zs

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

受欢迎的三角函数 >

sqrt(3)sec(x)+2=0

解答

3 sec (x) + 2 = 0

解答

x = \frac{5 π}{6} + 2 πn, x = \frac{7 π}{6} + 2 πn

+1

度数

x = 15 0^{\circ} + 36 0^{\circ} n, x = 21 0^{\circ} + 36 0^{\circ} n

求解步骤

3 sec (x) + 2 = 0

将

2

到右边

3 sec (x) + 2 = 0

两边减去

2

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

化简

3 sec (x) = - 2

3 sec (x) = - 2

两边除以

3

3 sec (x) = - 2

两边除以

3

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

化简

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

化简

\frac{3 sec ( x )}{3} : sec (x)

\frac{3 sec ( x )}{3}

约分:

3

= sec (x)

化简

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

\frac{- 2}{3}

使用分式法则:

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

= - \frac{2}{3}

- \frac{2}{3}

有理化:

- \frac{2 3}{3}

- \frac{2}{3}

乘以共轭根式

\frac{3}{3}

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

33 = 3

33

使用根式运算法则:

a a = a

33 = 3

= 3

= - \frac{2 3}{3}

= - \frac{2 3}{3}

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

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

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

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

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{5 π}{6} + 2 πn, x = \frac{7 π}{6} + 2 πn

x = \frac{5 π}{6} + 2 πn, x = \frac{7 π}{6} + 2 πn

作图

流行的例子

sin(x)+cos(x)=3

sin (x) + cos (x) = 3

sin^{2} (θ) = \frac{3}{4}

2sin^2(x)+5cos(x)=4

2 sin^{2} (x) + 5 cos (x) = 4

-sin(x)+cos(2x)=1

- sin (x) + cos (2 x) = 1

tan (θ) = - 3