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受欢迎的三角函数 >

-arcsin(4x)= pi/4

解答

- arcsin (4 x) = \frac{π}{4}

解答

x = - \frac{1}{4 2}

求解步骤

- arcsin (4 x) = \frac{π}{4}

两边除以

- 1

- arcsin (4 x) = \frac{π}{4}

两边除以

- 1

\frac{- arcsin ( 4 x )}{- 1} = \frac{\frac{π}{4}}{- 1}

化简

\frac{- arcsin ( 4 x )}{- 1} = \frac{\frac{π}{4}}{- 1}

化简

\frac{- arcsin ( 4 x )}{- 1} : arcsin (4 x)

\frac{- arcsin ( 4 x )}{- 1}

使用分式法则:

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

= \frac{arcsin ( 4 x )}{1}

使用法则

\frac{a}{1} = a

= arcsin (4 x)

化简

\frac{\frac{π}{4}}{- 1} : - \frac{π}{4}

\frac{\frac{π}{4}}{- 1}

使用分式法则:

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

= - \frac{\frac{π}{4}}{1}

使用分式法则:

\frac{a}{1} = a

\frac{\frac{π}{4}}{1} = \frac{π}{4}

= - \frac{π}{4}

arcsin (4 x) = - \frac{π}{4}

arcsin (4 x) = - \frac{π}{4}

arcsin (4 x) = - \frac{π}{4}

使用反三角函数性质

arcsin (4 x) = - \frac{π}{4}

arcsin (x) = a \Rightarrow x = sin (a)

4 x = sin (- \frac{π}{4})

sin (- \frac{π}{4}) = - \frac{2}{2}

sin (- \frac{π}{4})

利用以下特性:

sin (- x) = - sin (x)

sin (- \frac{π}{4}) = - sin (\frac{π}{4})

= - sin (\frac{π}{4})

使用以下普通恒等式:

sin (\frac{π}{4}) = \frac{2}{2}

sin (\frac{π}{4})

sin (x)

周期表（周期为

2 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} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

= \frac{2}{2}

= - \frac{2}{2}

4 x = - \frac{2}{2}

4 x = - \frac{2}{2}

解

4 x = - \frac{2}{2} : x = - \frac{1}{4 2}

4 x = - \frac{2}{2}

使用根式运算法则:

a = a a

2 = 22

4 x = - \frac{2}{2 2}

约分:

2

4 x = - \frac{1}{2}

两边除以

4

4 x = - \frac{1}{2}

两边除以

4

\frac{4 x}{4} = \frac{- \frac{1}{2}}{4}

化简

\frac{4 x}{4} = \frac{- \frac{1}{2}}{4}

化简

\frac{4 x}{4} : x

\frac{4 x}{4}

数字相除:

\frac{4}{4} = 1

= x

化简

\frac{- \frac{1}{2}}{4} : - \frac{1}{4 2}

\frac{- \frac{1}{2}}{4}

使用分式法则:

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

= - \frac{\frac{1}{2}}{4}

使用分式法则:

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

\frac{\frac{1}{2}}{4} = \frac{1}{2 \cdot 4}

= - \frac{1}{2 \cdot 4}

x = - \frac{1}{4 2}

x = - \frac{1}{4 2}

x = - \frac{1}{4 2}

x = - \frac{1}{4 2}

作图

流行的例子

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