What is the general solution for 2cos^2(x)+3=7cos(x) ?

The general solution for 2cos^2(x)+3=7cos(x) is x= pi/3+2pin,x=(5pi)/3+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2cos^2(x)+3=7cos(x)

2 cos^{2} (x) + 3 = 7 cos (x)

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

Solution steps

2 cos^{2} (x) + 3 = 7 cos (x)

Solve by substitution

cos (x) = 3, cos (x) = \frac{1}{2}

cos (x) = 3 :

No Solution

cos (x) = \frac{1}{2} : x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

Combine all the solutions

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

cos (x) = - 0.6293

1 + 3 tan (θ) = 2

sec (3 θ) = - 1

x, 2 sin (x) = 0

y, arctan (x + y) = x

What is the general solution for 2cos^2(x)+3=7cos(x) ?
The general solution for 2cos^2(x)+3=7cos(x) is x= pi/3+2pin,x=(5pi)/3+2pin