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 >

3sec(-x)=4sec(x)+1

解答

3 sec (- x) = 4 sec (x) + 1

解答

x = π + 2 πn

+1

度数

x = 18 0^{\circ} + 36 0^{\circ} n

求解步骤

3 sec (- x) = 4 sec (x) + 1

使用三角恒等式改写

3 sec (- x) = 4 sec (x) + 1

3 sec (x) = 4 sec (x) + 1

3 sec (x) = 4 sec (x) + 1

两边减去

4 sec (x) + 1

- sec (x) - 1 = 0

将

1

到右边

- sec (x) - 1 = 0

两边加上

1

- sec (x) - 1 + 1 = 0 + 1

化简

- sec (x) = 1

- sec (x) = 1

两边除以

- 1

- sec (x) = 1

两边除以

- 1

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

化简

sec (x) = - 1

sec (x) = - 1

sec (x) = - 1

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 = π + 2 πn

x = π + 2 πn

作图

流行的例子

sin(2x)-2sin^2(x)=0

sin (2 x) - 2 sin^{2} (x) = 0

4sin(2x-0.4)-5cos(2x-0.4)=0

4 sin (2 x - 0.4) - 5 cos (2 x - 0.4) = 0

cos (x) = - \frac{15}{17}

sin (x) = \frac{4}{11}

cos (x) = 0.64