Answers
The value of θ within the interval is 210 and 330 degrees
Given the equation;
[tex]2sin^2 \theta = 5sin \theta - 3[/tex]
Let P = sinθThe equation will become;
2P² = 5P - 3
2P² - 5P - 3 = 0
Factorize;
2P² - 6P + P- 3 = 0
2P(P-3) + 1(P -3) =0
2P + 1 = 0 and P - 3 = 0
p = -1/2 and 3
Since P = sinθ
sinθ = -1/2
θ = -30 degres
Since sine is negative in the second 3rd and 4th quadrant
θ = 180 + 30 = 210 degrees
θ2 = 360 - 30 = 330 degrees
Hence the value of θ within the interval is 210 and 330 degrees
Learn more on trigonometry here: https://brainly.com/question/24349828
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(
sum
>
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and
divisor of
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)
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Explanation:
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XXX
{
4
,
6
,
8
,
12
}
Consider the possible die rolls that can give these sums:
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xxx
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second roll
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1
3
2
2
3
1
6
1
5
2
4
3
3
4
2
5
1
8
2
6
3
5
4
4
5
3
6
2
12
−−
6
−
6
−
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out of a possible
36
combinations that meet the given requirements.
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