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Popular >

4cos^2(2x)=3

Solución

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

Solución

x = \frac{π}{12} + πn, x = \frac{11 π}{12} + πn, x = \frac{5 π}{12} + πn, x = \frac{7 π}{12} + πn

+1

Pasos de solución

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

Usando el método de sustitución

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

cos (2 x) = \frac{3}{2} : x = \frac{π}{12} + πn, x = \frac{11 π}{12} + πn

cos (2 x) = - \frac{3}{2} : x = \frac{5 π}{12} + πn, x = \frac{7 π}{12} + πn

Combinar toda las soluciones

x = \frac{π}{12} + πn, x = \frac{11 π}{12} + πn, x = \frac{5 π}{12} + πn, x = \frac{7 π}{12} + πn

Ejemplos populares

- 2 sin (x) = 1

sec(x)cot(x)=-2

sec (x) cot (x) = - 2

sin^2(x)=((4m-9))/8

sin^{2} (x) = \frac{( 4 m - 9 )}{8}

- csc (x) = 1

sin(θ)=-(sqrt(7))/4

sin (θ) = - \frac{7}{4}