English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

52800=((1500)^2sin(x))/(32.2)

Solución

52800 = \frac{( 1500 ) ^{2} sin ( x )}{32.2}

x = 0.85661 \dots + 2 πn, x = π - 0.85661 \dots + 2 πn

Grados

x = 49.08015 \dots^{\circ} + 36 0^{\circ} n, x = 130.91984 \dots^{\circ} + 36 0^{\circ} n

Pasos de solución

52800 = \frac{( 1500 ) ^{2} sin ( x )}{32.2}

Intercambiar lados

\frac{150 0 ^{2} sin ( x )}{32.2} = 52800

Multiplicar ambos lados por

32.2

\frac{150 0 ^{2} sin ( x )}{32.2} = 52800

Multiplicar ambos lados por

32.2

\frac{32.2 \cdot 150 0 ^{2} sin ( x )}{32.2} = 52800 \cdot 32.2

Simplificar

2250000 sin (x) = 1700160

2250000 sin (x) = 1700160

Dividir ambos lados entre

2250000

2250000 sin (x) = 1700160

Dividir ambos lados entre

2250000

\frac{2250000 sin ( x )}{2250000} = \frac{1700160}{2250000}

Simplificar

sin (x) = \frac{7084}{9375}

sin (x) = \frac{7084}{9375}

Aplicar propiedades trigonométricas inversas

sin (x) = \frac{7084}{9375}

Soluciones generales para

sin (x) = \frac{7084}{9375}

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

x = arcsin (\frac{7084}{9375}) + 2 πn, x = π - arcsin (\frac{7084}{9375}) + 2 πn

x = arcsin (\frac{7084}{9375}) + 2 πn, x = π - arcsin (\frac{7084}{9375}) + 2 πn

Mostrar soluciones en forma decimal

x = 0.85661 \dots + 2 πn, x = π - 0.85661 \dots + 2 πn

7 cos (3 x) = 2, 0 \leq x < 2 π

6 cos (2 x) = 3

arctan (\frac{x}{42}) = 57

3 tan^{2} (x) = 19

3.6 = 0.116 cos (4.17 x)