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riadik2000 [5.3K]
4 years ago
7

Simplify the expression by using a double-angle formula. 2 cos^2 4 theta -1

Mathematics
1 answer:
avanturin [10]4 years ago
3 0
You are given 2cos² (4θ - 1). You are asked to s<span>implify the expression by using a double-angle formula. 

Apply the double angle of the cosine function
</span>cos2θ = 2cos² θ - 1

Rearranging the expression and then substituting them
2cos² θ = cos2θ + 1
2cos² (4θ - 1) = cos 2(4θ - 1) + 1
cos2(4θ - 1) + 1

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Help this is due today!!!!
KIM [24]

\frac{4}{32}  \times 100 = 12.5\%
7 0
3 years ago
2(3x−5a)+9(2a−7b)+3(5a−2x)=0
alexdok [17]

Answer:

a=63b/23, b=23a/63

7 0
3 years ago
Find the solution(s) to the system of equations represented in the graph.
jolli1 [7]

Answer:

(-3,0) and (0,3)

Step-by-step explanation:

The solution to the system of equation is where the two graphs intersect

The intersect at two points

(-3,0) and (0,3)

3 0
3 years ago
Solve the expression x^2-100=0
enot [183]

Answer:

x = ± 10

Step-by-step explanation:

Given

x² - 100 = 0 ( add 100 to both sides )

x² = 100 ( take the square root of both sides )

x = ± \sqrt{100} ← note plus or minus, hence

x = ± 10

6 0
3 years ago
A man purchased a magazine at the airport for $2.69. The tax on the purchase was $0.13. What is the tax rate at the airport? The
alexdok [17]

We need to find the percent, let's start but making the equation.

The price is 2.69

The tax cost is 0.13

So what percent of 2.69 is = 0.13.

Equation: X/100 x 2.69 = 0.13

Multiply each side by 100 so we can get x alone with the price: 2.69x = 13

Now to get x alone, we must divide both sides by 2.69: x = 4.8

Finally, we just round 4.8 to the nearest whole number, which is 5 (5 or above give it a shove, 4 or below let it go, we have 8 so we give it a shove). This means that the answer will be 5%.

I hope this helps! :)

6 0
3 years ago
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