What is the general solution for 8cos(x)=4cos^2(x)+3 ?

The general solution for 8cos(x)=4cos^2(x)+3 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 >

8cos(x)=4cos^2(x)+3

8 cos (x) = 4 cos^{2} (x) + 3

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

Solution steps

8 cos (x) = 4 cos^{2} (x) + 3

Solve by substitution

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

cos (x) = \frac{3}{2} :

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

\frac{sin ^{2} ( x )}{2} + c = cos (x) c + c

- tan (x) - sec (x) = 0

\frac{26}{sin ( 8 8 ^{\circ} )} = \frac{21}{sin ( c )}

3 tan^{2} (3 x) = 1

- 2 (cos (2 x) + sin (x)) = 0

What is the general solution for 8cos(x)=4cos^2(x)+3 ?
The general solution for 8cos(x)=4cos^2(x)+3 is x= pi/3+2pin,x=(5pi)/3+2pin