gwlbogart
gwlbogart gwlbogart
  • 03-05-2020
  • Mathematics
contestada

Sin (3x+19)=Cos(5x-25)
What is the value of x?
A) 6
B) 12
C) 18
D) 24

Respuesta :

jimrgrant1 jimrgrant1
  • 03-05-2020

Answer:

B

Step-by-step explanation:

Using the cofunction identity

sin x = cos(90 - x)

Given

sin(3x + 19) = cos(5x - 25), then

3x + 19 = 90 - (5x - 25)

3x + 19 = 90 - 5x + 25

3x + 19 = 115 - 5x ( add 5x to both sides )

8x + 19 = 115 ( subtract 19 from both sides )

8x = 96 ( divide both sides by 8 )

x = 12 → B

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anniecole71
anniecole71 anniecole71
  • 04-05-2020
12 B
Took the test before
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