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alexgriva [62]
3 years ago
11

Find all solutions to 2sin(θ)=√3 on the interval 0≤θ<2π

Mathematics
1 answer:
makkiz [27]3 years ago
7 0

Answer:

2sin(3θ) - √3 = 0

Step-by-step explanation:

 sin(3θ) = √3/2

 

3θ = π/3 + 2kπ or 2π/3 + 2kπ, k = 0, ±1, ±2, ±3,...

 

θ = π/9 + 2kπ/3, 2π/9 + 2kπ/3

 

If k = 0, we get θ = π/9, 2π/9

If k = 1, we get θ = 7π/9, 8π/9

If k = 2, we get θ = 13π/9, 14π/9

 

Other values of k give values of θ lying outside of the interval [0, 2π).

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Step-by-step explanation:

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3 years ago
Gabriela has an apartment that costs 30% of her monthly budget, which is $3,575. What is the amount of money she has left over f
irina [24]

Answer:

$3003

Step-by-step explanation:

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0.84%/100×$3,575

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4 0
2 years ago
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The fraction of the time given in a day is 1/288

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Next, multiply 4.5 by 6.5. Multiply the sum by 2, since there is another congruent side opposite that.
Lastly, multiply 6.5 and 7.25, since they are the only numbers left to multiply anyway. Multiply the product by 2.
Your work should look somewhat like this:
4.5 x 7.25 = 32.625 (x2)
4.5 x 6.5 = 29.25 (x2)
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Over [174]

Answer:

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3 years ago
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