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受欢迎的三角函数 >

5-9cos(x)=0

解答

5 - 9 cos (x) = 0

解答

x = 0.98176 \dots + 2 πn, x = 2 π - 0.98176 \dots + 2 πn

+1

度数

x = 56.25101 \dots^{\circ} + 36 0^{\circ} n, x = 303.74898 \dots^{\circ} + 36 0^{\circ} n

求解步骤

5 - 9 cos (x) = 0

将

5

到右边

5 - 9 cos (x) = 0

两边减去

5

5 - 9 cos (x) - 5 = 0 - 5

化简

- 9 cos (x) = - 5

- 9 cos (x) = - 5

两边除以

- 9

- 9 cos (x) = - 5

两边除以

- 9

\frac{- 9 cos ( x )}{- 9} = \frac{- 5}{- 9}

化简

cos (x) = \frac{5}{9}

cos (x) = \frac{5}{9}

使用反三角函数性质

cos (x) = \frac{5}{9}

cos (x) = \frac{5}{9}

的通解

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

x = arccos (\frac{5}{9}) + 2 πn, x = 2 π - arccos (\frac{5}{9}) + 2 πn

x = arccos (\frac{5}{9}) + 2 πn, x = 2 π - arccos (\frac{5}{9}) + 2 πn

以小数形式表示解

x = 0.98176 \dots + 2 πn, x = 2 π - 0.98176 \dots + 2 πn

作图

流行的例子

cot(x)+tan(x)=1

2cos(x)-3sin(x)=-2

tan(x)=2-cot(x)