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TEA [102]
4 years ago
14

When Θ = 5 pi over 3, what are the reference angle and the sign values for sine, cosine, and tangent?

Mathematics
2 answers:
mezya [45]4 years ago
8 0
Θ = 5 pi/3
5pi/3 lies in quadrant IV = 2pi - pi/3
The reference angle is pi/3

Θ'= pi over 3, cosine is positive, sine and tangent are negative
Sonbull [250]4 years ago
4 0

Answer:

the reference angle is given by \frac{\pi}{3}

sine = negative

cosine = positive

tangent = negative

Step-by-step explanation:

We have been given the angle \theta=\frac{5\pi}{3}

The angle lies in Quadrant IV. Hence, in order to find the reference angle, we can subtract this angle with  2\pi

Therefore, the reference angle is given by

2\pi - \frac{5\pi}{3} \\\\=\frac{\pi}{3}

In Quadrant IV, cosine and secant functions are positive and rest trigonometric functions are negative.

Thus, we have

sine = negative

cosine = positive

tangent = negative

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Answer:

B. Methodology

Step-by-step explanation:

The methodology of anything is how it's done.  In an observational study, methodology would describe how the study is done:  how the data is collected and how decisions are made.

8 0
3 years ago
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Robyn, a photographer living in New York City, is framing some of the pictures she took of the city. Each picture is 5 inches by
goblinko [34]
The perimeter of each frame would be 24 inches.
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So the total length around all of the frames would be 120 inches.
3 0
3 years ago
CAN SOMEONE PLEASE HELP ME???
Bas_tet [7]

Answer:

negative

Step-by-step explanation:

The graph has a negative slope because the line is pointing downwards.

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8 0
3 years ago
Starting with $7,500 in your account, how much money will you have saved in 5 years in a simple interest account with a rate of
SSSSS [86.1K]

Answer:

  1. Balance in account after 5 years = $9,243.75
  2. Interest earned at end of 5 years = $1,743.75

Step-by-step explanation:

The total amount saved in a simple interest account at the end of 5 years is given by;

= Principal (1 + Interest rate * time )

= 7,500 ( 1 + 4.65% * 5)

= $9,243.75‬

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3 0
4 years ago
What is the solution set of this system of equations? y = x2 − 6x + 8 2y + x = 4
Phantasy [73]
This is the solution

2y + x = 4
2y = -x +4
y = -x/2 + 2

y = x^2 -6x + 8 = -x/2 + 2

2x^2 - 12x + 16 = -x + 4
2x^2 -11x +12 = 0

Factor

(x-4)(2x-3)=0

x= 4 and x =3/2

y = -x/2 +2
 
y = -4/2 + 2 = 0
y = - (3/2)/2 + 2 = -3/4 + 2 = 5/4

Answer (4,0) and (3/2, 5/4)

3 0
4 years ago
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