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

The general solution for cos(x)=(-sqrt(2))/2 is x=(3pi)/4+2pin,x=(5pi)/4+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

x = \frac{3 π}{4} + 2 πn, x = \frac{5 π}{4} + 2 πn

Solution steps

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

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

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

General solutions for

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

x = \frac{3 π}{4} + 2 πn, x = \frac{5 π}{4} + 2 πn

sin^{2} (θ) + sin (θ) = 0

cos^{2} (θ) - sin^{2} (θ) = sin (θ) + 1

tan (x) = - \frac{1}{2}

sin (θ) + cos (θ) = 1

cos (x^{2}) = 0

What is the general solution for cos(x)=(-sqrt(2))/2 ?
The general solution for cos(x)=(-sqrt(2))/2 is x=(3pi)/4+2pin,x=(5pi)/4+2pin