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

The general solution for sin(x)=-(1/2) is x=(7pi)/6+2pin,x=(11pi)/6+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(x)=-(1/2)

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

x = \frac{7 π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn

Solution steps

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

General solutions for

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

x = \frac{7 π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn

x, y - cos (x) = sin (y)

cos (x) = 0, 0 \leq x < 2 π

cos^{3} (x) - 2 cos^{2} (x) + cos (x) - 2 = 0

cos^{2} (x) - sin^{2} (x) = 1 + sin (x)

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

What is the general solution for sin(x)=-(1/2) ?
The general solution for sin(x)=-(1/2) is x=(7pi)/6+2pin,x=(11pi)/6+2pin