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受欢迎的三角函数 >

((tan(x))/1)^{-1}=(20)/(9.7)

解答

(\frac{tan ( x )}{1})^{- 1} = \frac{20}{9.7}

解答

x = 0.45157 \dots + πn

+1

度数

x = 25.87338 \dots^{\circ} + 18 0^{\circ} n

求解步骤

(\frac{tan ( x )}{1})^{- 1} = \frac{20}{9.7}

整理后得

\frac{1}{tan ( x )} = \frac{20}{9.7}

使用分式交叉相乘

\frac{1}{tan ( x )} = \frac{20}{9.7}

使用分式交叉相乘: 若

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

则

a \cdot d = b \cdot c

1 \cdot 9.7 = tan (x) \cdot 20

化简

1 \cdot 9.7 : 9.7

1 \cdot 9.7

数字相乘:

1 \cdot 9.7 = 9.7

= 9.7

9.7 = tan (x) \cdot 20

9.7 = tan (x) \cdot 20

交换两边

tan (x) \cdot 20 = 9.7

两边除以

20

tan (x) \cdot 20 = 9.7

两边除以

20

\frac{tan ( x ) \cdot 20}{20} = \frac{9.7}{20}

化简

tan (x) = 0.485

tan (x) = 0.485

验证解

找到无定义的点（奇点）:

tan (x) = 0

取

(\frac{tan ( x )}{1})^{- 1}

的分母，令其等于零

解

\frac{tan ( x )}{1} = 0 : tan (x) = 0

\frac{tan ( x )}{1} = 0

使用法则

\frac{a}{1} = a

tan (x) = 0

以下点无定义

tan (x) = 0

将不在定义域的点与解相综合:

tan (x) = 0.485

使用反三角函数性质

tan (x) = 0.485

tan (x) = 0.485

的通解

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

x = arctan (0.485) + πn

x = arctan (0.485) + πn

以小数形式表示解

x = 0.45157 \dots + πn

作图

流行的例子

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