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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sqrt(2)cos^2(x)=cos^2(x)

2 cos^{2} (x) = cos^{2} (x)

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

Solution steps

2 cos^{2} (x) = cos^{2} (x)

Solve by substitution

cos (x) = 0

cos (x) = 0 : x = \frac{π}{2} + 2 πn, x = \frac{3 π}{2} + 2 πn

Combine all the solutions

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

sin (\frac{π x}{2}) = 0

sin (x) = \frac{1}{2} 2

8 cos (2 x) = 2 sin (x) + 7

cos (θ) = 0.5332, θ

sin (k) = 0.5

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