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

The general solution for sin(x)=2sin(x)+1 is x=(3pi)/2+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(x)=2sin(x)+1

sin (x) = 2 sin (x) + 1

x = \frac{3 π}{2} + 2 πn

Solution steps

sin (x) = 2 sin (x) + 1

Solve by substitution

sin (x) = - 1

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

Combine all the solutions

x = \frac{3 π}{2} + 2 πn

4 cosh (x) - sinh (x) = 8

- 53 cot (θ) + 1 = 16

- sin (x) = sin (x)

2 sin^{2} (x) + 4 sin (x) + 2 = 0

2 sin (θ) = csc (θ)

What is the general solution for sin(x)=2sin(x)+1 ?
The general solution for sin(x)=2sin(x)+1 is x=(3pi)/2+2pin