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Popular >

(cos(45))/(cos(30))

Solución

\frac{cos ( 4 5 ^{\circ} )}{cos ( 3 0 ^{\circ} )}

\frac{2}{3}

Notación decimal

0.81649 \dots

Pasos de solución

\frac{cos ( 4 5 ^{\circ} )}{cos ( 3 0 ^{\circ} )}

Utilizar la siguiente identidad trivial:

cos (4 5^{\circ}) = \frac{2}{2}

cos (4 5^{\circ})

cos (x)

tabla de valores periódicos con

36 0^{\circ} n

intervalos:

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

= \frac{2}{2}

Utilizar la siguiente identidad trivial:

cos (3 0^{\circ}) = \frac{3}{2}

cos (3 0^{\circ})

cos (x)

tabla de valores periódicos con

36 0^{\circ} n

intervalos:

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

= \frac{3}{2}

= \frac{\frac{2}{2}}{\frac{3}{2}}

Simplificar

\frac{\frac{2}{2}}{\frac{3}{2}} : \frac{2}{3}

\frac{\frac{2}{2}}{\frac{3}{2}}

Dividir fracciones:

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

= \frac{2 \cdot 2}{2 3}

Eliminar los terminos comunes:

2

= \frac{2}{3}

Combinar los exponentes similares:

\frac{x}{y} = \frac{x}{y}

= \frac{2}{3}

= \frac{2}{3}

cot (5 π)

300 sin (3 0^{\circ})

2 + sin (π)

\frac{3}{cos ( 3 0 ^{\circ} )}

cos (2 arcsin (\frac{7}{25}))