100+60sin((7pi)/3 x)=100,0<= x<= 1

Solución

100 + 60 sin (\frac{7 π}{3} x) = 100, 0 \leq x \leq 1

x = 0, x = \frac{3}{7}, x = \frac{6}{7}

Pasos de solución

100 + 60 sin (\frac{7 π}{3} x) = 100, 0 \leq x \leq 1

Restar

100

de ambos lados

100 + 60 sin (\frac{7 π}{3} x) - 100 = 100 - 100

Simplificar

60 sin (\frac{7 π}{3} x) = 0

Dividir ambos lados entre

60

sin (\frac{7 π}{3} x) = 0

Soluciones generales para

sin (\frac{7 π}{3} x) = 0

\frac{7 π}{3} x = 0 + 2 πn, \frac{7 π}{3} x = π + 2 πn

Resolver

\frac{7 π}{3} x = 0 + 2 πn : x = \frac{6 n}{7}

Resolver

\frac{7 π}{3} x = π + 2 πn : x = \frac{3}{7} + \frac{6 n}{7}

x = \frac{6 n}{7}, x = \frac{3}{7} + \frac{6 n}{7}

Soluciones para el rango

0 \leq x \leq 1

x = 0, x = \frac{3}{7}, x = \frac{6}{7}

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