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受欢迎的三角函数 >

cos(x)=-(22)/(7.28*sqrt(20))

解答

cos (x) = - \frac{22}{7.28 \cdot 20}

解答

x = 2.31275 \dots + 2 πn, x = - 2.31275 \dots + 2 πn

+1

弧度

x = 2.31275 \dots + 6.28318 \dots n, x = - 2.31275 \dots + 6.28318 \dots n

求解步骤

cos (x) = - \frac{22}{7.28 20}

化简

- \frac{22}{7.28 20} : - \frac{11 5}{36.4}

- \frac{22}{7.28 20}

消掉

\frac{22}{7.28 20} : \frac{11}{5 \cdot 7.28}

\frac{22}{7.28 20}

分解

22 : 2 \cdot 11

因式分解

22 = 2 \cdot 11

分解

20 : 25

因式分解

20 = 2^{2} \cdot 5

= 2^{2} \cdot 5

使用根式运算法则:

n ab = n a n b

= 5 2^{2}

化简

2^{2} : 2

2^{2}

使用根式运算法则:

n a^{n} = a,

假定

a \geq 0

= 2

= 25

= \frac{2 \cdot 11}{2 5 \cdot 7.28}

数字相除:

\frac{2}{2} = 1

= \frac{11}{5 \cdot 7.28}

= - \frac{11}{5 \cdot 7.28}

- \frac{11}{5 \cdot 7.28}

有理化:

- \frac{11 5}{36.4}

- \frac{11}{5 \cdot 7.28}

乘以共轭根式

\frac{5}{5}

= - \frac{11 5}{5 \cdot 7.28 5}

5 \cdot 7.28 5 = 36.4

5 \cdot 7.28 5

使用根式运算法则:

a a = a

55 = 5

= 5 \cdot 7.28

数字相乘:

7.28 \cdot 5 = 36.4

= 36.4

= - \frac{11 5}{36.4}

= - \frac{11 5}{36.4}

cos (x) = - \frac{11 5}{36.4}

使用反三角函数性质

cos (x) = - \frac{11 5}{36.4}

cos (x) = - \frac{11 5}{36.4}

的通解

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

x = arccos (- \frac{11 5}{36.4}) + 2 πn, x = - arccos (- \frac{11 5}{36.4}) + 2 πn

x = arccos (- \frac{11 5}{36.4}) + 2 πn, x = - arccos (- \frac{11 5}{36.4}) + 2 πn

以小数形式表示解

x = 2.31275 \dots + 2 πn, x = - 2.31275 \dots + 2 πn

作图

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