What is the general solution for pi/4 =arctan(x) ?

The general solution for pi/4 =arctan(x) is x=1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

pi/4 =arctan(x)

\frac{π}{4} = arctan (x)

x = 1

Solution steps

\frac{π}{4} = arctan (x)

Switch sides

arctan (x) = \frac{π}{4}

Apply trig inverse properties

arctan (x) = \frac{π}{4}

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

x = tan (\frac{π}{4})

tan (\frac{π}{4}) = 1

tan (\frac{π}{4})

Use the following trivial identity:

tan (\frac{π}{4}) = 1

tan (\frac{π}{4})

tan (x)

periodicity table with

πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} tan (x) 0 \frac{3}{3} 13 \pm \infty - 3 - 1 - \frac{3}{3}

= 1

= 1

x = 1

x = 1

2 cos (x) = cos (2 x)

3 cos^{2} (θ) + cos (θ) = 0

cos^{2} (θ) = 0.75

cos (y_{0}) = \frac{( a _{0} \cdot n _{0} )}{∣} a_{0} ∣

tan (θ) = - 6

What is the general solution for pi/4 =arctan(x) ?
The general solution for pi/4 =arctan(x) is x=1