justin9875 justin9875
  • 03-11-2020
  • Mathematics
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Find a solution for the equation. Assume that all angles are a cute angles. tan(3Y +32) = cot(Y+32°)

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sqdancefan
sqdancefan sqdancefan
  • 03-11-2020

9514 1404 393

Answer:

  Y = 6.5°

Step-by-step explanation:

We know that tan(x) = cot(90°-x), so we could rewrite the equation as ...

  cot(90 -(3Y+32)) = cot(Y+32)

  58 -3Y = Y +32

  26 = 4Y

  6.5 = Y

One solution is Y = 6.5°.

_____

Additional solutions are found at integral multiples of 45° added to this value.

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