Question

raiz cuadrada de 3 sen x - cos x =1​

Answer 1

Respuesta:

Coronita

Explicación paso a paso:

V3 sen x = 1 - cos x

3 sen^2 x = 1 - 2 cos x + cos^2 x

3 (1 - cos^2 x) -1 + 2cos x - cos ^2 x = 0

3 - 3 cos^2 x -1 + 2cos x - cos ^2 x = 0

-4 cos^2 x + 2 cos x + 2 = 0

2 cos^2 x - cos x -1 = 0

cosx = (1 +- Raiz ( 1 +8))/4

cos x = (1+-3)/4

cos x = 1------> x = 0º + 2 k pi

cos x = -1/2 ----------> x = 120º + 2kpi ó cos x = 240º + 2kpi