What is the general solution for 1/2 =sin(2x) ?

The general solution for 1/2 =sin(2x) is x= pi/(12)+pin,x=(5pi)/(12)+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1/2 =sin(2x)

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

x = \frac{π}{12} + πn, x = \frac{5 π}{12} + πn

Solution steps

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

Switch sides

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

General solutions for

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

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

Solve

2 x = \frac{π}{6} + 2 πn : x = \frac{π}{12} + πn

Solve

2 x = \frac{5 π}{6} + 2 πn : x = \frac{5 π}{12} + πn

x = \frac{π}{12} + πn, x = \frac{5 π}{12} + πn

sin (θ) = 0.4

cos (x) = 3 sin (x)

2 sin (x) = cot (x)

12 cos^{2} (θ) = 3

0 = tan (x)

What is the general solution for 1/2 =sin(2x) ?
The general solution for 1/2 =sin(2x) is x= pi/(12)+pin,x=(5pi)/(12)+pin