What is the general solution for solvefor x,2sin^2(x)=sin(x) ?

The general solution for solvefor x,2sin^2(x)=sin(x) is x= pi/6+2pin,x=(5pi)/6+2pin,x=2pin,x=pi+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

solvefor x,2sin^2(x)=sin(x)

solve for

x, 2 sin^{2} (x) = sin (x)

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

Solution steps

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

Solve by substitution

sin (x) = \frac{1}{2}, sin (x) = 0

sin (x) = \frac{1}{2} : x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

sin (x) = 0 : x = 2 πn, x = π + 2 πn

Combine all the solutions

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

3 cos^{2} (θ) - 2 sin (θ) = 1

- 3 cos (2 x) + 3 = 5 sin (x)

csc (3 x + \frac{π}{12}) = 2

15 = 25 + 2 \cdot 100 \cdot cos (x)

- 43 = 12 tan (θ)

What is the general solution for solvefor x,2sin^2(x)=sin(x) ?
The general solution for solvefor x,2sin^2(x)=sin(x) is x= pi/6+2pin,x=(5pi)/6+2pin,x=2pin,x=pi+2pin