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

The general solution for 3sin(x)+sqrt(3)=sin(x) is x=(4pi)/3+2pin,x=(5pi)/3+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3sin(x)+sqrt(3)=sin(x)

3 sin (x) + 3 = sin (x)

x = \frac{4 π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

Solution steps

3 sin (x) + 3 = sin (x)

Solve by substitution

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

sin (x) = - \frac{3}{2} : x = \frac{4 π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

Combine all the solutions

x = \frac{4 π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

4 sec^{2} (x) - 7 tan^{2} (x) = 3

sin (3 x) = cos (2 x)

3 csc^{2} (θ) - 4 = 0

sin (x) = \frac{7}{9}

2 cos (t) = 0

What is the general solution for 3sin(x)+sqrt(3)=sin(x) ?
The general solution for 3sin(x)+sqrt(3)=sin(x) is x=(4pi)/3+2pin,x=(5pi)/3+2pin