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Popular >

5cos^2(θ)-1=cos^2(θ)

Solución

5 cos^{2} (θ) - 1 = cos^{2} (θ)

Solución

θ = \frac{π}{3} + 2 πn, θ = \frac{5 π}{3} + 2 πn, θ = \frac{2 π}{3} + 2 πn, θ = \frac{4 π}{3} + 2 πn

+1

Pasos de solución

5 cos^{2} (θ) - 1 = cos^{2} (θ)

Usando el método de sustitución

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

cos (θ) = \frac{1}{2} : θ = \frac{π}{3} + 2 πn, θ = \frac{5 π}{3} + 2 πn

cos (θ) = - \frac{1}{2} : θ = \frac{2 π}{3} + 2 πn, θ = \frac{4 π}{3} + 2 πn

Combinar toda las soluciones

θ = \frac{π}{3} + 2 πn, θ = \frac{5 π}{3} + 2 πn, θ = \frac{2 π}{3} + 2 πn, θ = \frac{4 π}{3} + 2 πn

Ejemplos populares

cos (x) = \frac{2}{9}

solvefor x,tan(x)+tan(y)=1 resolver para

x, tan (x) + tan (y) = 1

solvefor x,4cos(x)cos(y)=3 resolver para

x, 4 cos (x) cos (y) = 3

sin (x) = 0, 57

2 \cdot sin (x) = 1