What is the general solution for cos(x)-0.5=0 ?

The general solution for cos(x)-0.5=0 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 >

cos(x)-0.5=0

cos (x) - 0.5 = 0

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

Degrees

x = 6 0^{\circ} + 36 0^{\circ} n, x = 30 0^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) - 0.5 = 0

Move

0.5

to the right side

cos (x) - 0.5 = 0

Add

0.5

to both sides

cos (x) - 0.5 + 0.5 = 0 + 0.5

Simplify

cos (x) = 0.5

cos (x) = 0.5

General solutions for

cos (x) = 0.5

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

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

cos (x) = \frac{6}{14}

x, sec (x) = 2

sin (θ) = sin (- \frac{2}{3} π)

cot (a) = - \frac{7}{24}

2 sin^{2} (a) = - sin (a)

What is the general solution for cos(x)-0.5=0 ?
The general solution for cos(x)-0.5=0 is x= pi/3+2pin,x=(5pi)/3+2pin