow x = arctan (a) + πn

2 x = arctan (3) + πn

2 x = arctan (3) + πn

解

2 x = arctan (3) + πn : x = \frac{arctan ( 3 )}{2} + \frac{πn}{2}

2 x = arctan (3) + πn

两边除以

2

2 x = arctan (3) + πn

两边除以

2

\frac{2 x}{2} = \frac{arctan ( 3 )}{2} + \frac{πn}{2}

化简

x = \frac{arctan ( 3 )}{2} + \frac{πn}{2}

x = \frac{arctan ( 3 )}{2} + \frac{πn}{2}

x = \frac{arctan ( 3 )}{2} + \frac{πn}{2}

以小数形式表示解

x = \frac{1.24904 \dots}{2} + \frac{πn}{2}

作图

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