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5cos(x)+2=0,0<= x<= 2pi

Solución

5 cos (x) + 2 = 0, 0 \leq x \leq 2 π

x = 1.98231 \dots, x = - 1.98231 \dots + 2 π

Grados

x = 113.57817 \dots^{\circ}, x = 246.42182 \dots^{\circ}

Pasos de solución

5 cos (x) + 2 = 0, 0 \leq x \leq 2 π

Mover

2

al lado derecho

5 cos (x) + 2 = 0

Restar

2

de ambos lados

5 cos (x) + 2 - 2 = 0 - 2

Simplificar

5 cos (x) = - 2

5 cos (x) = - 2

Dividir ambos lados entre

5

5 cos (x) = - 2

Dividir ambos lados entre

5

\frac{5 cos ( x )}{5} = \frac{- 2}{5}

Simplificar

cos (x) = - \frac{2}{5}

cos (x) = - \frac{2}{5}

Aplicar propiedades trigonométricas inversas

cos (x) = - \frac{2}{5}

Soluciones generales para

cos (x) = - \frac{2}{5}

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

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

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

Soluciones para el rango

0 \leq x \leq 2 π

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

Mostrar soluciones en forma decimal

x = 1.98231 \dots, x = - 1.98231 \dots + 2 π

2 sin (x) cos (x) - sin (2 x) cos (2 x) = 0

cos (x) = \frac{21}{29}

\frac{4}{sin ( 104.4 8 ^{\circ} )} = \frac{2}{sin ( a )}

sin (x + \frac{3 π}{2}) - cos (x + \frac{π}{2}) = 1

csc (x) - cot (x) = 1