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受欢迎的三角函数 >

3-2csc(x)=17

解答

3 - 2 csc (x) = 17

解答

x = - 0.14334 \dots + 2 πn, x = π + 0.14334 \dots + 2 πn

+1

度数

x = - 8.21321 \dots^{\circ} + 36 0^{\circ} n, x = 188.21321 \dots^{\circ} + 36 0^{\circ} n

求解步骤

3 - 2 csc (x) = 17

将

3

到右边

3 - 2 csc (x) = 17

两边减去

3

3 - 2 csc (x) - 3 = 17 - 3

化简

- 2 csc (x) = 14

- 2 csc (x) = 14

两边除以

- 2

- 2 csc (x) = 14

两边除以

- 2

\frac{- 2 csc ( x )}{- 2} = \frac{14}{- 2}

化简

\frac{- 2 csc ( x )}{- 2} = \frac{14}{- 2}

化简

\frac{- 2 csc ( x )}{- 2} : csc (x)

\frac{- 2 csc ( x )}{- 2}

使用分式法则:

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

= \frac{2 csc ( x )}{2}

数字相除:

\frac{2}{2} = 1

= csc (x)

化简

\frac{14}{- 2} : - 7

\frac{14}{- 2}

使用分式法则:

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

= - \frac{14}{2}

数字相除:

\frac{14}{2} = 7

= - 7

csc (x) = - 7

csc (x) = - 7

csc (x) = - 7

使用反三角函数性质

csc (x) = - 7

csc (x) = - 7

的通解

csc (x) = - a \Rightarrow x = arccsc (- a) + 2 πn, x = π + arccsc (a) + 2 πn

x = arccsc (- 7) + 2 πn, x = π + arccsc (7) + 2 πn

x = arccsc (- 7) + 2 πn, x = π + arccsc (7) + 2 πn

以小数形式表示解

x = - 0.14334 \dots + 2 πn, x = π + 0.14334 \dots + 2 πn

作图

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