What is the general solution for cos(x)= 3/(sqrt(13)) ?

The general solution for cos(x)= 3/(sqrt(13)) is x=0.58800…+2pin,x=2pi-0.58800…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(x)= 3/(sqrt(13))

cos (x) = \frac{3}{13}

x = 0.58800 \dots + 2 πn, x = 2 π - 0.58800 \dots + 2 πn

Solution steps

cos (x) = \frac{3}{13}

Simplify

\frac{3}{13} : \frac{3 13}{13}

Apply trig inverse properties

x = arccos (\frac{3 13}{13}) + 2 πn, x = 2 π - arccos (\frac{3 13}{13}) + 2 πn

Show solutions in decimal form

x = 0.58800 \dots + 2 πn, x = 2 π - 0.58800 \dots + 2 πn

3 tan^{3} (x) - 9 tan (x) = 0

cot (θ) = - 1, cos (θ), 9 0^{\circ} < θ < 18 0^{\circ}

2 sin (3 θ) + 1 = 0, 0 \leq θ \leq 2 π

arctan (x) = - \frac{π}{6}

cos^{2} (x) - 3 cos (x) = 4

What is the general solution for cos(x)= 3/(sqrt(13)) ?
The general solution for cos(x)= 3/(sqrt(13)) is x=0.58800…+2pin,x=2pi-0.58800…+2pin