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 >

2tan(2x+10)=-5.5

解答

2 tan (2 x + 10) = - 5.5

解答

x = - 5 + \frac{πn}{2} - \frac{1.22202 \dots}{2}

+1

度数

x = - 321.48734 \dots^{\circ} + 9 0^{\circ} n

求解步骤

2 tan (2 x + 10) = - 5.5

两边除以

2

2 tan (2 x + 10) = - 5.5

两边除以

2

\frac{2 tan ( 2 x + 10 )}{2} = \frac{- 5.5}{2}

化简

\frac{2 tan ( 2 x + 10 )}{2} = \frac{- 5.5}{2}

化简

\frac{2 tan ( 2 x + 10 )}{2} : tan (2 x + 10)

\frac{2 tan ( 2 x + 10 )}{2}

数字相除:

\frac{2}{2} = 1

= tan (2 x + 10)

化简

\frac{- 5.5}{2} : - 2.75

\frac{- 5.5}{2}

使用分式法则:

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

= - \frac{5.5}{2}

数字相除:

\frac{5.5}{2} = 2.75

= - 2.75

tan (2 x + 10) = - 2.75

tan (2 x + 10) = - 2.75

tan (2 x + 10) = - 2.75

使用反三角函数性质

tan (2 x + 10) = - 2.75

tan (2 x + 10) = - 2.75

的通解

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

2 x + 10 = arctan (- 2.75) + πn

2 x + 10 = arctan (- 2.75) + πn

解

2 x + 10 = arctan (- 2.75) + πn : x = - 5 + \frac{πn}{2} - \frac{arctan ( \frac{11}{4} )}{2}

2 x + 10 = arctan (- 2.75) + πn

化简

arctan (- 2.75) + πn : - arctan (\frac{11}{4}) + πn

arctan (- 2.75) + πn

arctan (- 2.75) = - arctan (\frac{11}{4})

arctan (- 2.75)

= arctan (- \frac{11}{4})

利用以下特性:

arctan (- x) = - arctan (x)

arctan (- \frac{11}{4}) = - arctan (\frac{11}{4})

= - arctan (\frac{11}{4})

= - arctan (\frac{11}{4}) + πn

2 x + 10 = - arctan (\frac{11}{4}) + πn

将

10

到右边

2 x + 10 = - arctan (\frac{11}{4}) + πn

两边减去

10

2 x + 10 - 10 = - arctan (\frac{11}{4}) + πn - 10

化简

2 x = - arctan (\frac{11}{4}) + πn - 10

2 x = - arctan (\frac{11}{4}) + πn - 10

两边除以

2

2 x = - arctan (\frac{11}{4}) + πn - 10

两边除以

2

\frac{2 x}{2} = - \frac{arctan ( \frac{11}{4} )}{2} + \frac{πn}{2} - \frac{10}{2}

化简

\frac{2 x}{2} = - \frac{arctan ( \frac{11}{4} )}{2} + \frac{πn}{2} - \frac{10}{2}

化简

\frac{2 x}{2} : x

\frac{2 x}{2}

数字相除:

\frac{2}{2} = 1

= x

化简

- \frac{arctan ( \frac{11}{4} )}{2} + \frac{πn}{2} - \frac{10}{2} : - 5 + \frac{πn}{2} - \frac{arctan ( \frac{11}{4} )}{2}

- \frac{arctan ( \frac{11}{4} )}{2} + \frac{πn}{2} - \frac{10}{2}

对同类项分组

= - \frac{10}{2} + \frac{πn}{2} - \frac{arctan ( \frac{11}{4} )}{2}

数字相除:

\frac{10}{2} = 5

= - 5 + \frac{πn}{2} - \frac{arctan ( \frac{11}{4} )}{2}

x = - 5 + \frac{πn}{2} - \frac{arctan ( \frac{11}{4} )}{2}

x = - 5 + \frac{πn}{2} - \frac{arctan ( \frac{11}{4} )}{2}

x = - 5 + \frac{πn}{2} - \frac{arctan ( \frac{11}{4} )}{2}

x = - 5 + \frac{πn}{2} - \frac{arctan ( \frac{11}{4} )}{2}

以小数形式表示解

x = - 5 + \frac{πn}{2} - \frac{1.22202 \dots}{2}

作图

流行的例子

(sqrt(3))/3 =-1/3*tan(θ)

tan(x+pi/3)=sqrt(3)

-9sin^2(x)-5cos(x)+5=0