cos(pi+x)+cos(pi+x)=1

Solución

cos (π + x) + cos (π + x) = 1

x = \frac{π}{3} + 2 πn - π, x = \frac{5 π}{3} + 2 πn - π

Pasos de solución

cos (π + x) + cos (π + x) = 1

Simplificar

cos (π + x) + cos (π + x) : 2 cos (π + x)

2 cos (π + x) = 1

Dividir ambos lados entre

2

cos (π + x) = \frac{1}{2}

Soluciones generales para

cos (π + x) = \frac{1}{2}

π + x = \frac{π}{3} + 2 πn, π + x = \frac{5 π}{3} + 2 πn

Resolver

π + x = \frac{π}{3} + 2 πn : x = \frac{π}{3} + 2 πn - π

Resolver

π + x = \frac{5 π}{3} + 2 πn : x = \frac{5 π}{3} + 2 πn - π

x = \frac{π}{3} + 2 πn - π, x = \frac{5 π}{3} + 2 πn - π

1 + 2 sin (θ) = 0

x, z = arcsin (x y)

2 cos (x) - 2 = 0

4 sin^{2} (θ) - 13 sin (θ) + 9 = 0

23 cos^{2} (x) = sin (x)