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Popular >

cos(a-5)=0.675

Solución

cos (a - 5) = 0.675

Solución

a = 0.82983 \dots + 2 πn + 5, a = 2 π - 0.82983 \dots + 2 πn + 5

+1

Grados

a = 334.02474 \dots^{\circ} + 36 0^{\circ} n, a = 598.93304 \dots^{\circ} + 36 0^{\circ} n

Pasos de solución

cos (a - 5) = 0.675

Aplicar propiedades trigonométricas inversas

cos (a - 5) = 0.675

Soluciones generales para

cos (a - 5) = 0.675

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

a - 5 = arccos (0.675) + 2 πn, a - 5 = 2 π - arccos (0.675) + 2 πn

a - 5 = arccos (0.675) + 2 πn, a - 5 = 2 π - arccos (0.675) + 2 πn

Resolver

a - 5 = arccos (0.675) + 2 πn : a = arccos (0.675) + 2 πn + 5

a - 5 = arccos (0.675) + 2 πn

Mover

5

al lado derecho

a - 5 = arccos (0.675) + 2 πn

Sumar

5

a ambos lados

a - 5 + 5 = arccos (0.675) + 2 πn + 5

Simplificar

a = arccos (0.675) + 2 πn + 5

a = arccos (0.675) + 2 πn + 5

Resolver

a - 5 = 2 π - arccos (0.675) + 2 πn : a = 2 π - arccos (0.675) + 2 πn + 5

a - 5 = 2 π - arccos (0.675) + 2 πn

Mover

5

al lado derecho

a - 5 = 2 π - arccos (0.675) + 2 πn

Sumar

5

a ambos lados

a - 5 + 5 = 2 π - arccos (0.675) + 2 πn + 5

Simplificar

a = 2 π - arccos (0.675) + 2 πn + 5

a = 2 π - arccos (0.675) + 2 πn + 5

a = arccos (0.675) + 2 πn + 5, a = 2 π - arccos (0.675) + 2 πn + 5

Mostrar soluciones en forma decimal

a = 0.82983 \dots + 2 πn + 5, a = 2 π - 0.82983 \dots + 2 πn + 5

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