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受欢迎的三角函数 >

1(sin(x)-0.3pi)+2=0

解答

1 (sin (x) - 0.3 π) + 2 = 0

解答

x \in R 无解

求解步骤

1 \cdot (sin (x) - 0.3 π) + 2 = 0

1 \cdot (sin (x) - 0.3 π) = sin (x) - 0.3 π

1 \cdot (sin (x) - 0.3 π)

乘以:

1 \cdot (sin (x) - 0.3 π) = (sin (x) - 0.3 π)

= sin (x) - 0.3 π

去除括号:

(a) = a

= sin (x) - 0.3 π

sin (x) - 0.3 π + 2 = 0

在两边乘以

10

sin (x) - 0.3 π + 2 = 0

To eliminate decimal points, multiply by 10 for every digit after the decimal pointThere is one digit to the right of the decimal point, therefore multiply by

10

sin (x) \cdot 10 - 0.3 π 10 + 2 \cdot 10 = 0 \cdot 10

整理后得

10 sin (x) - 3 π + 20 = 0

10 sin (x) - 3 π + 20 = 0

将

3 π

到右边

10 sin (x) - 3 π + 20 = 0

两边加上

3 π

10 sin (x) - 3 π + 20 + 3 π = 0 + 3 π

化简

10 sin (x) + 20 = 3 π

10 sin (x) + 20 = 3 π

将

20

到右边

10 sin (x) + 20 = 3 π

两边减去

20

10 sin (x) + 20 - 20 = 3 π - 20

化简

10 sin (x) = 3 π - 20

10 sin (x) = 3 π - 20

两边除以

10

10 sin (x) = 3 π - 20

两边除以

10

\frac{10 sin ( x )}{10} = \frac{3 π}{10} - \frac{20}{10}

化简

\frac{10 sin ( x )}{10} = \frac{3 π}{10} - \frac{20}{10}

化简

\frac{10 sin ( x )}{10} : sin (x)

\frac{10 sin ( x )}{10}

数字相除:

\frac{10}{10} = 1

= sin (x)

化简

\frac{3 π}{10} - \frac{20}{10} : \frac{3 π - 20}{10}

\frac{3 π}{10} - \frac{20}{10}

使用法则

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

= \frac{3 π - 20}{10}

sin (x) = \frac{3 π - 20}{10}

sin (x) = \frac{3 π - 20}{10}

sin (x) = \frac{3 π - 20}{10}

- 1 \leq sin (x) \leq 1

x \in R 无解

作图

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