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受欢迎的三角函数 >

-1=sin(4.18879x)

解答

- 1 = sin (4.18879 x)

解答

x = \frac{3 π}{8.37758} + \frac{2 πn}{4.18879}

+1

度数

x = 64.45775 \dots^{\circ} + 85.94367 \dots^{\circ} n

求解步骤

- 1 = sin (4.18879 x)

交换两边

sin (4.18879 x) = - 1

sin (4.18879 x) = - 1

的通解

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}

4.18879 x = \frac{3 π}{2} + 2 πn

4.18879 x = \frac{3 π}{2} + 2 πn

解

4.18879 x = \frac{3 π}{2} + 2 πn : x = \frac{3 π}{8.37758} + \frac{2 πn}{4.18879}

4.18879 x = \frac{3 π}{2} + 2 πn

两边除以

4.18879

4.18879 x = \frac{3 π}{2} + 2 πn

两边除以

4.18879

\frac{4.18879 x}{4.18879} = \frac{\frac{3 π}{2}}{4.18879} + \frac{2 πn}{4.18879}

化简

\frac{4.18879 x}{4.18879} = \frac{\frac{3 π}{2}}{4.18879} + \frac{2 πn}{4.18879}

化简

\frac{4.18879 x}{4.18879} : x

\frac{4.18879 x}{4.18879}

约分:

4.18879

= x

化简

\frac{\frac{3 π}{2}}{4.18879} + \frac{2 πn}{4.18879} : \frac{3 π}{8.37758} + \frac{2 πn}{4.18879}

\frac{\frac{3 π}{2}}{4.18879} + \frac{2 πn}{4.18879}

\frac{\frac{3 π}{2}}{4.18879} = \frac{3 π}{8.37758}

\frac{\frac{3 π}{2}}{4.18879}

使用分式法则:

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

= \frac{3 π}{2 \cdot 4.18879}

数字相乘:

2 \cdot 4.18879 = 8.37758

= \frac{3 π}{8.37758}

= \frac{3 π}{8.37758} + \frac{2 πn}{4.18879}

x = \frac{3 π}{8.37758} + \frac{2 πn}{4.18879}

x = \frac{3 π}{8.37758} + \frac{2 πn}{4.18879}

x = \frac{3 π}{8.37758} + \frac{2 πn}{4.18879}

x = \frac{3 π}{8.37758} + \frac{2 πn}{4.18879}

作图

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