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Lilit [14]
3 years ago
12

What is cos theta of tan theta= 8/5?

Mathematics
2 answers:
snow_lady [41]3 years ago
7 0
I'd suggest you write:

":<span>What is cos theta   IF   tan theta= 8/5?

tan theta = opp / adj = 8 / 5, so we know that opp = 8 and adj = 5.  Then the length of the hypotenuse is sqrt(8^2+5^2) = 9.43.

Thus, the cosine of theta / cosine of this angle is

adj           5
----- = ---------- , or about 0.53.
hyp       9.43</span>
sdas [7]3 years ago
3 0
The tangent ratio is the side opposite the reference angle over the side adjacent the reference angle.  If you set up a right triangle in the first quadrant where both x and y are positive, the side opposite the reference angle is 8 and the stationary part of the angle is on the x axis as 5.  We are now lacking the hypotenuse measure of this right triangle.  Find it with Pythagorean's Theorem.  c^2 - 8^2 + 5^2.  c^2 = 64 + 25, so the length of the hypotenuse is sqrt 89.  The cosine ratio is the side adjacent over the hypotenuse, so the cosine of that same angle is 5/sqrt89.
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Answer:

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OlgaM077 [116]

Answer:

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Explanation:

The <em>objective function</em> is the function that you want to optimize: usually minimize in the case of costs, and maximize in the case of revenues or profits.

In this case, you know the <em>profits</em> that a manufacturer earns from two types of <em>bottled coffe drinks</em>: <em>cappuccinos</em> and <em>cafés au lait</em>.

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