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Popular >

2sec(x)tan(x)+sec^2(x)=0

Solución

2 sec (x) tan (x) + sec^{2} (x) = 0

Solución

x = \frac{7 π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn

+1

Pasos de solución

2 sec (x) tan (x) + sec^{2} (x) = 0

Factorizar

2 sec (x) tan (x) + sec^{2} (x) : sec (x) (2 tan (x) + sec (x))

sec (x) (2 tan (x) + sec (x)) = 0

Resolver cada parte por separado

sec (x) = 0 or 2 tan (x) + sec (x) = 0

sec (x) = 0 :

Sin solución

2 tan (x) + sec (x) = 0 : x = \frac{7 π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn

Combinar toda las soluciones

x = \frac{7 π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn

Ejemplos populares

sec^2(x)+4tan(x)=6

sec^{2} (x) + 4 tan (x) = 6

sin^2(θ)=4-2cos^2(θ)

sin^{2} (θ) = 4 - 2 cos^{2} (θ)

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

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

arcsin(x)= pi/7

arcsin (x) = \frac{π}{7}

2 sin (2 θ) = - 1