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Popular >

1/2 (1-cos((2pi2)/3))

Solución

\frac{1}{2} (1 - cos (\frac{2 \cdot π \cdot 2}{3}))

Solución

\frac{1 - cos ( \frac{4 π}{3} )}{2}

+1

Notación decimal

0.75

Pasos de solución

\frac{1}{2} (1 - cos (\frac{2 π 2}{3}))

Reescribir como

= cos (2 \cdot \frac{2 π}{3})

Re-escribir usando identidades trigonométricas:

cos (2 \cdot \frac{2 π}{3}) = 1 - 2 sin^{2} (\frac{2 π}{3})

cos (2 \cdot \frac{2 π}{3})

Utilizar la identidad trigonométrica del ángulo doble:

cos (2 x) = 1 - 2 sin^{2} (x)

= 1 - 2 sin^{2} (\frac{2 π}{3})

= \frac{1}{2} (1 - cos (\frac{2 π 2}{3}))

Simplificar:

\frac{2 π 2}{3} = \frac{4 π}{3}

\frac{2 π 2}{3}

Multiplicar los numeros:

2 \cdot 2 = 4

= \frac{4 π}{3}

\frac{1}{2} (1 - cos (\frac{4 π}{3})) = \frac{1 - cos ( \frac{4 π}{3} )}{2}

\frac{1}{2} (1 - cos (\frac{4 π}{3}))

Multiplicar fracciones:

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

= \frac{1 \cdot ( 1 - cos ( \frac{4 π}{3} ) )}{2}

1 \cdot (1 - cos (\frac{4 π}{3})) = 1 - cos (\frac{4 π}{3})

1 \cdot (1 - cos (\frac{4 π}{3}))

Multiplicar:

1 \cdot (1 - cos (\frac{4 π}{3})) = (1 - cos (\frac{4 π}{3}))

= (1 - cos (\frac{4 π}{3}))

Quitar los parentesis:

(a) = a

= 1 - cos (\frac{4 π}{3})

= \frac{1 - cos ( \frac{4 π}{3} )}{2}

= \frac{1 - cos ( \frac{4 π}{3} )}{2}

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