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 >

2cot(x)+3=0

解答

2 cot (x) + 3 = 0

解答

x = 2.55359 \dots + πn

+1

度数

x = 146.30993 \dots^{\circ} + 18 0^{\circ} n

求解步骤

2 cot (x) + 3 = 0

将

3

到右边

2 cot (x) + 3 = 0

两边减去

3

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

化简

2 cot (x) = - 3

2 cot (x) = - 3

两边除以

2

2 cot (x) = - 3

两边除以

2

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

化简

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

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

使用反三角函数性质

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

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

的通解

cot (x) = - a \Rightarrow x = arccot (- a) + πn

x = arccot (- \frac{3}{2}) + πn

x = arccot (- \frac{3}{2}) + πn

以小数形式表示解

x = 2.55359 \dots + πn

作图

流行的例子

cos(x+60)+sin(x)=0

cos (x + 6 0^{\circ}) + sin (x) = 0

sin(x)*cos(x)= 1/4

sin (x) \cdot cos (x) = \frac{1}{4}

sin(θ)=(-sqrt(3))/2 ,0<= θ<= 4pi

sin (θ) = \frac{- 3}{2}, 0 \leq θ \leq 4 π

4sin(θ)+4=(-3)/(sin(θ)-1)

4 sin (θ) + 4 = \frac{- 3}{sin ( θ ) - 1}

cos (θ) = 0.707