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cos(θ)= 7/(3sqrt(17))

Solución

cos (θ) = \frac{7}{3 17}

θ = 0.96925 \dots + 2 πn, θ = 2 π - 0.96925 \dots + 2 πn

radianes

θ = 0.96925 \dots + 6.28318 \dots n, θ = 5.31393 \dots + 6.28318 \dots n

Pasos de solución

cos (θ) = \frac{7}{3 17}

Simplificar

\frac{7}{3 17} : \frac{7 17}{51}

\frac{7}{3 17}

Multiplicar por el conjugado

\frac{17}{17}

= \frac{7 17}{3 17 17}

31717 = 51

31717

Aplicar las leyes de los exponentes:

a a = a

1717 = 17

= 3 \cdot 17

Multiplicar los numeros:

3 \cdot 17 = 51

= 51

= \frac{7 17}{51}

cos (θ) = \frac{7 17}{51}

Aplicar propiedades trigonométricas inversas

cos (θ) = \frac{7 17}{51}

Soluciones generales para

cos (θ) = \frac{7 17}{51}

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

θ = arccos (\frac{7 17}{51}) + 2 πn, θ = 2 π - arccos (\frac{7 17}{51}) + 2 πn

θ = arccos (\frac{7 17}{51}) + 2 πn, θ = 2 π - arccos (\frac{7 17}{51}) + 2 πn

Mostrar soluciones en forma decimal

θ = 0.96925 \dots + 2 πn, θ = 2 π - 0.96925 \dots + 2 πn

sin (A) - 0.1 \cdot cos (A) = \frac{6.94}{9.8}

t, s = 2 arctan (t)

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

cos (2 x) + 5 cos (x) = 3

sin (θ) = \frac{207.91 \cdot sin ( 31.7697 7 ^{\circ} )}{238.99}