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受欢迎的三角函数 >

20=15cos(x)*2,47

解答

20 = 15 cos (x) \cdot 2, 47

解答

x \in R 无解

求解步骤

20 = 15 cos (x) \cdot 2, 47

交换两边

15 cos (x) \cdot 2 = 20

两边除以

15 \cdot 2

15 cos (x) \cdot 2 = 20

两边除以

15 \cdot 2

\frac{15 cos ( x ) \cdot 2}{15 \cdot 2} = \frac{20}{15 \cdot 2}

化简

\frac{15 cos ( x ) \cdot 2}{15 \cdot 2} = \frac{20}{15 \cdot 2}

化简

\frac{15 cos ( x ) \cdot 2}{15 \cdot 2} : cos (x)

\frac{15 cos ( x ) \cdot 2}{15 \cdot 2}

数字相乘:

15 \cdot 2 = 30

= \frac{30 cos ( x )}{30}

数字相除:

\frac{30}{30} = 1

= cos (x)

化简

\frac{20}{15 \cdot 2} : \frac{2}{3}

\frac{20}{15 \cdot 2}

数字相乘:

15 \cdot 2 = 30

= \frac{20}{30}

约分:

10

= \frac{2}{3}

cos (x) = \frac{2}{3}

cos (x) = \frac{2}{3}

cos (x) = \frac{2}{3}

使用反三角函数性质

cos (x) = \frac{2}{3}

cos (x) = \frac{2}{3}

的通解

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = 2 π - arccos (a) + 2 πn

x = arccos (\frac{2}{3}) + 2 πn, x = 2 π - arccos (\frac{2}{3}) + 2 πn

x = arccos (\frac{2}{3}) + 2 πn, x = 2 π - arccos (\frac{2}{3}) + 2 πn

在

47

范围内的解

x \in R 无解

作图

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