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受欢迎的三角函数 >

-3/2 =-1/2 sec(x)

解答

- \frac{3}{2} = - \frac{1}{2} sec (x)

解答

x = 1.23095 \dots + 2 πn, x = 2 π - 1.23095 \dots + 2 πn

+1

度数

x = 70.52877 \dots^{\circ} + 36 0^{\circ} n, x = 289.47122 \dots^{\circ} + 36 0^{\circ} n

求解步骤

- \frac{3}{2} = - \frac{1}{2} sec (x)

交换两边

- \frac{1}{2} sec (x) = - \frac{3}{2}

在两边乘以

- 2

- \frac{1}{2} sec (x) = - \frac{3}{2}

在两边乘以

- 2

(- \frac{1}{2} sec (x)) (- 2) = (- \frac{3}{2}) (- 2)

化简

(- \frac{1}{2} sec (x)) (- 2) = (- \frac{3}{2}) (- 2)

化简

(- \frac{1}{2} sec (x)) (- 2) : sec (x)

(- \frac{1}{2} sec (x)) (- 2)

去除括号:

(- a) = - a, - (- a) = a

= \frac{1}{2} sec (x) \cdot 2

分式相乘:

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

= \frac{1 \cdot 2}{2} sec (x)

约分:

2

= sec (x) \cdot 1

乘以:

sec (x) \cdot 1 = sec (x)

= sec (x)

化简

(- \frac{3}{2}) (- 2) : 3

(- \frac{3}{2}) (- 2)

去除括号:

(- a) = - a, - (- a) = a

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

分式相乘:

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

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

约分:

2

= 3

sec (x) = 3

sec (x) = 3

sec (x) = 3

使用反三角函数性质

sec (x) = 3

sec (x) = 3

的通解

sec (x) = a \Rightarrow x = arcsec (a) + 2 πn, x = 2 π - arcsec (a) + 2 πn

x = arcsec (3) + 2 πn, x = 2 π - arcsec (3) + 2 πn

x = arcsec (3) + 2 πn, x = 2 π - arcsec (3) + 2 πn

以小数形式表示解

x = 1.23095 \dots + 2 πn, x = 2 π - 1.23095 \dots + 2 πn

作图

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