What is the general solution for 3cos(x)+1=-2cos^2(x) ?

The general solution for 3cos(x)+1=-2cos^2(x) is x=pi+2pin,x=(2pi)/3+2pin,x=(4pi)/3+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3cos(x)+1=-2cos^2(x)

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

x = π + 2 πn, x = \frac{2 π}{3} + 2 πn, x = \frac{4 π}{3} + 2 πn

Solution steps

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

Solve by substitution

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

cos (x) = - 1 : x = π + 2 πn

cos (x) = - \frac{1}{2} : x = \frac{2 π}{3} + 2 πn, x = \frac{4 π}{3} + 2 πn

Combine all the solutions

x = π + 2 πn, x = \frac{2 π}{3} + 2 πn, x = \frac{4 π}{3} + 2 πn

3 + 2 sin (β) = 0

sin (2 t) = \frac{3}{2}

cos (θ) = \frac{5}{7}, sin (θ) > 0

cos (t) = - \frac{1}{2}

tan (θ) = \frac{2 3}{2}

What is the general solution for 3cos(x)+1=-2cos^2(x) ?
The general solution for 3cos(x)+1=-2cos^2(x) is x=pi+2pin,x=(2pi)/3+2pin,x=(4pi)/3+2pin