What is the general solution for sin(x/2-pi/3)= 1/2 ,0<= x<= 2pi ?

The general solution for sin(x/2-pi/3)= 1/2 ,0<= x<= 2pi is x=pi

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(x/2-pi/3)= 1/2 ,0<= x<= 2pi

sin (\frac{x}{2} - \frac{π}{3}) = \frac{1}{2}, 0 \leq x \leq 2 π

x = π

Solution steps

sin (\frac{x}{2} - \frac{π}{3}) = \frac{1}{2}, 0 \leq x \leq 2 π

General solutions for

sin (\frac{x}{2} - \frac{π}{3}) = \frac{1}{2}

\frac{x}{2} - \frac{π}{3} = \frac{π}{6} + 2 πn, \frac{x}{2} - \frac{π}{3} = \frac{5 π}{6} + 2 πn

Solve

\frac{x}{2} - \frac{π}{3} = \frac{π}{6} + 2 πn : x = 4 πn + π

Solve

\frac{x}{2} - \frac{π}{3} = \frac{5 π}{6} + 2 πn : x = 4 πn + \frac{7 π}{3}

x = 4 πn + π, x = 4 πn + \frac{7 π}{3}

Solutions for the range

0 \leq x \leq 2 π

x = π

4 cot (x) + 1 = 0

tan (x) + sin (x) tan (x) = 0

cosh (x) = 4

2 cos^{2} (θ) + 3 cos (θ) - 2 = 0

12 (1 - cos (θ)) = sin^{2} (θ)

What is the general solution for sin(x/2-pi/3)= 1/2 ,0<= x<= 2pi ?
The general solution for sin(x/2-pi/3)= 1/2 ,0<= x<= 2pi is x=pi