USofhj USofhj
  • 02-04-2020
  • Mathematics
contestada

someone help me please.

someone help me please class=

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MathPhys
MathPhys MathPhys
  • 02-04-2020

Step-by-step explanation:

½ tan² x − 2 cos² x = 1

tan² x − 4 cos² x = 2

sin² x − 4 cos⁴ x = 2 cos² x

1 − cos² x − 4 cos⁴ x = 2 cos² x

0 = 4 cos⁴ x + 3 cos² x − 1

0 = (cos² x + 1) (4 cos² x − 1)

0 = 4 cos² x − 1

4 cos² x = 1

cos² x = ¼

cos x = ±½

x = π/3, 2π/3, 4π/3, 5π/3

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