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Popular >

2sin(30)+4cos(60)-3cot(45)+sec(45)

Solución

2 sin (3 0^{\circ}) + 4 cos (6 0^{\circ}) - 3 cot (4 5^{\circ}) + sec (4 5^{\circ})

Solución

2

+1

Notación decimal

1.41421 \dots

Pasos de solución

2 sin (3 0^{\circ}) + 4 cos (6 0^{\circ}) - 3 cot (4 5^{\circ}) + sec (4 5^{\circ})

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}

Utilizar la siguiente identidad trivial:

cos (6 0^{\circ}) = \frac{1}{2}

cos (6 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{1}{2}

Utilizar la siguiente identidad trivial:

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

cot (4 5^{\circ})

cot (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} cot (x) \mp \infty 31 \frac{3}{3} 0 - \frac{3}{3} - 1 - 3

= 1

Utilizar la siguiente identidad trivial:

sec (4 5^{\circ}) = 2

sec (4 5^{\circ})

sec (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} sec (x) 1 \frac{2 3}{3} 22 Undefined - 2 - 2 - \frac{2 3}{3} 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} sec (x) - 1 - \frac{2 3}{3} - 2 - 2 Undefined 22 \frac{2 3}{3}

= 2

= 2 \cdot \frac{1}{2} + 4 \cdot \frac{1}{2} - 3 \cdot 1 + 2

Simplificar

2 \cdot \frac{1}{2} + 4 \cdot \frac{1}{2} - 3 \cdot 1 + 2 : 2

2 \cdot \frac{1}{2} + 4 \cdot \frac{1}{2} - 3 \cdot 1 + 2

Sumar elementos similares:

2 \cdot \frac{1}{2} + 4 \cdot \frac{1}{2} = 6 \cdot \frac{1}{2}

= 6 \cdot \frac{1}{2} - 3 \cdot 1 + 2

6 \cdot \frac{1}{2} = 3

6 \cdot \frac{1}{2}

Multiplicar fracciones:

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

= \frac{1 \cdot 6}{2}

Multiplicar los numeros:

1 \cdot 6 = 6

= \frac{6}{2}

Dividir:

\frac{6}{2} = 3

= 3

3 \cdot 1 = 3

3 \cdot 1

Multiplicar los numeros:

3 \cdot 1 = 3

= 3

= 3 - 3 + 2

3 - 3 = 0

= 2

= 2

Ejemplos populares

5 + 4 cos (\frac{π}{6})

arcsin(cos(-60))

arcsin (cos (- 6 0^{\circ}))

\frac{π}{2} cos (2 π)

1/(1-sin(pi/6))

\frac{1}{1 - sin ( \frac{π}{6} )}

cot(arcsin(1/4))

cot (arcsin (\frac{1}{4}))