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 >

-120=-90-arctan(0.1)+arctan(0.1x)

解答

- 120 = - 90 - arctan (0.1) + arctan (0.1 x)

解答

x \in R 无解

求解步骤

- 120 = - 90 - arctan (0.1) + arctan (0.1 x)

交换两边

- 90 - arctan (0.1) + arctan (0.1 x) = - 120

arctan (0.1) = arctan (\frac{1}{10})

arctan (0.1)

- 90 - arctan (\frac{1}{10}) + arctan (0.1 x) = - 120

将

90

到右边

- 90 - arctan (\frac{1}{10}) + arctan (0.1 x) = - 120

两边加上

90

- 90 - arctan (\frac{1}{10}) + arctan (0.1 x) + 90 = - 120 + 90

化简

- arctan (\frac{1}{10}) + arctan (0.1 x) = - 30

- arctan (\frac{1}{10}) + arctan (0.1 x) = - 30

将

arctan (\frac{1}{10})

到右边

- arctan (\frac{1}{10}) + arctan (0.1 x) = - 30

两边加上

arctan (\frac{1}{10})

- arctan (\frac{1}{10}) + arctan (0.1 x) + arctan (\frac{1}{10}) = - 30 + arctan (\frac{1}{10})

化简

arctan (0.1 x) = - 30 + arctan (\frac{1}{10})

arctan (0.1 x) = - 30 + arctan (\frac{1}{10})

- \frac{π}{2} < arctan (x) < \frac{π}{2}

x \in R 无解

作图

流行的例子

3 tan (x) = 0

2sin^2(x)-15sin(x)+7=0

2 sin^{2} (x) - 15 sin (x) + 7 = 0

solvefor x,cos(x)=(-3)/5

so l v e f or x, cos (x) = \frac{- 3}{5}

4sin^2(x)=4cos(x)+5

4 sin^{2} (x) = 4 cos (x) + 5

sin(2x)=-cos(3x)+sin(4x)

sin (2 x) = - cos (3 x) + sin (4 x)