What is the general solution for cos^2(x)=(1+cos^2(x))/2 ?

The general solution for cos^2(x)=(1+cos^2(x))/2 is x=2pin,x=pi+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos^2(x)=(1+cos^2(x))/2

cos^{2} (x) = \frac{1 + cos ^{2} ( x )}{2}

x = 2 πn, x = π + 2 πn

Solution steps

cos^{2} (x) = \frac{1 + cos ^{2} ( x )}{2}

Solve by substitution

cos (x) = 1, cos (x) = - 1

cos (x) = 1 : x = 2 πn

cos (x) = - 1 : x = π + 2 πn

Combine all the solutions

x = 2 πn, x = π + 2 πn

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

10 sin (θ) + 1 = 3 - 2 sin (θ)

sin (x) cos (2 x) - cos (x) sin (2 x) = \frac{3}{2}

5 sin^{2} (x) + 3 sin (x) = 1

8 cos^{2} (x) - 16 cos (x) + 8 = 0

What is the general solution for cos^2(x)=(1+cos^2(x))/2 ?
The general solution for cos^2(x)=(1+cos^2(x))/2 is x=2pin,x=pi+2pin