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Popular >

4cos^2(2x)=1

Solución

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

Solución

x = \frac{π}{6} + πn, x = \frac{5 π}{6} + πn, x = \frac{π}{3} + πn, x = \frac{2 π}{3} + πn

+1

Pasos de solución

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

Usando el método de sustitución

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

cos (2 x) = \frac{1}{2} : x = \frac{π}{6} + πn, x = \frac{5 π}{6} + πn

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

Combinar toda las soluciones

x = \frac{π}{6} + πn, x = \frac{5 π}{6} + πn, x = \frac{π}{3} + πn, x = \frac{2 π}{3} + πn

Ejemplos populares

sec (x) = - 4.5973

2cos(9x)=2-2cos(9x)

2 cos (9 x) = 2 - 2 cos (9 x)

sin(2x)=3sqrt(2),-pi<= x<= pi

sin (2 x) = 32, - π \leq x \leq π

5 cos^{2} (x) - 2 = 0

cos^2(x)+sec^2(x)=11

cos^{2} (x) + sec^{2} (x) = 11