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Andrews [41]
2 years ago
7

2cos^2x = 1 Solve for 0-360 degrees

Mathematics
2 answers:
stich3 [128]2 years ago
7 0

Answer:

45°, 135°, 225°, 315°

Step-by-step explanation:

2cos²x = 1

cos²x = ½

cosx = +/- 1/sqrt(2)

Basic angle: 45

Since cos has both, positive and negative values, we'll consider all 4 quadrants

45,

180 - 45 = 135

180 + 45 = 225

360 - 45 = 315

Tems11 [23]2 years ago
5 0

Answer:

45,135,315,225

Step-by-step explanation:

2cos^2x = 1

Divide each side by 2

cos^2x = 1/2

Take the square root of each side

sqrt( cos^2 x) = ±sqrt (1/2)

cos x  =±sqrt (1/2)

Make into two separate equations

cos x  =sqrt (1/2)    cos x = - sqrt(1/2)

Take the inverse cos of each side

cos ^-1 cos (x) = cos ^-1 (sqrt (1/2))   cos ^-1 cos (x) = cos ^-1 (-sqrt (1/2))

x = cos ^-1 (sqrt (1/2))   x = cos ^-1 (-sqrt (1/2))

x = 45  +360 n              x = 135+ 360n

x = 315+360 n               x =225+360n

Between 0 and 360

45,135,315,225

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Answer:

4

Step-by-step explanation:

Calculate Greatest Common Factor for :

   16, 24 and 36

Factorize of the above numbers :

   16 = 2^{4}  

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   36 = 2^{2} • 3^{2}  

Build a prime factors table

   Number of times each prime factor

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2 4 3 2 2

3 0 1 2 0

GCF = 2²

Greatest Common Factor is :

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Hope this helps :)

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Answer:

  • square: 9 square units
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Step-by-step explanation:

Using a suitable formula the area of a polygon can be computed from the coordinates of its vertices. You want the areas of the given square and triangle.

<h3>Square</h3>

The spreadsheet in the first attachment uses a formula for the area based on the given vertices. It computes half the absolute value of the sum of products of the x-coordinate and the difference of y-coordinates of the next and previous points going around the figure.

For this figure, going to that trouble isn't needed, as a graph quickly reveals the figure to be a 3×3 square.

The area of the square is 9 square units.

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The same formula can be applied to the coordinates of the vertices of a triangle. The spreadsheet in the second attachment calculates the area of the 8×6 triangle.

The area of the triangle is 24 square units.

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<em>Additional comment</em>

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7 0
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At which points are the equations y = x- + 3x + 2 and y = 2x + 3 approximately equal?
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Select all the correct locations on the graph. At which points are the equations y = x2 + 3x + 2 and y = 2x + 3 approximately equal? 2.

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A painter charges an initial fee of $50 and $30 for each hour of labor. Write a linear function to determine the total cost. How
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The initial fee of $50 is essentially the y intercept because this is the value when x = 0 (x is the number of labor-hours). So b = 50.

The slope is m = 30 because each increase of 1 hour leads to the cost bumping up by 30 dollars. In other words, slope = rise/run = (change in cost)/(change in hours) = 30/1

So we plug m = 30 and b = 50 into the y = mx+b formula to get y = 30x+50

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The linear function for the cost is f(x) = 30x+50

Note: Some books may use other letters (instead of x and f(x)), but the idea is still the same

Once you know the cost function, you replace x with 4.5 to find the amount it will cost to have a painter work for 4.5 hours.

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It will cost 185 dollars to have the painter work for 4.5 hours
7 0
3 years ago
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