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

The general solution for sin(2x+pi/3)=(sqrt(3))/2 is x=pin,x=pin+pi/6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(2x+pi/3)=(sqrt(3))/2

sin (2 x + \frac{π}{3}) = \frac{3}{2}

x = πn, x = πn + \frac{π}{6}

Solution steps

sin (2 x + \frac{π}{3}) = \frac{3}{2}

General solutions for

sin (2 x + \frac{π}{3}) = \frac{3}{2}

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

Solve

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

Solve

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

x = πn, x = πn + \frac{π}{6}

6 sin (20 x) + 1 = 1

sin (x) = 1 - cos (x)

tan (t) = 3

2 cos^{2} (x) - 9 cos (x) - 5 = 0

2 sec^{2} (x) = 3 - tan (x)

What is the general solution for sin(2x+pi/3)=(sqrt(3))/2 ?
The general solution for sin(2x+pi/3)=(sqrt(3))/2 is x=pin,x=pin+pi/6