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Popular Trigonometria >

2cos(x)>0

Solução

2 cos (x) > 0

Solução

- \frac{π}{2} + 2 πn < x < \frac{π}{2} + 2 πn

+2

Notação de intervalo

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

Decimal

- 1.57079 \dots + 2 πn < x < 1.57079 \dots + 2 πn

Passos da solução

2 cos (x) > 0

Dividir ambos os lados por

2

2 cos (x) > 0

Dividir ambos os lados por

2

\frac{2 cos ( x )}{2} > \frac{0}{2}

Simplificar

cos (x) > 0

cos (x) > 0

Para

cos (x) > a

, se

- 1 \leq a < 1

então

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

- arccos (0) + 2 πn < x < arccos (0) + 2 πn

Simplificar

- arccos (0) : - \frac{π}{2}

- arccos (0)

Utilizar a seguinte identidade trivial:

arccos (0) = \frac{π}{2}

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}{2}

Simplificar

arccos (0) : \frac{π}{2}

arccos (0)

Utilizar a seguinte identidade trivial:

arccos (0) = \frac{π}{2}

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}{2}

- \frac{π}{2} + 2 πn < x < \frac{π}{2} + 2 πn

Exemplos populares

sin(x)> 1/(sqrt(2))

sin (x) > \frac{1}{2}

2 - sin^{2} (x) \geq 0

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3cos^2(x)+5cos(x)-2<0

3 cos^{2} (x) + 5 cos (x) - 2 < 0

cos (x) \leq \frac{1}{2}