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Popular >

2sin^2(θ)+sin^2(θ)=0

Solución

2 sin^{2} (θ) + sin^{2} (θ) = 0

Solución

θ = 2 πn, θ = π + 2 πn

+1

Grados

θ = 0^{\circ} + 36 0^{\circ} n, θ = 18 0^{\circ} + 36 0^{\circ} n

Pasos de solución

2 sin^{2} (θ) + sin^{2} (θ) = 0

Simplificar

2 sin^{2} (θ) + sin^{2} (θ) : 3 sin^{2} (θ)

2 sin^{2} (θ) + sin^{2} (θ)

Sumar elementos similares:

2 sin^{2} (θ) + sin^{2} (θ) = 3 sin^{2} (θ)

= 3 sin^{2} (θ)

3 sin^{2} (θ) = 0

Dividir ambos lados entre

3

3 sin^{2} (θ) = 0

Dividir ambos lados entre

3

3 sin^{2} (θ) = 0

Dividir ambos lados entre

3

\frac{3 sin ^{2} ( θ )}{3} = \frac{0}{3}

Simplificar

sin^{2} (θ) = 0

sin^{2} (θ) = 0

Aplicar la regla

x^{n} = 0 \Rightarrow x = 0

sin (θ) = 0

Soluciones generales para

sin (θ) = 0

tabla de valores periódicos con

2 πn

intervalos:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

θ = 0 + 2 πn, θ = π + 2 πn

θ = 0 + 2 πn, θ = π + 2 πn

Resolver

θ = 0 + 2 πn : θ = 2 πn

θ = 0 + 2 πn

0 + 2 πn = 2 πn

θ = 2 πn

θ = 2 πn, θ = π + 2 πn

Ejemplos populares

cos(θ)=-0.42,0<= θ<360

cos (θ) = - 0.42, 0^{\circ} \leq θ < 36 0^{\circ}

sin(2x)= 1/2 ,0<x<2pi

sin (2 x) = \frac{1}{2}, 0 < x < 2 π

4sin^2(θ)+2cos(θ)=3

4 sin^{2} (θ) + 2 cos (θ) = 3

1715/70 =tan(45+θ/2)

\frac{1715}{70} = tan (4 5^{\circ} + \frac{θ}{2})

sin(θ)=-(sqrt(3))/2 ,pi<θ<(3pi)/2

sin (θ) = - \frac{3}{2}, π < θ < \frac{3 π}{2}