3 years ago

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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