What is the general solution for cos(x)= 1/3 ,cos(2x) ?

The general solution for cos(x)= 1/3 ,cos(2x) is No Solution for x\in\mathbb{R}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

cos(x)= 1/3 ,cos(2x)

cos (x) = \frac{1}{3}, cos (2 x)

No Solution for x \in R

Solution steps

cos (x) = \frac{1}{3}, cos (2 x)

Apply trig inverse properties

cos (x) = \frac{1}{3}

General solutions for

cos (x) = \frac{1}{3}

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

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

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

Solutions for the range

cos (2 x)

No Solution for x \in R

What is the general solution for cos(x)= 1/3 ,cos(2x) ?
The general solution for cos(x)= 1/3 ,cos(2x) is No Solution for x\in\mathbb{R}