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Popular >

8=8cos(3θ)

Solución

8 = 8 cos (3 θ)

Solución

θ = \frac{2 πn}{3}

+1

Grados

θ = 0^{\circ} + 12 0^{\circ} n

Pasos de solución

8 = 8 cos (3 θ)

Intercambiar lados

8 cos (3 θ) = 8

Dividir ambos lados entre

8

8 cos (3 θ) = 8

Dividir ambos lados entre

8

\frac{8 cos ( 3 θ )}{8} = \frac{8}{8}

Simplificar

cos (3 θ) = 1

cos (3 θ) = 1

Soluciones generales para

cos (3 θ) = 1

cos (x)

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} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{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} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

3 θ = 0 + 2 πn

3 θ = 0 + 2 πn

Resolver

3 θ = 0 + 2 πn : θ = \frac{2 πn}{3}

3 θ = 0 + 2 πn

0 + 2 πn = 2 πn

3 θ = 2 πn

Dividir ambos lados entre

3

3 θ = 2 πn

Dividir ambos lados entre

3

\frac{3 θ}{3} = \frac{2 πn}{3}

Simplificar

θ = \frac{2 πn}{3}

θ = \frac{2 πn}{3}

θ = \frac{2 πn}{3}

Ejemplos populares

sinh (2 x) = 0

cos^2(x)= 1/2+1/2 cos^2(x)

cos^{2} (x) = \frac{1}{2} + \frac{1}{2} cos^{2} (x)

3tan(x)= 1/(cos(x))

3 tan (x) = \frac{1}{cos ( x )}

cos(x)-sin(x)=0,-pi<= x<= pi

cos (x) - sin (x) = 0, - π \leq x \leq π

5 - tan^{2} (x) = 4