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skad [1K]
3 years ago
7

Solve the following quadratic trig equations algebraically (without graphing technology) for the domain 0 ≤ x ≤ 360°. Use exact

solutions whenever possible. 6cos2(θ) + cos(θ) - 1 = 0 2 - 2sin2(θ) = cos(θ)Solve the following quadratic trig equations algebraically (without graphing technology) for the domain 0 ≤ x ≤ 360°. Use exact solutions whenever possible. A. 6cos2(θ) + cos(θ) - 1 = 0 B. 2 - 2sin2(θ) = cos(θ)
Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
4 0
I may be wrong, but I believe this would be the answer:
6cos^2(θ) + cos(θ) - 1 = (2cos(θ) + 1)(3cos(θ) - 1) = 0 

<span>cos(θ) ∈ {-1/2, 1/3} </span>

<span>cos(θ) = -1/2 ⇒ θ ∈ {2π/3, 4π/3} </span>

<span>cos(θ) = 1/3 ⇒ θ ∈ {Arccos(1/3), 360° - Arccos(1/3)} ≈ {70.53°, 289.47°} </span>


<span>2cos²(θ) - cos(θ) = cos(θ)(2cos(θ) - 1) = 0 ⇒ </span>

<span>cos(θ) ∈ {0, 1/2} ⇒ x ∈ {60°, 90°, 270°, 300°}
</span>Hope this helped and have a great day!
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Step-by-step explanation:

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3 years ago
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Mice21 [21]

Answer: {5, -7, -19, -27, -35}

Step-by-step explanation:

In order solve this, we need to plug in the values of x into the table.

For spaces on the left of the equals sign, you need to write each x from the domain. You can then match that x-value with its function value by putting that on the right side.

For each equation, we are simply plugging a number from the domain into the function and replacing the x-value:

f(-1) = -4(-1) + 1 = 5\\f(2) = -4(2) + 1 = -7\\f(5) = -4(5) + 1 = -19\\f(7) = -4(7) + 1 = -27\\f(9) = -4(9) + 1 = -35

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5 0
1 year ago
HELP ASAP
Vera_Pavlovna [14]

Answer:

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8 0
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Which shows a correct order to solve this story problem? Kent and Curtis went to the state fair. They had to pay a total of $7.1
KiRa [710]
The problem is asking how much each person will need to pay. Simplifying the problem into an equation with variables (an algorithm) will greatly help you solve it:

S = Sales Tax = $ 7.18 per any purchase
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We know the cost for one person was: (22.50) + [(35.50/2) + 7.18] =
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Method A)
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Method A is the correct answer

Method B)
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Wrong answer. This method is incorrect because the tax for both tickets bought are not being used in the equation.

Method C)
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