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Popular Trigonometría >

1/2 (1+cos(x))=0.6294095226

Solución

\frac{1}{2} (1 + cos (x)) = 0.6294095226

Solución

x = 1.30899 \dots + 2 πn, x = 2 π - 1.30899 \dots + 2 πn

+1

Grados

x = 74.99999 \dots^{\circ} + 36 0^{\circ} n, x = 285.00000 \dots^{\circ} + 36 0^{\circ} n

Pasos de solución

\frac{1}{2} (1 + cos (x)) = 0.6294095226

Multiplicar ambos lados por

2

\frac{1}{2} (1 + cos (x)) = 0.6294095226

Multiplicar ambos lados por

2

2 \cdot \frac{1}{2} (1 + cos (x)) = 0.6294095226 \cdot 2

Simplificar

1 + cos (x) = 1.25881 \dots

1 + cos (x) = 1.25881 \dots

Desplace

1

a la derecha

1 + cos (x) = 1.25881 \dots

Restar

1

de ambos lados

1 + cos (x) - 1 = 1.25881 \dots - 1

Simplificar

cos (x) = 0.2588190452

cos (x) = 0.2588190452

Aplicar propiedades trigonométricas inversas

cos (x) = 0.2588190452

Soluciones generales para

cos (x) = 0.2588190452

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = 2 π - arccos (a) + 2 πn

x = arccos (0.2588190452) + 2 πn, x = 2 π - arccos (0.2588190452) + 2 πn

x = arccos (0.2588190452) + 2 πn, x = 2 π - arccos (0.2588190452) + 2 πn

Mostrar soluciones en forma decimal

x = 1.30899 \dots + 2 πn, x = 2 π - 1.30899 \dots + 2 πn

Gráfica

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