What is the general solution for cos(x)=(-1)/(sqrt(10)) ?

The general solution for cos(x)=(-1)/(sqrt(10)) is x=1.89254…+2pin,x=-1.89254…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(x)=(-1)/(sqrt(10))

cos (x) = \frac{- 1}{10}

x = 1.89254 \dots + 2 πn, x = - 1.89254 \dots + 2 πn

Solution steps

cos (x) = \frac{- 1}{10}

Simplify

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

Apply trig inverse properties

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

Show solutions in decimal form

x = 1.89254 \dots + 2 πn, x = - 1.89254 \dots + 2 πn

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

- sin (x) + sin^{2} (x) - cos^{2} (x) = 0

- 1 + sin (x) = - 1

\frac{2}{2} = sin (θ)

cos (a) = 1, 8 b = 1, 5 c = 23

What is the general solution for cos(x)=(-1)/(sqrt(10)) ?
The general solution for cos(x)=(-1)/(sqrt(10)) is x=1.89254…+2pin,x=-1.89254…+2pin