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Popular >

800cos(x)+800cos^2(x)-800sin^2(x)=0

Solución

800 cos (x) + 800 cos^{2} (x) - 800 sin^{2} (x) = 0

Solución

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

+1

Pasos de solución

800 cos (x) + 800 cos^{2} (x) - 800 sin^{2} (x) = 0

Re-escribir usando identidades trigonométricas

- 800 + 1600 cos^{2} (x) + 800 cos (x) = 0

Usando el método de sustitución

cos (x) = \frac{1}{2}, cos (x) = - 1

cos (x) = \frac{1}{2} : x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

cos (x) = - 1 : x = π + 2 πn

Combinar toda las soluciones

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

Ejemplos populares

csc (x) = \frac{7}{3}

3-cos(x)=3-sin(x)

3 - cos (x) = 3 - sin (x)

cos(t)= 1/3 ,0<t< 1/2 pi

cos (t) = \frac{1}{3}, 0 < t < \frac{1}{2} π

solvefor x,sin(x)-cos(x)=1 resolver para

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

solvefor x,sin(x)cos(y)=1 resolver para

x, sin (x) cos (y) = 1