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

The general solution for 2cos(x)+sqrt(3)=0 is x=(5pi)/6+2pin,x=(7pi)/6+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2cos(x)+sqrt(3)=0

2 cos (x) + 3 = 0

x = \frac{5 π}{6} + 2 πn, x = \frac{7 π}{6} + 2 πn

Degrees

x = 15 0^{\circ} + 36 0^{\circ} n, x = 21 0^{\circ} + 36 0^{\circ} n

Solution steps

2 cos (x) + 3 = 0

Move

3

to the right side

2 cos (x) + 3 = 0

Subtract

3

from both sides

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

Simplify

2 cos (x) = - 3

2 cos (x) = - 3

Divide both sides by

2

2 cos (x) = - 3

Divide both sides by

2

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

Simplify

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

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

General solutions for

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

cos (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

x = \frac{5 π}{6} + 2 πn, x = \frac{7 π}{6} + 2 πn

x = \frac{5 π}{6} + 2 πn, x = \frac{7 π}{6} + 2 πn

sec^{2} (\frac{π}{4})

\frac{cos ( x )}{1 - sin ( x )} = sec (x) + tan (x)

arccsc (- 2)

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

cos (22 5^{\circ})

What is the general solution for 2cos(x)+sqrt(3)=0 ?
The general solution for 2cos(x)+sqrt(3)=0 is x=(5pi)/6+2pin,x=(7pi)/6+2pin