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Citrus2011 [14]
2 years ago
15

Find all angles between 0° and 180° satisfying the given equation. Round your answer to one decimal place. (Enter your answers a

s a comma-separated list.) cos() = 5/6
(don't bother answering if you wont give an explanation lol)

Mathematics
1 answer:
vova2212 [387]2 years ago
7 0

By using the concepts of <em>direct</em> and <em>inverse trigonometric</em> expressions, the angles that represents the <em>trigonometric</em> function cos 5/6 are θ₁ ≈ 33.557° and θ₂ ≈ 326.443°.

<h3>How to determine the possible angles of a given trigonometric relationship</h3>

Cosine are <em>trigonometric</em> functions whose period is 360°. Cosine is <em>positive</em> both for the <em>first</em> and <em>fourth</em> quadrants. Thus, the two angles associated to the given <em>trigonometric</em> expression are by inverse <em>trigonometric</em> functions:

θ₁ ≈ 33.557°, θ₂ ≈ 326.443°

To learn more on trigonometric functions: brainly.com/question/14746686

#SPJ1

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Answer:

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Step-by-step explanation:

Given that

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Given that

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Then:

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Given that

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Then:

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Given that

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Then:

mQOS + mROP + mQOR + mSOP = 360°

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mQOR = (360°- 250°)/2

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And (QOR and SOP are central angles):

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Finally:

measure of arc PQR, mPQR = mQOR + mSOP + mQOS = 55° + 55° + 125° = 235°

measure of arc RPQ, mRPQ = mROP + mSOP + mQOS = 125° + 55° + 125° = 305°

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