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Popular >

-cos(pi/2+pi/2)

Solución

- cos (\frac{π}{2} + \frac{π}{2})

Solución

1

Pasos de solución

- cos (\frac{π}{2} + \frac{π}{2})

Re-escribir usando identidades trigonométricas:

cos (\frac{π}{2} + \frac{π}{2}) = - 1

cos (\frac{π}{2} + \frac{π}{2})

Simplificar:

\frac{π}{2} + \frac{π}{2} = π

\frac{π}{2} + \frac{π}{2}

Aplicar la regla

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

= \frac{π + π}{2}

Sumar elementos similares:

π + π = 2 π

= \frac{2 π}{2}

Dividir:

\frac{2}{2} = 1

= π

= cos (π)

Utilizar la siguiente identidad trivial:

cos (π) = (- 1)

cos (π)

cos (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} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} 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} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

= (- 1)

= - 1

= - (- 1)

Simplificar

= 1

Ejemplos populares

sin(arccos(2/9))

sin (arccos (\frac{2}{9}))

(3.7)/(tan(4.6))

\frac{3.7}{tan ( 4.6 )}

ln(2+tan(pi/(16)))

ln (2 + tan (\frac{π}{16}))

(cos (π))^{2}

arctan((-1/2}{-\frac{sqrt(3))/2})

arctan (\frac{- \frac{1}{2}}{- \frac{3}{2}})