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Popular >

sin(((t^2))/2)=-1

Solución

sin (\frac{( t ^{2} )}{2}) = - 1

Solución

t = 3 π + 4 πn, t = - 3 π + 4 πn

+1

Grados

t = 0^{\circ} + 268.68695 \dots^{\circ} n, t = 0^{\circ} - 268.68695 \dots^{\circ} n

Pasos de solución

sin (\frac{( t ^{2} )}{2}) = - 1

Soluciones generales para

sin (\frac{t ^{2}}{2}) = - 1

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} 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}

\frac{t ^{2}}{2} = \frac{3 π}{2} + 2 πn

\frac{t ^{2}}{2} = \frac{3 π}{2} + 2 πn

Resolver

\frac{t ^{2}}{2} = \frac{3 π}{2} + 2 πn : t = 3 π + 4 πn, t = - 3 π + 4 πn

\frac{t ^{2}}{2} = \frac{3 π}{2} + 2 πn

Multiplicar ambos lados por

2

\frac{t ^{2}}{2} = \frac{3 π}{2} + 2 πn

Multiplicar ambos lados por

2

\frac{2 t ^{2}}{2} = 2 \cdot \frac{3 π}{2} + 2 \cdot 2 πn

Simplificar

\frac{2 t ^{2}}{2} = 2 \cdot \frac{3 π}{2} + 2 \cdot 2 πn

Simplificar

\frac{2 t ^{2}}{2} : t^{2}

\frac{2 t ^{2}}{2}

Dividir:

\frac{2}{2} = 1

= t^{2}

Simplificar

2 \cdot \frac{3 π}{2} + 2 \cdot 2 πn : 3 π + 4 πn

2 \cdot \frac{3 π}{2} + 2 \cdot 2 πn

2 \cdot \frac{3 π}{2} = 3 π

2 \cdot \frac{3 π}{2}

Multiplicar fracciones:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{3 π 2}{2}

Eliminar los terminos comunes:

2

= 3 π

2 \cdot 2 πn = 4 πn

2 \cdot 2 πn

Multiplicar los numeros:

2 \cdot 2 = 4

= 4 πn

= 3 π + 4 πn

t^{2} = 3 π + 4 πn

t^{2} = 3 π + 4 πn

t^{2} = 3 π + 4 πn

Para

x^{2} = f (a)

las soluciones son

x = f (a), - f (a)

t = 3 π + 4 πn, t = - 3 π + 4 πn

t = 3 π + 4 πn, t = - 3 π + 4 πn

Ejemplos populares

9sin^2(x)tan(x)=4tan(x)

9 sin^{2} (x) tan (x) = 4 tan (x)

cos^2(x)-3cos(x)=0

cos^{2} (x) - 3 cos (x) = 0

- 2 cos (θ) = 0

2cos^2(x)+15sin(x)=9

2 cos^{2} (x) + 15 sin (x) = 9

cot (θ) = 1.413