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3 years ago

PLEASE HELP ME THIS IS DUE ASAP!!! I will mark brainliest if right!!! Explain!

Mathematics

1 answer:

Fed [463]3 years ago

6 0

Answer:

Step-by-step explanation:

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Use the unit circle to evaluate these expressions:

sergeinik [125]

Answer:

a) We can remove the complete rotations around the unitary circle like this, because we know that one complete revolution is equivalent to $2\pi$ :

$17 \pi/4 - 2\pi = \frac{9\pi}{4} -2\pi = \pi/4$

For this case we know that $sin (\pi/4) = \frac{\sqrt{2}}{2}$

So then $sin(\frac{17 \pi}{4}) = \frac{\sqrt{2}}{2}$

b) We can remove the complete rotations around the unitary circle like this, because we know that one complete revolution is equivalent to $2\pi$ :

$19 \pi/6 - 2\pi = \frac{7\pi}{6}$

For this case we know that $cos (\pi/6) = \frac{\sqrt{3}}{2}$

And we know that $\frac{7\pi}{6}$ is on the III quadrant since is equivalent to 210 degrees. And on the III quadrant the cosine is negative. So then $cos(\frac{19 \pi}{6}) = -\frac{\sqrt{3}}{2}$

c) For this case that any factor of $\pi$ the sin function is equal to 0.

So from definition of tan we have this:

$tan (450\pi) = \frac{sin(450 \pi)}{cos(450 \pi)}= \frac{0}{cos(450\pi)}= 0$

Step-by-step explanation:

a. sin (17pi / 4 )

We can remove the complete rotations around the unitary circle like this, because we know that one complete revolution is equivalent to $2\pi$ :

$17 \pi/4 - 2\pi = \frac{9\pi}{4} -2\pi = \pi/4$

For this case we know that $sin (\pi/4) = \frac{\sqrt{2}}{2}$

So then $sin(\frac{17 \pi}{4}) = \frac{\sqrt{2}}{2}$

b. cos (19pi / 6 )

We can remove the complete rotations around the unitary circle like this, because we know that one complete revolution is equivalent to $2\pi$ :

$19 \pi/6 - 2\pi = \frac{7\pi}{6}$

For this case we know that $cos (\pi/6) = \frac{\sqrt{3}}{2}$

And we know that $\frac{7\pi}{6}$ is on the III quadrant since is equivalent to 210 degrees. And on the III quadrant the cosine is negative. So then $cos(\frac{19 \pi}{6}) = -\frac{\sqrt{3}}{2}$

c. tan(450pi)

For this case that any factor of $\pi$ the sin function is equal to 0.

So from definition of tan we have this:

$tan (450\pi) = \frac{sin(450 \pi)}{cos(450 \pi)}= \frac{0}{cos(450\pi)}= 0$

4 0

3 years ago

Write an equation that you can use to solve for the height of the triangle (x). Notice that the perimeter is 48 feet.

MArishka [77]

A. 48 = 12 + 20 + x

If you use this equation then you can do 12 + 20 = 32 and then you can do 48 - 32 = 16 so x = 16

7 0

3 years ago

3. If a week is 7 days, what fraction of a week is 2 days?

alexira [117]

A fraction of a week in 2 days is: 2/7

8 0

3 years ago

What's the correct answer

Ronch [10]

The answer should be -141

6 0

3 years ago

Four horses ran in a race

irina [24]

Answer:

Dee won

Step-by-step explanation:

Using < to mean "finished ahead of ", we are given ...

B = 3

D < B

D < C

A < C

D < A

Dee finished ahead of Air, Bart, and Caper, so Dee won the race.

_____

The order of finish must be D, A, B, C.

3 0

4 years ago