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, 
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<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,
x₂ = 3π/4 ± 2π · i,
x₃ = 5π/4 ± 2π · i,
x₄ = 7π/4 ± 2π · i,
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, .
To learn more on trigonometric equations: brainly.com/question/27821667
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Answer:
x = 9 is a true solution
Step-by-step explanation:
Given:
√x - √(x - 5) = 1
This is irrational equation with next conditions:
x ≥ 0 and x - 5 ≥ 0 => x ≥ 0 and x ≥ 5 => x ≥ 5
√x - √(x - 5) = 1 => √x = 1 + √(x - 5)
now we will square both sides of equation and get:
x = x - 5 + 2 √(x - 5) + 1 => 2 √(x - 5 = x - x + 5 - 1 => 2 √(x - 5) = 4
now we will divide both sides with 2 and get:
√(x - 5) = 2
now we will square both sides of equation and get:
x - 5 = 4 => x = 4 + 5 = 9 => x = 9
since that this solution satisfies the given condition x ≥ 5 is accepted as final
x = 9
Check:
√9 - √(9 - 5) = 1 => 3 - √4 = 1 => 3 - 2 = 1 => 1 = 1 It's true
God with you!!!
Answer:
first blank: mean
second blank: greater than
third blank: increased
fourth blank: greater than
Step-by-step explanation:
I can't see the options in each blank, even though I completed them with reasonable options.
The MAD of a set of data is the average distance between each data value and the mean. 400 is further than the mean than the MAD. This, increases the variability of the originally data set. As a consequence, the inclusion of 400 will result in a greater MAD
Well, we would have to divide 7 into 20 in order to find the decimal, so 7 divided by 20 = 0.35, so 7/20 as a decimal is 0.35, and if you move the decimal two places to the left, it is also 35%.
I hope I helped! =D
i’m just as stupid man i need help on the exact same one
