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=34641

解答

2 tan (2 x) - 10 = 34641

解答

x = \frac{1.57073 \dots}{2} + \frac{πn}{2}

+1

度数

x = 44.99834 \dots^{\circ} + 9 0^{\circ} n

求解步骤

2 tan (2 x) - 10 = 34641

将

10

到右边

2 tan (2 x) - 10 = 34641

两边加上

10

2 tan (2 x) - 10 + 10 = 34641 + 10

化简

2 tan (2 x) = 34651

2 tan (2 x) = 34651

两边除以

2

2 tan (2 x) = 34651

两边除以

2

\frac{2 tan ( 2 x )}{2} = \frac{34651}{2}

化简

tan (2 x) = \frac{34651}{2}

tan (2 x) = \frac{34651}{2}

使用反三角函数性质

tan (2 x) = \frac{34651}{2}

tan (2 x) = \frac{34651}{2}

的通解

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

2 x = arctan (\frac{34651}{2}) + πn

2 x = arctan (\frac{34651}{2}) + πn

解

2 x = arctan (\frac{34651}{2}) + πn : x = \frac{arctan ( \frac{34651}{2} )}{2} + \frac{πn}{2}

2 x = arctan (\frac{34651}{2}) + πn

两边除以

2

2 x = arctan (\frac{34651}{2}) + πn

两边除以

2

\frac{2 x}{2} = \frac{arctan ( \frac{34651}{2} )}{2} + \frac{πn}{2}

化简

x = \frac{arctan ( \frac{34651}{2} )}{2} + \frac{πn}{2}

x = \frac{arctan ( \frac{34651}{2} )}{2} + \frac{πn}{2}

x = \frac{arctan ( \frac{34651}{2} )}{2} + \frac{πn}{2}

以小数形式表示解

x = \frac{1.57073 \dots}{2} + \frac{πn}{2}

作图

流行的例子

cos (θ) = 0.5747

0=(110cos(377t))/8

0 = \frac{110 cos ( 377 t )}{8}

sin (2 x + 3) = 0.5

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

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

solvefor x,4sin(x)cos(x)=1

so l v e f or x, 4 sin (x) cos (x) = 1