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RoseWind [281]
4 years ago
5

Explain the difference between using the cosine ratio to solve for a missing angle in a right triangle versus using the secant r

atio. You must use complete sentences and any evidence needed (such as an example) to prove your point of view. (10 points)
Mathematics
1 answer:
Mkey [24]4 years ago
4 0

Answer:

Step-by-step explanation:

In trigonometry, secant in a right triangle, is the reciprocal of the cosine of an angle symbol: sec while cosine is in a right triangle, is the ratio of the length of the side adjacent to an acute angle to the length of the hypotenuse.

The cosine of an angle is the ratio of the length of the side adjacent to the angle divided by the length of the hypotenuse of the triangle. The cosine of ∠A will be abbreviated as cos ∠A

The secant of x is 1 divided by the cosine of x: sec x = 1 cos x , and the cosecant of x is defined to be 1 divided by the sine of x: csc x = 1 sin x .

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Match the pairs of equations that represent concentric circles. Tiles
Darina [25.2K]
I will explain you and pair two of the equations as an example to you. Then, you must pair the others.

1) Two circles are concentric if they have the same center and different radii.

2) The equation of a circle with center xc, yc, and radius r is:

(x - xc)^2 + (y - yc)^2 = r^2.

So, if you have that equation you can inmediately tell the coordinates of the center and the radius of the circle.

3) You can transform the equations given in your picture to the form (x -xc)^2 + (y -yc)^2 = r2 by completing squares.

Example:

Equation: 3x^2 + 3y^2 + 12x - 6y - 21 = 0

rearrange: 3x^2 + 12x + 3y^2 - 6y = 21

extract common factor 3: 3 (x^2 + 4x) + 3(y^2 -2y) = 3*7

=> (x^2 + 4x) + (y^2 - 2y) = 7

complete squares: (x + 2)^2 - 4 + (y - 1)^2 - 1 = 7

=> (x + 2)^2 + (y - 1)^2 = 12 => center = (-2,1), r = √12.

equation: 4x^2 + 4y^2 + 16x - 8y - 308 = 0

rearrange: 4x^2 + 16x + 4y^2 - 8y = 308

common factor 4: 4 (x^2 + 4x) + 4(y^2 -8y) = 4*77

=> (x^2 + 4x) + (y^2 - 2y) = 77

complete squares: (x + 2)^2  - 4 + (y - 1)^2 - 1 = 77

=> (x + 2)^2 + (y - 1)^2 = 82 => center = (-2,1), r = √82

Therefore, you conclude that these two circumferences have the same center and differet r, so they are concentric.
5 0
4 years ago
22-28/(14-7)x5+9<br> PEMDAS
Hunter-Best [27]

Answer: answer is 11 (Pls put Brainliest!!!)




8 0
4 years ago
Based on the spinner shown, what is the probability of the next spin landing on an even
egoroff_w [7]

Answer:

There is a six out of eight (6/8) chance of it being an even number

6 0
3 years ago
Please help!! Asap!!
mamaluj [8]
We notice that for x = 2 , or x = 4, the value of y=0 (x intercept),

replace x by any of the latter value in y=a(x-3)² -1

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3 years ago
A regular hexagon is dilated by a scale factor of 7/5 to create a new hexagon. how does the perimeter of the new hexagon compare
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This is the concept of algebra, let the original length of the hexagon be x, after the dilation the length became x×7/5=7/5x
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=1.4
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6 0
3 years ago
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