cos(x)=-cos(pi/7)

Solución

cos (x) = - cos (\frac{π}{7})

x = 2.69279 \dots + 2 πn, x = - 2.69279 \dots + 2 πn

Grados

x = 154.28571 \dots^{\circ} + 36 0^{\circ} n, x = - 154.28571 \dots^{\circ} + 36 0^{\circ} n

Pasos de solución

cos (x) = - cos (\frac{π}{7})

Aplicar propiedades trigonométricas inversas

cos (x) = - cos (\frac{π}{7})

Soluciones generales para

cos (x) = - cos (\frac{π}{7})

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

x = arccos (- cos (\frac{π}{7})) + 2 πn, x = - arccos (- cos (\frac{π}{7})) + 2 πn

x = arccos (- cos (\frac{π}{7})) + 2 πn, x = - arccos (- cos (\frac{π}{7})) + 2 πn

Mostrar soluciones en forma decimal

x = 2.69279 \dots + 2 πn, x = - 2.69279 \dots + 2 πn

5 cos (x) - sin (x) = 1

tan (2 θ) = - 1.75

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

tan (t) = \frac{7}{24}

cos (x) = 0.59