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 >

sec(2x+60)=-1.5

解答

sec (2 x + 60) = - 1.5

解答

x = - 30 + πn + \frac{2.30052 \dots}{2}, x = - 30 + πn - \frac{2.30052 \dots}{2}

+1

度数

x = - 1652.96822 \dots^{\circ} + 18 0^{\circ} n, x = - 1784.77854 \dots^{\circ} + 18 0^{\circ} n

求解步骤

sec (2 x + 60) = - 1.5

使用反三角函数性质

sec (2 x + 60) = - 1.5

sec (2 x + 60) = - 1.5

的通解

sec (x) = - a \Rightarrow x = arcsec (- a) + 2 πn, x = - arcsec (- a) + 2 πn

2 x + 60 = arcsec (- 1.5) + 2 πn, 2 x + 60 = - arcsec (- 1.5) + 2 πn

2 x + 60 = arcsec (- 1.5) + 2 πn, 2 x + 60 = - arcsec (- 1.5) + 2 πn

解

2 x + 60 = arcsec (- 1.5) + 2 πn : x = - 30 + πn + \frac{arcsec ( - 1.5 )}{2}

2 x + 60 = arcsec (- 1.5) + 2 πn

将

60

到右边

2 x + 60 = arcsec (- 1.5) + 2 πn

两边减去

60

2 x + 60 - 60 = arcsec (- 1.5) + 2 πn - 60

化简

2 x = arcsec (- 1.5) + 2 πn - 60

2 x = arcsec (- 1.5) + 2 πn - 60

两边除以

2

2 x = arcsec (- 1.5) + 2 πn - 60

两边除以

2

\frac{2 x}{2} = \frac{arcsec ( - 1.5 )}{2} + \frac{2 πn}{2} - \frac{60}{2}

化简

\frac{2 x}{2} = \frac{arcsec ( - 1.5 )}{2} + \frac{2 πn}{2} - \frac{60}{2}

化简

\frac{2 x}{2} : x

\frac{2 x}{2}

数字相除:

\frac{2}{2} = 1

= x

化简

\frac{arcsec ( - 1.5 )}{2} + \frac{2 πn}{2} - \frac{60}{2} : - 30 + πn + \frac{arcsec ( - 1.5 )}{2}

\frac{arcsec ( - 1.5 )}{2} + \frac{2 πn}{2} - \frac{60}{2}

对同类项分组

= - \frac{60}{2} + \frac{2 πn}{2} + \frac{arcsec ( - 1.5 )}{2}

数字相除:

\frac{60}{2} = 30

= - 30 + \frac{2 πn}{2} + \frac{arcsec ( - 1.5 )}{2}

数字相除:

\frac{2}{2} = 1

= - 30 + πn + \frac{arcsec ( - 1.5 )}{2}

x = - 30 + πn + \frac{arcsec ( - 1.5 )}{2}

x = - 30 + πn + \frac{arcsec ( - 1.5 )}{2}

x = - 30 + πn + \frac{arcsec ( - 1.5 )}{2}

解

2 x + 60 = - arcsec (- 1.5) + 2 πn : x = - 30 + πn - \frac{arcsec ( - 1.5 )}{2}

2 x + 60 = - arcsec (- 1.5) + 2 πn

将

60

到右边

2 x + 60 = - arcsec (- 1.5) + 2 πn

两边减去

60

2 x + 60 - 60 = - arcsec (- 1.5) + 2 πn - 60

化简

2 x = - arcsec (- 1.5) + 2 πn - 60

2 x = - arcsec (- 1.5) + 2 πn - 60

两边除以

2

2 x = - arcsec (- 1.5) + 2 πn - 60

两边除以

2

\frac{2 x}{2} = - \frac{arcsec ( - 1.5 )}{2} + \frac{2 πn}{2} - \frac{60}{2}

化简

\frac{2 x}{2} = - \frac{arcsec ( - 1.5 )}{2} + \frac{2 πn}{2} - \frac{60}{2}

化简

\frac{2 x}{2} : x

\frac{2 x}{2}

数字相除:

\frac{2}{2} = 1

= x

化简

- \frac{arcsec ( - 1.5 )}{2} + \frac{2 πn}{2} - \frac{60}{2} : - 30 + πn - \frac{arcsec ( - 1.5 )}{2}

- \frac{arcsec ( - 1.5 )}{2} + \frac{2 πn}{2} - \frac{60}{2}

对同类项分组

= - \frac{60}{2} + \frac{2 πn}{2} - \frac{arcsec ( - 1.5 )}{2}

数字相除:

\frac{60}{2} = 30

= - 30 + \frac{2 πn}{2} - \frac{arcsec ( - 1.5 )}{2}

数字相除:

\frac{2}{2} = 1

= - 30 + πn - \frac{arcsec ( - 1.5 )}{2}

x = - 30 + πn - \frac{arcsec ( - 1.5 )}{2}

x = - 30 + πn - \frac{arcsec ( - 1.5 )}{2}

x = - 30 + πn - \frac{arcsec ( - 1.5 )}{2}

x = - 30 + πn + \frac{arcsec ( - 1.5 )}{2}, x = - 30 + πn - \frac{arcsec ( - 1.5 )}{2}

以小数形式表示解

x = - 30 + πn + \frac{2.30052 \dots}{2}, x = - 30 + πn - \frac{2.30052 \dots}{2}

作图

流行的例子

sin^2(x)+2sin^2(x/2)=1

sin^{2} (x) + 2 sin^{2} (\frac{x}{2}) = 1

tan (a) = 0.7

8sin(x)-4csc(x)=0

8 sin (x) - 4 csc (x) = 0

6cos^2(x)+5sin(x)-2=0

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

(tan^2(b)+1)/(tan(b))=csc^2(b)

\frac{tan ^{2} ( b ) + 1}{tan ( b )} = csc^{2} (b)