What is the general solution for cos(t)=-1/3 ?

The general solution for cos(t)=-1/3 is t=1.91063…+2pin,t=-1.91063…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

cos(t)=-1/3

cos (t) = - \frac{1}{3}

t = 1.91063 \dots + 2 πn, t = - 1.91063 \dots + 2 πn

Degrees

t = 109.47122 \dots^{\circ} + 36 0^{\circ} n, t = - 109.47122 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (t) = - \frac{1}{3}

Apply trig inverse properties

cos (t) = - \frac{1}{3}

General solutions for

cos (t) = - \frac{1}{3}

cos (x) = - a \Rightarrow x = arccos (- a) + 2 πn, x = - arccos (- a) + 2 πn

t = arccos (- \frac{1}{3}) + 2 πn, t = - arccos (- \frac{1}{3}) + 2 πn

t = arccos (- \frac{1}{3}) + 2 πn, t = - arccos (- \frac{1}{3}) + 2 πn

Show solutions in decimal form

t = 1.91063 \dots + 2 πn, t = - 1.91063 \dots + 2 πn

What is the general solution for cos(t)=-1/3 ?
The general solution for cos(t)=-1/3 is t=1.91063…+2pin,t=-1.91063…+2pin