What is the value of -arctan((10^{-1}*10)/(-10^{-8)*10^2+1}) ?

The value of -arctan((10^{-1}*10)/(-10^{-8)*10^2+1}) is -pi/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

-arctan((10^{-1}10)/(-10^{-8)10^2+1})

- arctan (\frac{1 0 ^{- 1} \cdot 10}{- 1 0 ^{- 8} \cdot 1 0 ^{2} + 1})

- \frac{π}{4}

Decimal Notation

- 45

Solution steps

- arctan (\frac{1 0 ^{- 1} \cdot 10}{- 1 0 ^{- 8} \cdot 1 0 ^{2} + 1})

Use the following trivial identity:

arctan (\frac{1 0 ^{- 1} \cdot 10}{- 1 0 ^{- 8} \cdot 1 0 ^{2} + 1}) = \frac{π}{4}

arctan (\frac{1 0 ^{- 1} \cdot 10}{- 1 0 ^{- 8} \cdot 1 0 ^{2} + 1})

x 0 \frac{3}{3} 13 arctan (x) 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} arctan (x) 0^{\circ} 3 0^{\circ} 4 5^{\circ} 6 0^{\circ}

= \frac{π}{4}

= - \frac{π}{4}

[arcsec (\frac{5}{3}) + arcsin (\frac{5}{13})]

\frac{3}{tan ( 1 5 ^{\circ} )}

5 sin^{2} (\frac{3 π}{2})

cos (\frac{31 π}{4})

1 - 2 sin^{2} (1 0^{\circ})

What is the value of -arctan((10^{-1}*10)/(-10^{-8)*10^2+1}) ?
The value of -arctan((10^{-1}*10)/(-10^{-8)*10^2+1}) is -pi/4