What is the general solution for tan(t)= 3/(tan(t)) ?

The general solution for tan(t)= 3/(tan(t)) is t= pi/3+pin,t=(2pi)/3+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tan(t)= 3/(tan(t))

tan (t) = \frac{3}{tan ( t )}

t = \frac{π}{3} + πn, t = \frac{2 π}{3} + πn

Solution steps

tan (t) = \frac{3}{tan ( t )}

Solve by substitution

tan (t) = 3, tan (t) = - 3

tan (t) = 3 : t = \frac{π}{3} + πn

tan (t) = - 3 : t = \frac{2 π}{3} + πn

Combine all the solutions

t = \frac{π}{3} + πn, t = \frac{2 π}{3} + πn

tan (- x) = tan (2 x + 1)

(2 cos (x) - sin (x)) (1 + sin (x)) = cos^{2} (x)

sin (6 x) cos (9 x) - cos (6 x) sin (9 x) = - 0.4

sin^{2} (x) = 2 tan^{2} (x)

cos^{3} (x) = cos (2 x + x)

What is the general solution for tan(t)= 3/(tan(t)) ?
The general solution for tan(t)= 3/(tan(t)) is t= pi/3+pin,t=(2pi)/3+pin