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Popular >

cos(x)tan^2(x)-3cos(x)=0

Solución

cos (x) tan^{2} (x) - 3 cos (x) = 0

Solución

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

+1

Pasos de solución

cos (x) tan^{2} (x) - 3 cos (x) = 0

Factorizar

cos (x) tan^{2} (x) - 3 cos (x) : cos (x) (tan (x) + 3) (tan (x) - 3)

cos (x) (tan (x) + 3) (tan (x) - 3) = 0

Resolver cada parte por separado

cos (x) = 0 or tan (x) + 3 = 0 or tan (x) - 3 = 0

cos (x) = 0 : x = \frac{π}{2} + 2 πn, x = \frac{3 π}{2} + 2 πn

tan (x) + 3 = 0 : x = \frac{2 π}{3} + πn

tan (x) - 3 = 0 : x = \frac{π}{3} + πn

Combinar toda las soluciones

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

Siendo que la ecuación esta indefinida para:

\frac{π}{2} + 2 πn, \frac{3 π}{2} + 2 πn

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

Ejemplos populares

2sin(x)+3cot(x)-3csc(x)=0

2 sin (x) + 3 cot (x) - 3 csc (x) = 0

cos^2(θ)-3cos(θ)+2=0

cos^{2} (θ) - 3 cos (θ) + 2 = 0

cos(2x-pi/6)=-1/2 , pi/2 <= x<pi

cos (2 x - \frac{π}{6}) = - \frac{1}{2}, \frac{π}{2} \leq x < π

((sin(x)))/((4.2))=((sin(95)))/((10.26))

\frac{( sin ( x ) )}{( 4.2 )} = \frac{( sin ( 9 5 ^{\circ} ) )}{( 10.26 )}

-sin(x)=-cos(x)

- sin (x) = - cos (x)