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Popular >

tan(x)>= 1/(sqrt(3))[0.2pi]

Solución

tan (x) \geq \frac{1}{3} [0.2 π]

Solución

arctan (0.36275 \dots) + πn \leq x < \frac{π}{2} + πn

+2

Notación de intervalos

[arctan (0.36275 \dots) + πn, \frac{π}{2} + πn)

Notación decimal

0.34799 \dots + πn \leq x < 1.57079 \dots + πn

Pasos de solución

tan (x) \geq \frac{1}{3} [0.2 π]

Simplificar

\frac{1}{3} (0.2 π) : \frac{3 \cdot 0.2 π}{3}

\frac{1}{3} (0.2 π)

Quitar los parentesis:

(a) = a

= \frac{1}{3} \cdot 0.2 π

Multiplicar fracciones:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= 0.2 \cdot \frac{1 π}{3}

Multiplicar:

1 π = π

= 0.2 \cdot \frac{π}{3}

Multiplicar fracciones:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{π 0.2}{3}

Racionalizar

\frac{0.2 π}{3} : \frac{3 \cdot 0.2 π}{3}

\frac{0.2 π}{3}

Multiplicar por el conjugado

\frac{3}{3}

= \frac{π 0.2 3}{3 3}

33 = 3

33

Aplicar las leyes de los exponentes:

a a = a

33 = 3

= 3

= \frac{3 \cdot 0.2 π}{3}

= \frac{3 \cdot 0.2 π}{3}

tan (x) \geq \frac{3 \cdot 0.2 π}{3}

Pi

tan (x) \geq a

entonces

arctan (a) + πn \leq x < \frac{π}{2} + πn

arctan (\frac{3 \cdot 0.2 π}{3}) + πn \leq x < \frac{π}{2} + πn

Simplificar

arctan (0.36275 \dots) + πn \leq x < \frac{π}{2} + πn

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