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Alinara [238K]
3 years ago
9

What is the approximate average rate of change for the function f(x)

Mathematics
1 answer:
Sonja [21]3 years ago
6 0

Answer:

b

Step-by-step explanation:

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Find all angles, 0≤θ<360, that satisfy the equation below, to the nearest 10th of a degree.
natta225 [31]

Since cosine is negative in the second and 3rd quadrant, the required angles are 120 and 240 degrees

<h3>Trigonometry identity</h3>

Trigonometry identities are expressed as a function of cosine, sine and tangent.

Given the trigonometry expression shown

4cos2θ+9=−14cosθ

Equate to zero

4cos2θ+9 + 14cosθ = 0

According to trig identity

cos2θ = 2cos²θ - 1

Substitute to have:

4(2cos²θ - 1)+9 + 14cosθ = 0

Expand

8cos²θ - 4 + 9 + 14cosθ = 0

8cos²θ+ 14cosθ + 5 = 0

let P = cosθ to have;

8P² + 14P + 5 = 0

Factorize the result

8P² + 10P + 4P + 5 = 0

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(2P+1) = 0 and 4P+5 = 0
2P = -1 and P = -5/4

P = -1/2 and -5/4

Recall that P = cosθ

If P = -1/2

cosθ = -1/2

θ = -60

Since cosine is negative in the second and 3rd quadrant, the required angles are 120 and 240 degrees

Learn more on trigonometry identity here: brainly.com/question/24349828

#SPJ1

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2 years ago
Helppppp!<br> <img src="https://tex.z-dn.net/?f=5x-6%3D3x-8" id="TexFormula1" title="5x-6=3x-8" alt="5x-6=3x-8" align="absmiddle
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Answer: X = -1

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3 years ago
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