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Popular >

4cos(45)-2sin(45)

Solución

4 cos (4 5^{\circ}) - 2 sin (4 5^{\circ})

Solución

2

+1

Notación decimal

1.41421 \dots

Pasos de solución

4 cos (4 5^{\circ}) - 2 sin (4 5^{\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:

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

sin (4 5^{\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{2}{2}

= 4 \cdot \frac{2}{2} - 2 \cdot \frac{2}{2}

Simplificar

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

4 \cdot \frac{2}{2} - 2 \cdot \frac{2}{2}

Sumar elementos similares:

4 \cdot \frac{2}{2} - 2 \cdot \frac{2}{2} = 2 \cdot \frac{2}{2}

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

Multiplicar fracciones:

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

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

Eliminar los terminos comunes:

2

= 2

= 2

Ejemplos populares

tan (\frac{7}{12})

arctan (\frac{13}{18})

arctan((-4)/(-4))

arctan (\frac{- 4}{- 4})

tan (\frac{23 π}{6})

(tan(45)-tan(30))/(1+tan(45)tan(30))

\frac{tan ( 4 5 ^{\circ} ) - tan ( 3 0 ^{\circ} )}{1 + tan ( 4 5 ^{\circ} ) tan ( 3 0 ^{\circ} )}