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受欢迎的三角函数 >

1/2 =sqrt(3/2)*cos(x)

解答

\frac{1}{2} = \frac{3}{2} \cdot cos (x)

解答

x = 1.15026 \dots + 2 πn, x = 2 π - 1.15026 \dots + 2 πn

+1

度数

x = 65.90515 \dots^{\circ} + 36 0^{\circ} n, x = 294.09484 \dots^{\circ} + 36 0^{\circ} n

求解步骤

\frac{1}{2} = \frac{3}{2} cos (x)

交换两边

\frac{3}{2} cos (x) = \frac{1}{2}

两边除以

\frac{3}{2}

\frac{3}{2} cos (x) = \frac{1}{2}

两边除以

\frac{3}{2}

\frac{\frac{3}{2} cos ( x )}{\frac{3}{2}} = \frac{\frac{1}{2}}{\frac{3}{2}}

化简

\frac{\frac{3}{2} cos ( x )}{\frac{3}{2}} = \frac{\frac{1}{2}}{\frac{3}{2}}

化简

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

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

约分:

\frac{3}{2}

= cos (x)

化简

\frac{\frac{1}{2}}{\frac{3}{2}} : \frac{6}{6}

\frac{\frac{1}{2}}{\frac{3}{2}}

使用分式法则:

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

= \frac{1}{2 \frac{3}{2}}

\frac{3}{2} = \frac{3}{2}

\frac{3}{2}

使用根式运算法则:

n \frac{a}{b} = \frac{n a}{n b},

假定

a \geq 0, b \geq 0

= \frac{3}{2}

= \frac{1}{2 \cdot \frac{3}{2}}

乘

2 \cdot \frac{3}{2} : 6

2 \cdot \frac{3}{2}

分式相乘:

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

= \frac{3 \cdot 2}{2}

使用根式运算法则:

n a = a^{\frac{1}{n}}

2 = 2^{\frac{1}{2}}

= \frac{2 3}{2 ^{\frac{1}{2}}}

使用指数法则:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

\frac{2 ^{1}}{2 ^{\frac{1}{2}}} = 2^{1 - \frac{1}{2}}

= 3 \cdot 2^{- \frac{1}{2} + 1}

数字相减:

1 - \frac{1}{2} = \frac{1}{2}

= 3 \cdot 2^{\frac{1}{2}}

使用根式运算法则:

a^{\frac{1}{n}} = n a

2^{\frac{1}{2}} = 2

= 32

使用根式运算法则:

a b = a \cdot b

32 = 3 \cdot 2

= 3 \cdot 2

数字相乘:

3 \cdot 2 = 6

= 6

= \frac{1}{6}

\frac{1}{6}

有理化:

\frac{6}{6}

\frac{1}{6}

乘以共轭根式

\frac{6}{6}

= \frac{1 \cdot 6}{6 6}

1 \cdot 6 = 6

66 = 6

66

使用根式运算法则:

a a = a

66 = 6

= 6

= \frac{6}{6}

= \frac{6}{6}

cos (x) = \frac{6}{6}

cos (x) = \frac{6}{6}

cos (x) = \frac{6}{6}

使用反三角函数性质

cos (x) = \frac{6}{6}

cos (x) = \frac{6}{6}

的通解

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

x = arccos (\frac{6}{6}) + 2 πn, x = 2 π - arccos (\frac{6}{6}) + 2 πn

x = arccos (\frac{6}{6}) + 2 πn, x = 2 π - arccos (\frac{6}{6}) + 2 πn

以小数形式表示解

x = 1.15026 \dots + 2 πn, x = 2 π - 1.15026 \dots + 2 πn

作图

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