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Popular >

3(sin(x)-sqrt(2))(4cos(x)-2)=0

Solución

3 (sin (x) - 2) (4 cos (x) - 2) = 0

Solución

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

+1

Grados

x = 6 0^{\circ} + 36 0^{\circ} n, x = 30 0^{\circ} + 36 0^{\circ} n

Pasos de solución

3 (sin (x) - 2) (4 cos (x) - 2) = 0

Resolver cada parte por separado

sin (x) - 2 = 0 or 4 cos (x) - 2 = 0

sin (x) - 2 = 0 :

Sin solución

sin (x) - 2 = 0

Mover

2

al lado derecho

sin (x) - 2 = 0

Sumar

2

a ambos lados

sin (x) - 2 + 2 = 0 + 2

Simplificar

sin (x) = 2

sin (x) = 2

- 1 \leq sin (x) \leq 1

Sin soluci \overset{o}{ˊ} n

4 cos (x) - 2 = 0 : x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

4 cos (x) - 2 = 0

Mover

2

al lado derecho

4 cos (x) - 2 = 0

Sumar

2

a ambos lados

4 cos (x) - 2 + 2 = 0 + 2

Simplificar

4 cos (x) = 2

4 cos (x) = 2

Dividir ambos lados entre

4

4 cos (x) = 2

Dividir ambos lados entre

4

\frac{4 cos ( x )}{4} = \frac{2}{4}

Simplificar

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

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

Soluciones generales para

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

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}

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

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

Combinar toda las soluciones

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

Ejemplos populares

(sin(x))/(120)=(sin(8))/(30)

\frac{sin ( x )}{120} = \frac{sin ( 8 )}{30}

6 cos (θ) = 0

0.175=0.34sin(93.4t)

0.175 = 0.34 sin (93.4 t)

solvefor x,cos(xy)-sin(xy)=2 resolver para

x, cos (x y) - sin (x y) = 2

2sin^2(x)-sin(x)-2=0

2 sin^{2} (x) - sin (x) - 2 = 0