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受欢迎的三角函数 >

2sec(x)+4=0

解答

2 sec (x) + 4 = 0

解答

x = \frac{2 π}{3} + 2 πn, x = \frac{4 π}{3} + 2 πn

+1

度数

x = 12 0^{\circ} + 36 0^{\circ} n, x = 24 0^{\circ} + 36 0^{\circ} n

求解步骤

2 sec (x) + 4 = 0

将

4

到右边

2 sec (x) + 4 = 0

两边减去

4

2 sec (x) + 4 - 4 = 0 - 4

化简

2 sec (x) = - 4

2 sec (x) = - 4

两边除以

2

2 sec (x) = - 4

两边除以

2

\frac{2 sec ( x )}{2} = \frac{- 4}{2}

化简

\frac{2 sec ( x )}{2} = \frac{- 4}{2}

化简

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

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

数字相除:

\frac{2}{2} = 1

= sec (x)

化简

\frac{- 4}{2} : - 2

\frac{- 4}{2}

使用分式法则:

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

= - \frac{4}{2}

数字相除:

\frac{4}{2} = 2

= - 2

sec (x) = - 2

sec (x) = - 2

sec (x) = - 2

sec (x) = - 2

的通解

sec (x)

周期表（周期为

2 πn

）：

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} sec (x) 1 \frac{2 3}{3} 22 Undefined - 2 - 2 - \frac{2 3}{3} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} sec (x) - 1 - \frac{2 3}{3} - 2 - 2 Undefined 22 \frac{2 3}{3}

x = \frac{2 π}{3} + 2 πn, x = \frac{4 π}{3} + 2 πn

x = \frac{2 π}{3} + 2 πn, x = \frac{4 π}{3} + 2 πn

作图

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