What is the general solution for cos^2(x/2)=0 ?

The general solution for cos^2(x/2)=0 is x=pi+4pin,x=3pi+4pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos^2(x/2)=0

cos^{2} (\frac{x}{2}) = 0

x = π + 4 πn, x = 3 π + 4 πn

Solution steps

cos^{2} (\frac{x}{2}) = 0

Apply rule

x^{n} = 0 \Rightarrow x = 0

cos (\frac{x}{2}) = 0

General solutions for

cos (\frac{x}{2}) = 0

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

Solve

\frac{x}{2} = \frac{π}{2} + 2 πn : x = π + 4 πn

Solve

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

x = π + 4 πn, x = 3 π + 4 πn

tan (θ) = - \frac{7}{24}

2 sin (2 θ) = - 3

- 4 cot^{2} (x) = 1 + 2 cot (x) - 3 cot^{2} (x)

tan (x + \frac{π}{4}) - tan (x - \frac{π}{4}) = 3

cos (x) (2 sin (x) - 2) = 0

What is the general solution for cos^2(x/2)=0 ?
The general solution for cos^2(x/2)=0 is x=pi+4pin,x=3pi+4pin