What is the general solution for 2sin(x/2)-sqrt(3)=0 ?

The general solution for 2sin(x/2)-sqrt(3)=0 is x=(2pi)/3+4pin,x=(4pi)/3+4pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2sin(x/2)-sqrt(3)=0

2 sin (\frac{x}{2}) - 3 = 0

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

Solution steps

2 sin (\frac{x}{2}) - 3 = 0

Move

3

to the right side

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

Divide both sides by

2

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

General solutions for

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

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

Solve

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

Solve

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

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

2 sin^{2} (θ) = sin (θ) + 1

2 sec^{2} (x) - 4 = 0

tan (a) = 3

tan (x) + 1 = 3 + 3 cot (x)

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

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