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

The general solution for cos^4(x)-3cos^2(x)-4=0 is No Solution for x\in\mathbb{R}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

cos^{4} (x) - 3 cos^{2} (x) - 4 = 0

No Solution for x \in R

Solution steps

cos^{4} (x) - 3 cos^{2} (x) - 4 = 0

Solve by substitution

cos (x) = 2, cos (x) = - 2, cos (x) = i, cos (x) = - i

cos (x) = 2 :

No Solution

cos (x) = - 2 :

No Solution

cos (x) = i :

No Solution

cos (x) = - i :

No Solution

Combine all the solutions

No Solution for x \in R

- 4 sin (t) + 5 cos (t) = 0

- sin (θ) + 5 cos (2 θ) = 0

θ, r = 2 sin (θ)

csc (3 θ) = - 1

cos (x) = 0.1234

What is the general solution for cos^4(x)-3cos^2(x)-4=0 ?
The general solution for cos^4(x)-3cos^2(x)-4=0 is No Solution for x\in\mathbb{R}