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sin(x*240)=0

Solução

sin (x \cdot 240) = 0

Solução

x = \frac{πn}{120}, x = \frac{π}{240} + \frac{πn}{120}

+1

Graus

x = 0^{\circ} + 1. 5^{\circ} n, x = 0.7 5^{\circ} + 1. 5^{\circ} n

Passos da solução

sin (x \cdot 240) = 0

Soluções gerais para

sin (x 240) = 0

sin (x)

tabela de periodicidade com ciclo de

2 πn

:

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}

x \cdot 240 = 0 + 2 πn, x \cdot 240 = π + 2 πn

x \cdot 240 = 0 + 2 πn, x \cdot 240 = π + 2 πn

Resolver

x 240 = 0 + 2 πn : x = \frac{πn}{120}

x \cdot 240 = 0 + 2 πn

0 + 2 πn = 2 πn

x \cdot 240 = 2 πn

Dividir ambos os lados por

240

x \cdot 240 = 2 πn

Dividir ambos os lados por

240

\frac{x \cdot 240}{240} = \frac{2 πn}{240}

Simplificar

x = \frac{πn}{120}

x = \frac{πn}{120}

Resolver

x 240 = π + 2 πn : x = \frac{π}{240} + \frac{πn}{120}

x \cdot 240 = π + 2 πn

Dividir ambos os lados por

240

x \cdot 240 = π + 2 πn

Dividir ambos os lados por

240

\frac{x \cdot 240}{240} = \frac{π}{240} + \frac{2 πn}{240}

Simplificar

x = \frac{π}{240} + \frac{πn}{120}

x = \frac{π}{240} + \frac{πn}{120}

x = \frac{πn}{120}, x = \frac{π}{240} + \frac{πn}{120}

Exemplos populares

sin^2(x)+1= 3/2

sin^{2} (x) + 1 = \frac{3}{2}

cos (θ) = 0.8126

0 = 2 + cos (θ)

8tan(x/2)+8cos(x)tan(x/2)=1,0<x<360

8 tan (\frac{x}{2}) + 8 cos (x) tan (\frac{x}{2}) = 1, 0^{\circ} < x < 36 0^{\circ}

cos(θ)=-4/5 ,tan(θ)<0

cos (θ) = - \frac{4}{5}, tan (θ) < 0