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受欢迎的三角函数 >

60*pi/(180)=2arctan(x/(17))

解答

60 \cdot \frac{π}{180} = 2 arctan (\frac{x}{17})

解答

x = \frac{17}{3}

求解步骤

60 \cdot \frac{π}{180} = 2 arctan (\frac{x}{17})

交换两边

2 arctan (\frac{x}{17}) = 60 \cdot \frac{π}{180}

两边除以

2

2 arctan (\frac{x}{17}) = 60 \cdot \frac{π}{180}

两边除以

2

\frac{2 arctan ( \frac{x}{17} )}{2} = \frac{60 \cdot \frac{π}{180}}{2}

化简

\frac{2 arctan ( \frac{x}{17} )}{2} = \frac{60 \cdot \frac{π}{180}}{2}

化简

\frac{2 arctan ( \frac{x}{17} )}{2} : arctan (\frac{x}{17})

\frac{2 arctan ( \frac{x}{17} )}{2}

数字相除:

\frac{2}{2} = 1

= arctan (\frac{x}{17})

化简

\frac{60 \cdot \frac{π}{180}}{2} : \frac{π}{6}

\frac{60 \cdot \frac{π}{180}}{2}

乘

60 \cdot \frac{π}{180} : \frac{π}{3}

60 \cdot \frac{π}{180}

分式相乘:

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

= \frac{π 60}{180}

约分:

60

= \frac{π}{3}

= \frac{\frac{π}{3}}{2}

使用分式法则:

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

= \frac{π}{3 \cdot 2}

数字相乘:

3 \cdot 2 = 6

= \frac{π}{6}

arctan (\frac{x}{17}) = \frac{π}{6}

arctan (\frac{x}{17}) = \frac{π}{6}

arctan (\frac{x}{17}) = \frac{π}{6}

使用反三角函数性质

arctan (\frac{x}{17}) = \frac{π}{6}

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

\frac{x}{17} = tan (\frac{π}{6})

tan (\frac{π}{6}) = \frac{3}{3}

tan (\frac{π}{6})

使用以下普通恒等式:

tan (\frac{π}{6}) = \frac{3}{3}

tan (\frac{π}{6})

tan (x)

周期表（周期为

πn

）：

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} tan (x) 0 \frac{3}{3} 13 \pm \infty - 3 - 1 - \frac{3}{3}

= \frac{3}{3}

= \frac{3}{3}

\frac{x}{17} = \frac{3}{3}

\frac{x}{17} = \frac{3}{3}

解

\frac{x}{17} = \frac{3}{3} : x = \frac{17}{3}

\frac{x}{17} = \frac{3}{3}

使用根式运算法则:

a = a a

3 = 33

\frac{x}{17} = \frac{3}{3 3}

约分:

3

\frac{x}{17} = \frac{1}{3}

在两边乘以

17

\frac{x}{17} = \frac{1}{3}

在两边乘以

17

\frac{17 x}{17} = \frac{1 \cdot 17}{3}

化简

\frac{17 x}{17} = \frac{1 \cdot 17}{3}

化简

\frac{17 x}{17} : x

\frac{17 x}{17}

数字相除:

\frac{17}{17} = 1

= x

化简

\frac{1 \cdot 17}{3} : \frac{17}{3}

\frac{1 \cdot 17}{3}

数字相乘:

1 \cdot 17 = 17

= \frac{17}{3}

x = \frac{17}{3}

x = \frac{17}{3}

x = \frac{17}{3}

x = \frac{17}{3}

作图

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