4cos(x)+3cos(x)=5

Solución

4 cos (x) + 3 cos (x) = 5

x = 0.77519 \dots + 2 πn, x = 2 π - 0.77519 \dots + 2 πn

Grados

x = 44.41530 \dots^{\circ} + 36 0^{\circ} n, x = 315.58469 \dots^{\circ} + 36 0^{\circ} n

Pasos de solución

4 cos (x) + 3 cos (x) = 5

Simplificar

4 cos (x) + 3 cos (x) : 7 cos (x)

4 cos (x) + 3 cos (x)

Sumar elementos similares:

4 cos (x) + 3 cos (x) = 7 cos (x)

= 7 cos (x)

7 cos (x) = 5

Dividir ambos lados entre

7

7 cos (x) = 5

Dividir ambos lados entre

7

\frac{7 cos ( x )}{7} = \frac{5}{7}

Simplificar

cos (x) = \frac{5}{7}

cos (x) = \frac{5}{7}

Aplicar propiedades trigonométricas inversas

cos (x) = \frac{5}{7}

Soluciones generales para

cos (x) = \frac{5}{7}

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = 2 π - arccos (a) + 2 πn

x = arccos (\frac{5}{7}) + 2 πn, x = 2 π - arccos (\frac{5}{7}) + 2 πn

x = arccos (\frac{5}{7}) + 2 πn, x = 2 π - arccos (\frac{5}{7}) + 2 πn

Mostrar soluciones en forma decimal

x = 0.77519 \dots + 2 πn, x = 2 π - 0.77519 \dots + 2 πn

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

3 sin (x) = 3 \cdot sin (x) + 3 cos (x) + 3 sin (x)

csc (θ) + 1 = 0, (0, 2 π)

x, y^{2} = - 2 tan (2 x)

2 cos^{2} (a) - 3 cos (a) + 1 = 0