solvefor x,3=18cos(x)

Solución

resolver para

x, 3 = 18 cos (x)

x = 1.40334 \dots + 2 πn, x = 2 π - 1.40334 \dots + 2 πn

Grados

x = 80.40593 \dots^{\circ} + 36 0^{\circ} n, x = 279.59406 \dots^{\circ} + 36 0^{\circ} n

Pasos de solución

3 = 18 cos (x)

Intercambiar lados

18 cos (x) = 3

Dividir ambos lados entre

18

18 cos (x) = 3

Dividir ambos lados entre

18

\frac{18 cos ( x )}{18} = \frac{3}{18}

Simplificar

cos (x) = \frac{1}{6}

cos (x) = \frac{1}{6}

Aplicar propiedades trigonométricas inversas

cos (x) = \frac{1}{6}

Soluciones generales para

cos (x) = \frac{1}{6}

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

x = arccos (\frac{1}{6}) + 2 πn, x = 2 π - arccos (\frac{1}{6}) + 2 πn

x = arccos (\frac{1}{6}) + 2 πn, x = 2 π - arccos (\frac{1}{6}) + 2 πn

Mostrar soluciones en forma decimal

x = 1.40334 \dots + 2 πn, x = 2 π - 1.40334 \dots + 2 πn

x, 2 sin (\frac{π ( x - 2 )}{6}) = 1

(1 - sin (x)) (1 - sin (x)) = cos^{2} (x)

2 cos (x) = cos^{2} (x) - 1

2 sin (v) csc (v) - csc (v) = 4 sin (v) - 2

2 cos (2 x) = 4 cos (x)