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VMariaS [17]
3 years ago
10

If cos Theta < 0, which quadrent(s) could the terminal side of Theta lie?

Mathematics
1 answer:
Korolek [52]3 years ago
4 0
If cosΦ is lesser than zero (negative) it must be in quadrant 2 or 3 because cos is always positive in quadrants 1,4.
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2 years ago
What is the perimeter of this polygon? Round your answer to the nearest<br> tenth
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A

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Is the following variable categorical or quantitative? Collect data from a sample of teenagers with a question that asks ‘‘Do yo
Gnom [1K]

Answer:

The following variable is categorical.

Step-by-step explanation:

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5 0
3 years ago
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Natalija [7]

Answer:

i think the 2nd one

Step-by-step explanation:

7 0
2 years ago
Help, Help, Please
Lesechka [4]

Answer:

θ = \frac{\pi }{3} (60° )

Step-by-step explanation:

Using the identity

sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x

Given

cos²θ - sin²θ = 2 - 5cosθ

cos²θ - (1 - cos²θ) = 2 - 5cosθ

cos²θ - 1 + cos²θ = 2 - 5cosθ

2cos²θ - 1 = 2 - 5cosθ ( subtract 2 - 5cosθ from both sides )

2cos²θ + 5cosθ - 3 = 0 ← in standard form

(cosθ + 3)(2cosθ - 1) = 0 ← in factored form

Equate each factor to zero and solve for θ

cosθ + 3 = 0

cosθ = - 3 ← not possible as - 1 ≤ cosθ  ≤ 1

2cosθ - 1 = 0

cosθ = \frac{1}{2} , so

θ = cos^{-1} (\frac{1}{2} ) = \frac{\pi }{3} ( or 60° )

8 0
3 years ago
Read 2 more answers
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