es

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(θ)-1/2 >0

Solución

cos (θ) - \frac{1}{2} > 0

Solución

- \frac{π}{3} + 2 πn < θ < \frac{π}{3} + 2 πn

+2

Notación de intervalos

(- \frac{π}{3} + 2 πn, \frac{π}{3} + 2 πn)

Notación decimal

- 1.04719 \dots + 2 πn < θ < 1.04719 \dots + 2 πn

Pasos de solución

cos (θ) - \frac{1}{2} > 0

Mover

\frac{1}{2}

al lado derecho

cos (θ) - \frac{1}{2} > 0

Sumar

\frac{1}{2}

a ambos lados

cos (θ) - \frac{1}{2} + \frac{1}{2} > 0 + \frac{1}{2}

Simplificar

cos (θ) > \frac{1}{2}

cos (θ) > \frac{1}{2}

Para

cos (x) > a

, si

- 1 \leq a < 1

entonces

- arccos (a) + 2 πn < x < arccos (a) + 2 πn

- arccos (\frac{1}{2}) + 2 πn < θ < arccos (\frac{1}{2}) + 2 πn

Simplificar

- arccos (\frac{1}{2}) : - \frac{π}{3}

- arccos (\frac{1}{2})

Utilizar la siguiente identidad trivial:

arccos (\frac{1}{2}) = \frac{π}{3}

x - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 arccos (x) π \frac{5 π}{6} \frac{3 π}{4} \frac{2 π}{3} \frac{π}{2} \frac{π}{3} \frac{π}{4} \frac{π}{6} 0 arccos (x) 18 0^{\circ} 15 0^{\circ} 13 5^{\circ} 12 0^{\circ} 9 0^{\circ} 6 0^{\circ} 4 5^{\circ} 3 0^{\circ} 0^{\circ}

= - \frac{π}{3}

Simplificar

arccos (\frac{1}{2}) : \frac{π}{3}

arccos (\frac{1}{2})

Utilizar la siguiente identidad trivial:

arccos (\frac{1}{2}) = \frac{π}{3}

x - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 arccos (x) π \frac{5 π}{6} \frac{3 π}{4} \frac{2 π}{3} \frac{π}{2} \frac{π}{3} \frac{π}{4} \frac{π}{6} 0 arccos (x) 18 0^{\circ} 15 0^{\circ} 13 5^{\circ} 12 0^{\circ} 9 0^{\circ} 6 0^{\circ} 4 5^{\circ} 3 0^{\circ} 0^{\circ}

= \frac{π}{3}

- \frac{π}{3} + 2 πn < θ < \frac{π}{3} + 2 πn

Ejemplos populares

solvefor α,cos(α-β)>1 resolver para

α, cos (α - β) > 1

sin (4 x) > 0.5

sin (18 0^{\circ} - x) < 0

2sin(2x-30)+1>0

2 sin (2 x - 30) + 1 > 0

cos (x) < - \frac{1}{2}