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Popular >

sec^2(pi/3)*(-0.1)

Solución

sec^{2} (\frac{π}{3}) \cdot (- 0.1)

Solución

- \frac{2}{5}

+1

Notación decimal

- 0.4

Pasos de solución

sec^{2} (\frac{π}{3}) (- 0.1)

= sec^{2} (\frac{π}{3}) (- \frac{1}{10})

Utilizar la siguiente identidad trivial:

sec (\frac{π}{3}) = 2

sec (\frac{π}{3})

sec (x)

tabla de valores periódicos con

2 πn

intervalos:

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} sec (x) 1 \frac{2 3}{3} 22 Undefined - 2 - 2 - \frac{2 3}{3} 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} sec (x) - 1 - \frac{2 3}{3} - 2 - 2 Undefined 22 \frac{2 3}{3}

= 2

= 2^{2} (- \frac{1}{10})

Simplificar

2^{2} (- \frac{1}{10}) : - \frac{2}{5}

2^{2} (- \frac{1}{10})

Quitar los parentesis:

(- a) = - a

= - 2^{2} \cdot \frac{1}{10}

Multiplicar fracciones:

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

= - \frac{1 \cdot 2 ^{2}}{10}

Multiplicar:

1 \cdot 2^{2} = 2^{2}

= - \frac{2 ^{2}}{10}

Cancelar

\frac{2 ^{2}}{10} : \frac{2}{5}

\frac{2 ^{2}}{10}

Factorizar

10 : 2 \cdot 5

Factorizar

10 = 2 \cdot 5

= \frac{2 ^{2}}{2 \cdot 5}

Eliminar los terminos comunes:

2

= \frac{2}{5}

= - \frac{2}{5}

= - \frac{2}{5}

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