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 >

(cot(x)-sqrt(3))(csc(x)+2)=0

解答

(cot (x) - 3) (csc (x) + 2) = 0

解答

x = \frac{π}{6} + πn, x = \frac{11 π}{6} + 2 πn

+1

度数

x = 3 0^{\circ} + 18 0^{\circ} n, x = 33 0^{\circ} + 36 0^{\circ} n

求解步骤

(cot (x) - 3) (csc (x) + 2) = 0

分别求解每个部分

cot (x) - 3 = 0 or csc (x) + 2 = 0

cot (x) - 3 = 0 : x = \frac{π}{6} + πn

cot (x) - 3 = 0

将

3

到右边

cot (x) - 3 = 0

两边加上

3

cot (x) - 3 + 3 = 0 + 3

化简

cot (x) = 3

cot (x) = 3

cot (x) = 3

的通解

cot (x)

周期表（周期为

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} cot (x) \mp \infty 31 \frac{3}{3} 0 - \frac{3}{3} - 1 - 3

x = \frac{π}{6} + πn

x = \frac{π}{6} + πn

csc (x) + 2 = 0 : x = \frac{7 π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn

csc (x) + 2 = 0

将

2

到右边

csc (x) + 2 = 0

两边减去

2

csc (x) + 2 - 2 = 0 - 2

化简

csc (x) = - 2

csc (x) = - 2

csc (x) = - 2

的通解

csc (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} csc (x) Undefiend 22 \frac{2 3}{3} 1 \frac{2 3}{3} 22 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} csc (x) Undefiend - 2 - 2 - \frac{2 3}{3} - 1 - \frac{2 3}{3} - 2 - 2

x = \frac{7 π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn

x = \frac{7 π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn

合并所有解

x = \frac{π}{6} + πn, x = \frac{7 π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn

合并重叠的区间

x = \frac{π}{6} + πn, x = \frac{11 π}{6} + 2 πn

作图

流行的例子

sin(x)= 7/(9.4)

sin (x) = \frac{7}{9.4}

cos (x) = \frac{6}{11}

3cos^2(x)+5sin(x)-1=0

3 cos^{2} (x) + 5 sin (x) - 1 = 0

2cos^2(θ)=7cos(θ)-3

2 cos^{2} (θ) = 7 cos (θ) - 3

sin(θ)=(173/210)

sin (θ) = (\frac{173}{210})