3.8=11.8sin(3.92232*t)

Solución

3.8 = 11.8 sin (3.92232 \cdot t)

t = \frac{0.32787 \dots}{3.92232} + \frac{2 πn}{3.92232}, t = \frac{π}{3.92232} - \frac{0.32787 \dots}{3.92232} + \frac{2 πn}{3.92232}

Pasos de solución

3.8 = 11.8 sin (3.92232 t)

Intercambiar lados

11.8 sin (3.92232 t) = 3.8

Multiplicar ambos lados por

10

118 sin (3.92232 t) = 38

Dividir ambos lados entre

118

sin (3.92232 t) = \frac{19}{59}

Aplicar propiedades trigonométricas inversas

3.92232 t = arcsin (\frac{19}{59}) + 2 πn, 3.92232 t = π - arcsin (\frac{19}{59}) + 2 πn

Resolver

3.92232 t = arcsin (\frac{19}{59}) + 2 πn : t = \frac{arcsin ( \frac{19}{59} )}{3.92232} + \frac{2 πn}{3.92232}

Resolver

3.92232 t = π - arcsin (\frac{19}{59}) + 2 πn : t = \frac{π}{3.92232} - \frac{arcsin ( \frac{19}{59} )}{3.92232} + \frac{2 πn}{3.92232}

t = \frac{arcsin ( \frac{19}{59} )}{3.92232} + \frac{2 πn}{3.92232}, t = \frac{π}{3.92232} - \frac{arcsin ( \frac{19}{59} )}{3.92232} + \frac{2 πn}{3.92232}

Mostrar soluciones en forma decimal

t = \frac{0.32787 \dots}{3.92232} + \frac{2 πn}{3.92232}, t = \frac{π}{3.92232} - \frac{0.32787 \dots}{3.92232} + \frac{2 πn}{3.92232}

2 cos^{2} (x) - sin (2 x) - 1 = 0

sin (θ) = 0.84802194

x, sin (x + 6 0^{\circ}) = cos (y - 3 7^{\circ})

y, z = x^{2} sin (x y^{2})

tan (t) = \frac{4}{3}