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Popular >

1/(sqrt(15))=cos(x)

Solución

\frac{1}{15} = cos (x)

Solución

x = 1.30963 \dots + 2 πn, x = 2 π - 1.30963 \dots + 2 πn

+1

Grados

x = 75.03678 \dots^{\circ} + 36 0^{\circ} n, x = 284.96321 \dots^{\circ} + 36 0^{\circ} n

Pasos de solución

\frac{1}{15} = cos (x)

Intercambiar lados

cos (x) = \frac{1}{15}

Simplificar

\frac{1}{15} : \frac{15}{15}

\frac{1}{15}

Multiplicar por el conjugado

\frac{15}{15}

= \frac{1 \cdot 15}{15 15}

1 \cdot 15 = 15

1515 = 15

1515

Aplicar las leyes de los exponentes:

a a = a

1515 = 15

= 15

= \frac{15}{15}

cos (x) = \frac{15}{15}

Aplicar propiedades trigonométricas inversas

cos (x) = \frac{15}{15}

Soluciones generales para

cos (x) = \frac{15}{15}

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

x = arccos (\frac{15}{15}) + 2 πn, x = 2 π - arccos (\frac{15}{15}) + 2 πn

x = arccos (\frac{15}{15}) + 2 πn, x = 2 π - arccos (\frac{15}{15}) + 2 πn

Mostrar soluciones en forma decimal

x = 1.30963 \dots + 2 πn, x = 2 π - 1.30963 \dots + 2 πn

Ejemplos populares

cos^2(θ)=3sin^2(θ)

cos^{2} (θ) = 3 sin^{2} (θ)

sinh (x) = \frac{5}{4}

3 - 4 cos (A) = 1

3tan(x)-2cos(x)=0

3 tan (x) - 2 cos (x) = 0

sin (a) = - \frac{3}{5}