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Popular >

sec(2(pi/4))

Solución

sec (2 (\frac{π}{4}))

Solución

Sin definir

Pasos de solución

sec (2 (\frac{π}{4}))

= sec (2 \cdot \frac{π}{4})

Simplificar:

2 \cdot \frac{π}{4} = \frac{π}{2}

2 \cdot \frac{π}{4}

Multiplicar fracciones:

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

= \frac{π 2}{4}

Eliminar los terminos comunes:

2

= \frac{π}{2}

= sec (\frac{π}{2})

Re-escribir usando identidades trigonométricas:

Sin definir

sec (\frac{π}{2})

Utilizar la identidad trigonométrica básica:

sec (x) = \frac{1}{cos ( x )}

= \frac{1}{cos ( \frac{π}{2} )}

Simplificar

\frac{1}{cos ( \frac{π}{2} )} :

Sin definir

\frac{1}{cos ( \frac{π}{2} )}

cos (\frac{π}{2}) = 0

= \frac{1}{0}

\frac{x}{0}

no está definida

= Sin definir

= Sin definir

= Sin definir

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