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Popular >

2cos(3θ)=2

Solución

2 cos (3 θ) = 2

Solución

θ = \frac{2 πn}{3}

+1

Grados

θ = 0^{\circ} + 12 0^{\circ} n

Pasos de solución

2 cos (3 θ) = 2

Dividir ambos lados entre

2

2 cos (3 θ) = 2

Dividir ambos lados entre

2

\frac{2 cos ( 3 θ )}{2} = \frac{2}{2}

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

tan(θ)=2,0<θ<(pi/2),sin(θ/2)

tan (θ) = 2, 0 < θ < (\frac{π}{2}), sin (\frac{θ}{2})

sinh (a) = \frac{1}{2}

sin(x)=(-1}{\frac{sqrt(5))/2}

sin (x) = \frac{- 1}{\frac{5}{2}}

2csc^2(θ)-3cot(θ)+3=0

2 csc^{2} (θ) - 3 cot (θ) + 3 = 0

(2sin(x)+1)/(sqrt(cos(x)))=0

\frac{2 sin ( x ) + 1}{cos ( x )} = 0