4sin^2(x/3)=1

Solución

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

x = \frac{π}{2} + 6 πn, x = \frac{5 π}{2} + 6 πn, x = \frac{7 π}{2} + 6 πn, x = \frac{11 π}{2} + 6 πn

Pasos de solución

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

Usando el método de sustitución

sin (\frac{x}{3}) = \frac{1}{2}, sin (\frac{x}{3}) = - \frac{1}{2}

sin (\frac{x}{3}) = \frac{1}{2} : x = \frac{π}{2} + 6 πn, x = \frac{5 π}{2} + 6 πn

sin (\frac{x}{3}) = - \frac{1}{2} : x = \frac{7 π}{2} + 6 πn, x = \frac{11 π}{2} + 6 πn

Combinar toda las soluciones

x = \frac{π}{2} + 6 πn, x = \frac{5 π}{2} + 6 πn, x = \frac{7 π}{2} + 6 πn, x = \frac{11 π}{2} + 6 πn

cos (2 x - \frac{π}{4}) = \frac{2}{2}

sin (5 t) - 1 = 0

2 sin (θ) cos (θ) - sin (θ) = 0

9 sin (x) tan (x) - 2 tan (x) = 0

3 cot (3 x) + 1 = 0