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xxMikexx [17]
4 years ago
9

Find the measure of the reference angle for each given angle. Part 2

Mathematics
2 answers:
Black_prince [1.1K]4 years ago
4 0

Answer:

13. 20°

14. 15°

15. 50°

Step-by-step explanation:

Please see the attached pictures for full solution.

For negative angles, the arrow turns clockwise.

m_a_m_a [10]4 years ago
4 0

Answer:

  13. 20°

  14. 15°

  15. 50°

Step-by-step explanation:

From a mathematical point of view, the reference angle is the smaller of α and (180°-α), where α = θ mod 180°.

That is, add or subtract multiples of 180° until the result is in the range 0–180°. Then choose the smaller of the angle and its supplement.

It is convenient to let a spreadsheet calculate these when you have a bunch of them.

__

From a geometrical point of view, the reference angle is the positive angle between the terminal ray and the nearest x-axis.

__

For the angles here, the reference angles (in degrees) are shown in the attachment.

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Use the trigonometric ratios since, cosine, and tangent to answer the following questions.
Roman55 [17]

Answer:

Step-by-step explanation:

Part 1.

The sine of an angle is defined as; Opposite side/the Hypotenuse. From the right angle triangle given; sin x =5/13.

The cosine of an angle is defined as; Adjacent side/Hypotenuse. From the right angle triangle given; cos x =12/13.

The tangent of an angle is defined as; Opposite side/Adjacent side. From the right angle triangle given; tan x =5/12.

Part 2.

We use the same definitions of the trigonometric ratios above;

sin y =12/13

cos y =5/13

tan y =12/5

Part 3.

The sin∠X and the cos∠Y are equal, their value is 5/13. The sine of angle is always equal to the cosine of its complement. In this case, ∠X+∠Y =90 hence ∠X is a complement of ∠Y.

Part 4.

The tangents of ∠X and ∠Y are inverses of each other. The tangent of an angle will always be equal to the inverse or reciprocal of the tangent of its complement.

5 0
3 years ago
Solve 3x - x + 2 = 12
Anna11 [10]
Remember you can do anything to an equation as long as you do it to both sides (except divide by 0)

add like terms
3x-x=3x-1x=2x

so
3x-x+2=12
2x+2=12
subtract 2 from both sides
2x=10
divide both sides by 2
x=5
7 0
4 years ago
What is the solution to -3/7m < 21???
evablogger [386]

Answer:

-(3/7)m<21

m>21*-(7/3)

m>-7*7

m>-49

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4 years ago
GIVING BRIANLEST TO BEST ANSWER
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Answer:

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Step-by-step explanation:

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3 years ago
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Simplify (6x^-2)^2(0.5x)^4. Please show your work.Thank you
Alex777 [14]
<span>(6/x²)² (x/2)⁴ = (36/x⁴) * (x⁴ / 16) = (36/16) = 9/4
Hope this helps ヾ(^∇^)
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4 years ago
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