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A local population of 720,000 fish is decreasing at a rate of 0.75% per quarter. How many

Mathematics

1 answer:

shutvik [7]2 years ago

6 0

Answer:

Idk sorry

Step-by-step explanation:

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Step-by-step explanation:

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2 years ago

Solve the trigonometric equation in the interval [0, 2π). Give the exact value, if possible; otherwise, round your answer to two

svp [43]

Answer:

θ∈{ $\frac{\pi }{8},\frac{5\pi }{8},\frac{9\pi }{8},\frac{13\pi }{8}$ }

Explanation:

The given equation is

$sin(2\theta )-cos(2\theta )=0$

$\Rightarrow sin(2\theta )=cos(2\theta )\\\\\therefore \frac{sin(2\theta )}{cos(2\theta )}=1\\\\tan(2\theta )=1\\\\\therefore 2\theta =n\pi +\frac{\pi}{4}\\\\\therefore \theta =\frac{n\pi }{2}+\frac{\pi }{8}$

Applying values on 'n' we obtain values of θ that beling to [0,2π)

For n=0, θ= $\frac{\pi }{8}$

For n=1, θ = $\frac{5\pi }{8}$

For n=2,θ = $\frac{9\pi }{8}$

For n=3,θ = $\frac{13\pi }{8}$

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