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 >

3tan(2x+1)=2

解答

3 tan (2 x + 1) = 2

解答

x = \frac{0.58800 \dots}{2} + \frac{πn}{2} - \frac{1}{2}

+1

度数

x = - 11.80285 \dots^{\circ} + 9 0^{\circ} n

求解步骤

3 tan (2 x + 1) = 2

两边除以

3

3 tan (2 x + 1) = 2

两边除以

3

\frac{3 tan ( 2 x + 1 )}{3} = \frac{2}{3}

化简

tan (2 x + 1) = \frac{2}{3}

tan (2 x + 1) = \frac{2}{3}

使用反三角函数性质

tan (2 x + 1) = \frac{2}{3}

tan (2 x + 1) = \frac{2}{3}

的通解

tan (x) = a \Rightarrow x = arctan (a) + πn

2 x + 1 = arctan (\frac{2}{3}) + πn

2 x + 1 = arctan (\frac{2}{3}) + πn

解

2 x + 1 = arctan (\frac{2}{3}) + πn : x = \frac{arctan ( \frac{2}{3} )}{2} + \frac{πn}{2} - \frac{1}{2}

2 x + 1 = arctan (\frac{2}{3}) + πn

将

1

到右边

2 x + 1 = arctan (\frac{2}{3}) + πn

两边减去

1

2 x + 1 - 1 = arctan (\frac{2}{3}) + πn - 1

化简

2 x = arctan (\frac{2}{3}) + πn - 1

2 x = arctan (\frac{2}{3}) + πn - 1

两边除以

2

2 x = arctan (\frac{2}{3}) + πn - 1

两边除以

2

\frac{2 x}{2} = \frac{arctan ( \frac{2}{3} )}{2} + \frac{πn}{2} - \frac{1}{2}

化简

x = \frac{arctan ( \frac{2}{3} )}{2} + \frac{πn}{2} - \frac{1}{2}

x = \frac{arctan ( \frac{2}{3} )}{2} + \frac{πn}{2} - \frac{1}{2}

x = \frac{arctan ( \frac{2}{3} )}{2} + \frac{πn}{2} - \frac{1}{2}

以小数形式表示解

x = \frac{0.58800 \dots}{2} + \frac{πn}{2} - \frac{1}{2}

作图

流行的例子

tan(2x)-2=3tan(x)

tan (2 x) - 2 = 3 tan (x)

sin (x - \frac{π}{6}) = 0

arccot(x-2)=arccot(x-1)+arccot(x)

arccot (x - 2) = arccot (x - 1) + arccot (x)

arccos (2 x) = π

solvefor t,x=4sin(t)

so l v e f or t, x = 4 sin (t)