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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

arctan(t)= pi/4

arctan (t) = \frac{π}{4}

t = 1

Solution steps

arctan (t) = \frac{π}{4}

Apply trig inverse properties

arctan (t) = \frac{π}{4}

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

t = 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

t = 1

t = 1

tan (\frac{π}{2} - θ) = cos (- θ)

tan (x) = - \frac{24}{7}

sin^{3} (x) + sin (x) = 0

x, sin (x) = - \frac{1}{2}

81 cos^{2} (x) = 16

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