All categories

3 years ago

What are the sine, cosine, and tangent of (2 pi)/3 radians?

Mathematics

2 answers:

Brrunno [24]3 years ago

6 0

Answer:

sin(2.09)=0.036

cos(2.09)=1

tan(2.09)=0.036

Step-by-step explanation:

The sine, cosine and tangent functions can be determine of 2π/3. We calculate the radians first:

$2\cdot{\pi}/3=2.09$

Therefore:

sin(2.09)=0.036

cos(2.09)=0.999≈1

tan(2.09)=0.036

melomori [17]3 years ago

5 0

Sine(2pi)/3= Sqrt(3)/2

You might be interested in

An urn contains 11 white balls and 5 green balls. A sample of seven is selected at random. What is the probability that the samp

madam [21]

The probbaility that the sample conatins at least one green ball is 0.90.

Let E be the event that denotes that the sample conatins at least one green.

According to the given question.

Total number of balls in an urn = 11 + 5 = 16

Total number of white balls = 11

Total number so green balls = 5

Now, the number of ways of selecting 7 balls from 16 balls

= $^{16} C_{7}$

= 16!/(7!9!)

= 11440

And the total number of ways of selecting 7 balls which contain atleast on green ball = $^{11} C_{6} \times \ ^{5} C_{1} + ^{11} C_{5} \times \ ^{5} C_{2} + ^{11} C_{4} \times \ ^{5} C_{3} +^{11} C_{3} \times \ ^{4} C_{4}+^{11} C_{2} \times \ ^{5} C_{5}$

= $\frac{11!}{6!5!} \times \frac{5!}{1!4!} +\frac{5!}{2!3!} \times\frac{11!}{5!6!} +\frac{11!}{7!4!} \times\frac{5!}{3!2!} +\frac{11!}{8!3!} \times\frac{4!}{4!0!} +\frac{11!}{9!2!} \times\frac{5!}{0!5!}$

= 452 × 5 + 10 × 452 + 330 × 10 + 165×1 + 55 ×1

= 2260 + 4520 +3300 + 165 + 55

= 10300

Thereofore, the probability that the sample conatins at least one green ball is given by

P(E) = (total number of ways of selecting 7 balls which contain atleast on green ball) / (the number of ways of selecting 7 balls from 16 balls )

⇒ P(E) = 10300/11440

⇒ P(E) = 0.90

Hence, the probbaility that the sample conatins at least one green ball is 0.90.

Find out more information about probability here:

brainly.com/question/11234923

#SPJ4

3 0

2 years ago

I'm not sure how to do this! 50 points?

Rus_ich [418]

Answer:

MOP=33

Step-by-step explanation:

MOP + MON = NOP

Substitute what we know

MOP = 3x-3

MON = 4x+9

NOP = 90 right angle

3x-3+4x+9 = 90

Combine like terms

7x+6 =90

Subtract 6 from each side

7x+6-6=90-6

7x = 84

Divide each side by 7

7x/7 = 84/7

x =12

We need to find MOP

MOP = 3x-3

=3(12)-3

36-3

6 0

3 years ago

Read 2 more answers

I have been asking for assistance for an hour and a half now, I will greaty appreciate anyone that can help with this..Find the

blagie [28]

Answer:

1st graph: m = -1/2. (m is the slope)

2nd graph: m = 3/2.

3rd graph: Midpoint = (1/2, 1/2)

Step-by-step explanation:

1st graph:

Find the slope by looking for two points on the line. Use the formula $m = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}$

We can derive the points (-3, 0) and (1, -2). Plug these into the equation above.

$m= \frac{-2-0}{1-(-3)}$

Simplify this, giving you: m = -1/2.

2nd graph:

Use the same formula as stated above. From this graph, you can plug in the points (-1, 1) and (1, 4)

$m = \frac{4-1}{1-(-1)}$

Simplifying gets you: m = 3/2.

3rd graph:

To find the midpoint, use the formula: $(\frac{x_{1}+x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )$

Plug in the end-points of the graph, or (-3, 2) and (4, -1).

You get:

$(\frac{-3+4}{2}, \frac{2-1}{2})$

Simplify:

Midpoint = (1/2, 1/2)

3 0

3 years ago

Predict what will happen to the graph of the line 2y=3x-6 if the slope was changed to 2

Setler79 [48]

Answer:

y = 3/2x-3 vs. y = 2x-3

Step-by-step explanation:

2y=3x-6 ------ y = 3/2x-3

3 0

3 years ago

What is 5/9 times 2 4/5 mixed number

Lunna [17]

5/9 * 2*5+4/5
5/9 * 10 + 4/5
5/9 * 14/5
5 * 14/9 * 5
70/9*5
70/45
14/9
1 5/9.

3 0

3 years ago