en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Trigonometry >

2/pi-arctan(x)<0.001

Solution

\frac{2}{π} - arctan (x) < 0.001

Solution

x > 0.73775 \dots

+1

Interval Notation

(0.73775 \dots, \infty)

Solution steps

\frac{2}{π} - arctan (x) < 0.001

Move

\frac{2}{π}

to the right side

\frac{2}{π} - arctan (x) < 0.001

Subtract

\frac{2}{π}

from both sides

\frac{2}{π} - arctan (x) - \frac{2}{π} < 0.001 - \frac{2}{π}

Simplify

- arctan (x) < 0.001 - \frac{2}{π}

- arctan (x) < 0.001 - \frac{2}{π}

Multiply both sides by

- 1

- arctan (x) < 0.001 - \frac{2}{π}

Multiply both sides by -1 (reverse the inequality)

(- arctan (x)) (- 1) > 0.001 (- 1) - \frac{2}{π} (- 1)

Simplify

arctan (x) > - 0.001 + \frac{2}{π}

arctan (x) > - 0.001 + \frac{2}{π}

If

arctan (x) > a

then

x > tan (a)

x > tan (- 0.001 + \frac{2}{π})

tan (- 0.001 + \frac{2}{π}) = 0.73775 \dots

tan (- 0.001 + \frac{2}{π})

tan (- 0.001 + \frac{2}{π}) = 0.73775 \dots

= 0.73775 \dots

x > 0.73775 \dots

Graph

Popular Examples

(0.75*sin((2pi*x)/3))+1.25<1.8

(4cos(x)+3)/(3cos(x)+1)<2