What is the general solution for 2sin^2(x)=sin(x)+3 ?

The general solution for 2sin^2(x)=sin(x)+3 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 >

2sin^2(x)=sin(x)+3

2 sin^{2} (x) = sin (x) + 3

x = \frac{3 π}{2} + 2 πn

Solution steps

2 sin^{2} (x) = sin (x) + 3

Solve by substitution

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

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

No Solution

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

Combine all the solutions

x = \frac{3 π}{2} + 2 πn

2 tan (θ) + 2 = 0

8 cos (θ) + 43 = 0

cot (x) (tan (x) + \frac{3}{3}) = 0

cos^{2} (x) - \frac{1}{2} cos (x) = 0

7 sec (x) - 7 = 0

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