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Popular >

cos(x+2pi)=1-cos(x-2pi)

Solución

cos (x + 2 π) = 1 - cos (x - 2 π)

Solución

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

+1

Pasos de solución

cos (x + 2 π) = 1 - cos (x - 2 π)

Re-escribir usando identidades trigonométricas

cos (x) = 1 - cos (x)

Restar

1 - cos (x)

de ambos lados

2 cos (x) - 1 = 0

Mover

1

al lado derecho

2 cos (x) = 1

Dividir ambos lados entre

2

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

Soluciones generales para

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

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

Ejemplos populares

sin^4(x/3)+cos^4(x/3)= 5/8

sin^{4} (\frac{x}{3}) + cos^{4} (\frac{x}{3}) = \frac{5}{8}

arctan(x)=(85)/((150/2-(65/4)))

arctan (x) = \frac{85}{( \frac{150}{2} - ( \frac{65}{4} ) )}

4 cos^{2} (2 x) = 3

- 2 sin (x) = 1

sec(x)cot(x)=-2

sec (x) cot (x) = - 2