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受欢迎的三角函数 >

2cos(x)= 1/2

解答

2 cos (x) = \frac{1}{2}

解答

x = 1.31811 \dots + 2 πn, x = 2 π - 1.31811 \dots + 2 πn

+1

度数

x = 75.52248 \dots^{\circ} + 36 0^{\circ} n, x = 284.47751 \dots^{\circ} + 36 0^{\circ} n

求解步骤

2 cos (x) = \frac{1}{2}

两边除以

2

2 cos (x) = \frac{1}{2}

两边除以

2

\frac{2 cos ( x )}{2} = \frac{\frac{1}{2}}{2}

化简

\frac{2 cos ( x )}{2} = \frac{\frac{1}{2}}{2}

化简

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

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

数字相除:

\frac{2}{2} = 1

= cos (x)

化简

\frac{\frac{1}{2}}{2} : \frac{1}{4}

\frac{\frac{1}{2}}{2}

使用分式法则:

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

= \frac{1}{2 \cdot 2}

数字相乘:

2 \cdot 2 = 4

= \frac{1}{4}

cos (x) = \frac{1}{4}

cos (x) = \frac{1}{4}

cos (x) = \frac{1}{4}

使用反三角函数性质

cos (x) = \frac{1}{4}

cos (x) = \frac{1}{4}

的通解

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

x = arccos (\frac{1}{4}) + 2 πn, x = 2 π - arccos (\frac{1}{4}) + 2 πn

x = arccos (\frac{1}{4}) + 2 πn, x = 2 π - arccos (\frac{1}{4}) + 2 πn

以小数形式表示解

x = 1.31811 \dots + 2 πn, x = 2 π - 1.31811 \dots + 2 πn

作图

流行的例子

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cos (x) = \frac{7}{12}

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