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maxonik [38]
3 years ago
15

Find a solution for the equation. Assume that all angles are a cute angles. tan(3Y +32) = cot(Y+32°)

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
5 0

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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