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nadya68 [22]
2 years ago
15

How long will it take an investment to triple if the interest is compounded continuously at a rate of

Mathematics
1 answer:
Alex2 years ago
7 0

D, solved it graphically

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X^3 = (-5)^3
the answer is x=5
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Ilia_Sergeevich [38]

There are four solutions for the <em>trigonometric</em> equation 2 · cos x = 4 · cos x · sin² x are x₁ = π/4 ± 2π · i, x₂ = 3π/4 ± 2π · i, x₃ = 5π/4 ± 2π · i and x₄ = 7π/4 ± 2π · i, i \in \mathbb{N}_{O}.

<h3>How to solve a trigonometric equation</h3>

In this problem we must simplify the <em>trigonometric</em> equation by both <em>algebraic</em> and <em>trigonometric</em> means and clear the variable x:

2 · cos x = 4 · cos x · sin² x

2 · sin² x = 1

sin² x = 1/2

sin x = ± √2 /2

There are several solutions:

x₁ = π/4 ± 2π · i, i \in \mathbb{N}_{O}

x₂ = 3π/4 ± 2π · i, i \in \mathbb{N}_{O}

x₃ = 5π/4 ± 2π · i, i \in \mathbb{N}_{O}

x₄ = 7π/4 ± 2π · i, i \in \mathbb{N}_{O}

There are four solutions for the <em>trigonometric</em> equation 2 · cos x = 4 · cos x · sin² x are x₁ = π/4 ± 2π · i, x₂ = 3π/4 ± 2π · i, x₃ = 5π/4 ± 2π · i and x₄ = 7π/4 ± 2π · i, i \in \mathbb{N}_{O}.

To learn more on trigonometric equations: brainly.com/question/27821667

#SPJ1

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