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Popular >

20=15cos(x)*2,47

Solución

20 = 15 cos (x) \cdot 2, 47

Solución

Sin soluci \overset{o}{ˊ} n para x \in R

Pasos de solución

20 = 15 cos (x) \cdot 2, 47

Intercambiar lados

15 cos (x) \cdot 2 = 20

Dividir ambos lados entre

15 \cdot 2

15 cos (x) \cdot 2 = 20

Dividir ambos lados entre

15 \cdot 2

\frac{15 cos ( x ) \cdot 2}{15 \cdot 2} = \frac{20}{15 \cdot 2}

Simplificar

\frac{15 cos ( x ) \cdot 2}{15 \cdot 2} = \frac{20}{15 \cdot 2}

Simplificar

\frac{15 cos ( x ) \cdot 2}{15 \cdot 2} : cos (x)

\frac{15 cos ( x ) \cdot 2}{15 \cdot 2}

Multiplicar los numeros:

15 \cdot 2 = 30

= \frac{30 cos ( x )}{30}

Dividir:

\frac{30}{30} = 1

= cos (x)

Simplificar

\frac{20}{15 \cdot 2} : \frac{2}{3}

\frac{20}{15 \cdot 2}

Multiplicar los numeros:

15 \cdot 2 = 30

= \frac{20}{30}

Eliminar los terminos comunes:

10

= \frac{2}{3}

cos (x) = \frac{2}{3}

cos (x) = \frac{2}{3}

cos (x) = \frac{2}{3}

Aplicar propiedades trigonométricas inversas

cos (x) = \frac{2}{3}

Soluciones generales para

cos (x) = \frac{2}{3}

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

x = arccos (\frac{2}{3}) + 2 πn, x = 2 π - arccos (\frac{2}{3}) + 2 πn

x = arccos (\frac{2}{3}) + 2 πn, x = 2 π - arccos (\frac{2}{3}) + 2 πn

Soluciones para el rango

47

Sin soluci \overset{o}{ˊ} n para x \in R

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