mirdlesdabest mirdlesdabest
  • 17-03-2020
  • Mathematics
contestada

find the value of x that satisfies the identity cos(x+30) = sin(x)

Respuesta :

jimrgrant1 jimrgrant1
  • 17-03-2020

Answer:

x = 30

Step-by-step explanation:

Using the cofunction identity

cos x° = sin(90 - x)°

Given

cos(x + 30)° = sin x°, then

x + 30 = 90 - x ( add x to both sides )

2x + 30 = 90 ( subtract 30 from both sides )

2x = 60 ( divide both sides by 2 )

x = 30

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