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34kurt
3 years ago
10

When Θ = 5 pi over 6, what are the reference angle and the sign values for sine, cosine, and tangent?

Mathematics
1 answer:
nikklg [1K]3 years ago
7 0
Ф =5π/6
The reference angle is the smallest angle that the terminal side of the angle makes with the x-axis.

Given that here π/2 < Ф < π, the angle is in the second quadrant.

In the second quadrant the signs are:

sine positive
cosine negative
tangent negative.

Furthermore, the reference angle is π - Ф = π - 5π/6 = π/6.

Then,

sin Ф = sin π/6 = 1/2
cos Ф = - cos π/6 = -√(3) / 2
tan Ф = - tan π/6 = -√(3) /3
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434.9

Step-by-step explanation:

The circumference is 29.53.

Hope that this helps!

7 0
2 years ago
Solve the equation 4\pi =w-6\pi
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Answer:

4/pi=w-6/pi

<u>4</u><u> </u><u> </u><u> </u>=<u> </u><u>w</u><u>-</u><u>6</u>

<u>Pi</u><u> </u><u> </u><u> </u><u> </u><u> </u><u>pi</u>

Cross mutiply

Pi(w-6)=4(pi)

Wpi - 6pi =4pi

Collect like terms

Wpi=4pi + 6pi

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<u>Divide</u><u> </u><u>both</u><u> </u><u>sides</u><u> </u><u>by</u><u> </u><u>pi</u>

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5 0
3 years ago
There are 321 crayons in a box and 204 crayons on the floor. About how many fewer than 1,000 crayons are there? Estimate. Then s
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3 0
3 years ago
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
sashaice [31]

Answer:

k = –10

Step-by-step explanation:

From the question given above, the following data were obtained:

f(x) = x³ – 6x² – 11x + k

Factor => x + 2

Value of K =?

Next, we shall obtained the value of x from x + 2. This is illustrated below:

x + 2 = 0

Collect like terms

x = 0 – 2

x = –2

Finally, we shall determine the value of k as illustrated below:

f(x) = x³ – 6x² – 11x + k

x = –2

Thus,

f(–2) = 0

x³ – 6x² – 11x + k = 0

(–2)³ – (–2)² – 11(–2) + k = 0

–8 – (4) + 22 + K = 0

–8 – 4 + 22 + K = 0

10 + k = 0

Collect like terms

k = 0 – 10

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Thus, the value of k is –10

7 0
3 years ago
What are the measures of the two angles in the figure below?
Mumz [18]

Answer: answer is A. 80 degrees and 100 degree

Step-by-step explanation:

4 0
3 years ago
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