What is the general solution for cos(3x)=-(sqrt(3))/2 ?

The general solution for cos(3x)=-(sqrt(3))/2 is x=(5pi}{18}+(2pin)/3 ,x=(7pi)/(18)+\frac{2pin)/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(3x)=-(sqrt(3))/2

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

x = \frac{5 π}{18} + \frac{2 πn}{3}, x = \frac{7 π}{18} + \frac{2 πn}{3}

Solution steps

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

General solutions for

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

3 x = \frac{5 π}{6} + 2 πn, 3 x = \frac{7 π}{6} + 2 πn

Solve

3 x = \frac{5 π}{6} + 2 πn : x = \frac{5 π}{18} + \frac{2 πn}{3}

Solve

3 x = \frac{7 π}{6} + 2 πn : x = \frac{7 π}{18} + \frac{2 πn}{3}

x = \frac{5 π}{18} + \frac{2 πn}{3}, x = \frac{7 π}{18} + \frac{2 πn}{3}

cos (x) = \frac{2}{7}

cos (3 x) sin (2 x) = 0

2 sin (2 θ) = 2

sin^{2} (θ) + sin (θ) - 2 = 0

sin^{2} (θ) - tan (θ) cos^{2} (θ) = 0

What is the general solution for cos(3x)=-(sqrt(3))/2 ?
The general solution for cos(3x)=-(sqrt(3))/2 is x=(5pi}{18}+(2pin)/3 ,x=(7pi)/(18)+\frac{2pin)/3