Please help ASAP ASAP

Use your understanding of the unit circle and trigonometric functions to find the values requested.

vfiekz [6]

Answer:

a) For this case we can use the fact that $sin (\pi/3) = \frac{\sqrt{3}}{2}$

And for this case since we ar einterested on $-\frac{\pi}{3}$ and we know that the if we are below the y axis the sine would be negative then:

$sin (-\pi/3) = -\frac{\sqrt{3}}{2}$

b) From definition we can use the fact that $tan x= \frac{sin x}{cos x}$ and we got this:

$tan (5\pi/4) = \frac{sin(5\pi/4)}{cos(5\pi/4)}$

We can use the notabl angle $\pi/4$ and we know that :

$sin (\pi/4) = cos(\pi/4) = \frac{\sqrt{2}}{2}$

Then we know that $5\pi/4$ correspond to 225 degrees and that correspond to the III quadrant, and we know that the sine and cosine are negative on this quadrant. So then we have this:

$tan (5\pi/4) = \frac{sin(5\pi/4)}{cos(5\pi/4)}= \frac{\frac{sqrt{2}}{2}}{\frac{\sqrt{2}}{2}} = 1$

Step-by-step explanation:

For this case we can use the notable angls given on the picture attached.

Part a

For this case we can use the fact that $sin (\pi/3) = \frac{\sqrt{3}}{2}$

And for this case since we ar einterested on $-\frac{\pi}{3}$ and we know that the if we are below the y axis the sine would be negative then:

$sin (-\pi/3) = -\frac{\sqrt{3}}{2}$

Part b

From definition we can use the fact that $tan x= \frac{sin x}{cos x}$ and we got this:

$tan (5\pi/4) = \frac{sin(5\pi/4)}{cos(5\pi/4)}$

We can use the notabl angle $\pi/4$ and we know that :

$sin (\pi/4) = cos(\pi/4) = \frac{\sqrt{2}}{2}$

Then we know that $5\pi/4$ correspond to 225 degrees and that correspond to the III quadrant, and we know that the sine and cosine are negative on this quadrant. So then we have this:

$tan (5\pi/4) = \frac{sin(5\pi/4)}{cos(5\pi/4)}= \frac{\frac{\sqrt{2}}{2}}{\frac{\sqrt{2}}{2}} = 1$

6 0

3 years ago

Multiply. Do not round your answer.<br> 9.2 x 14.71 =

Rzqust [24]

135.33 I didn’t round

7 0

2 years ago

The two-way table shows the number of students in a class who like mathematics and/or science. Like Mathematics Do Not Like Math

coldgirl [10]

The missing number is 20.

<h3>What is the missing number?</h3>

Subtraction is the mathematical operation that is used to find the difference between two or more numbers.

In order to find the missing number, subtract the total number of people who like science and mathematics from the total number of people who like science

38 - 18 = 20

To learn more about subtraction, please check: brainly.com/question/854115

#SPJ1

7 0

2 years ago

Johnny has 304 apples, his sister ate 301 of them. How many apples does he have? After His sister ate the apples a magic fairy m

sashaice [31]

Answer:

1. John still has 3 Apples

2. John now has 845679,63 Apples (I'm not sure if you've written the number of the multiplying fairy right...).

3. If the * is multiplying:

John now has 25937228,2 Apples.

Step-by-step explanation:

Just use the calculator.

7 0

3 years ago

a phone company offers two monthly plans. plan A costs 13 plus an additional 0.16 for each minute of calls. Plan B costs 24 plus

vladimir1956 [14]

Answer:

Let x represent number of calling minutes

Step-by-step explanation:

17 + .11x = 22 + .07x

.04x = 5

x = 5/.04 = 125 minutes, is the number of minutes the two plans cost the same

17 + .11*125 = $30.75 is the cost when the two plans cost the same

5 0

3 years ago