What is the general solution for cos(x)=-1/(5sqrt(2)) ?

The general solution for cos(x)=-1/(5sqrt(2)) is x=1.71269…+2pin,x=-1.71269…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(x)=-1/(5sqrt(2))

cos (x) = - \frac{1}{5 2}

x = 1.71269 \dots + 2 πn, x = - 1.71269 \dots + 2 πn

Solution steps

cos (x) = - \frac{1}{5 2}

Simplify

- \frac{1}{5 2} : - \frac{2}{10}

Apply trig inverse properties

x = arccos (- \frac{2}{10}) + 2 πn, x = - arccos (- \frac{2}{10}) + 2 πn

Show solutions in decimal form

x = 1.71269 \dots + 2 πn, x = - 1.71269 \dots + 2 πn

cot (x) tan (2 x) = 3

2 cos^{2} (x) - 3 cos (x) = 0

sin (3 x) = sin (5 x)

2 sin^{2} (3 θ) + sin (3 θ) - 1 = 0

4 cos (θ) + 3 = 2 cos (θ)

What is the general solution for cos(x)=-1/(5sqrt(2)) ?
The general solution for cos(x)=-1/(5sqrt(2)) is x=1.71269…+2pin,x=-1.71269…+2pin