What is the general solution for 2cos^4(x)cos(x)-cos^5(x)=1 ?

The general solution for 2cos^4(x)cos(x)-cos^5(x)=1 is x=2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2cos^4(x)cos(x)-cos^5(x)=1

2 cos^{4} (x) cos (x) - cos^{5} (x) = 1

x = 2 πn

Solution steps

2 cos^{4} (x) cos (x) - cos^{5} (x) = 1

Simplify

2 cos^{4} (x) cos (x) - cos^{5} (x) : cos^{5} (x)

cos^{5} (x) = 1

For

x^{n} = f (a)

, n is odd, the solution is

cos (x) = 1

General solutions for

cos (x) = 1

x = 0 + 2 πn

Solve

x = 0 + 2 πn : x = 2 πn

x = 2 πn

cos^{4} (x) - 2 sin^{2} (x) - 1 = 0

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

cos^{4} (x) - 2 cos^{2} (x) + 1 = 0

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

\frac{sin ^{3} ( x )}{sin ( x )} = 0

What is the general solution for 2cos^4(x)cos(x)-cos^5(x)=1 ?
The general solution for 2cos^4(x)cos(x)-cos^5(x)=1 is x=2pin