tyefofficial tyefofficial
  • 17-05-2019
  • Mathematics
contestada

Solve the equation for all real values of x.

a.pi/6
b.pi k,pi/6
c. pik
d.pi/6+pik

Solve the equation for all real values of x api6 bpi kpi6 c pik dpi6pik class=

Respuesta :

MathPhys
MathPhys MathPhys
  • 17-05-2019

Answer:

C

Step-by-step explanation:

1 / (cos x - sin x) = cos x + sin x

Multiply:

1 = (cos x + sin x) (cos x - sin x)

Distribute:

1 = cos² x - sin² x

Use trig identity:

sin² x + cos² x = cos² x - sin² x

2 sin² x = 0

sin x = 0

x = πk

Answer C.

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