What is the general solution for cos(2x)-4cos(x)+3=0 ?

The general solution for cos(2x)-4cos(x)+3=0 is x=2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(2x)-4cos(x)+3=0

cos (2 x) - 4 cos (x) + 3 = 0

x = 2 πn

Solution steps

cos (2 x) - 4 cos (x) + 3 = 0

Rewrite using trig identities

2 + 2 cos^{2} (x) - 4 cos (x) = 0

Solve by substitution

cos (x) = 1

cos (x) = 1 : x = 2 πn

Combine all the solutions

x = 2 πn

6 cos^{2} (A) - 5 cos (A) + 1 = 0

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

2 sin (x) + 3 cot (x) - 3 csc (x) = 0

cos^{2} (θ) - 3 cos (θ) + 2 = 0

cos (2 x - \frac{π}{6}) = - \frac{1}{2}, \frac{π}{2} \leq x < π

What is the general solution for cos(2x)-4cos(x)+3=0 ?
The general solution for cos(2x)-4cos(x)+3=0 is x=2pin