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Popular >

(tan(45))/(sin(30)sin(30))

Solución

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

Solución

4

Pasos de solución

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

Utilizar la siguiente identidad trivial:

tan (4 5^{\circ}) = 1

tan (4 5^{\circ})

tan (x)

tabla de valores periódicos con

18 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} tan (x) 0 \frac{3}{3} 13 \pm \infty - 3 - 1 - \frac{3}{3}

= 1

Utilizar la siguiente identidad trivial:

sin (3 0^{\circ}) = \frac{1}{2}

sin (3 0^{\circ})

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

= \frac{1}{2}

= \frac{1}{\frac{1}{2} \cdot \frac{1}{2}}

Simplificar

\frac{1}{\frac{1}{2} \cdot \frac{1}{2}} : 4

\frac{1}{\frac{1}{2} \cdot \frac{1}{2}}

Multiplicar

\frac{1}{2} \cdot \frac{1}{2} : \frac{1}{4}

\frac{1}{2} \cdot \frac{1}{2}

Multiplicar fracciones:

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

= \frac{1 \cdot 1}{2 \cdot 2}

Multiplicar los numeros:

1 \cdot 1 = 1

= \frac{1}{2 \cdot 2}

Multiplicar los numeros:

2 \cdot 2 = 4

= \frac{1}{4}

= \frac{1}{\frac{1}{4}}

Aplicar las propiedades de las fracciones:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{4}{1}

Aplicar la regla

\frac{a}{1} = a

= 4

= 4

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