tan of theta= -12/5 and it’s in quadrant 4

Find the exact values of sin theta/2 and the tan of theta/2

Answers

Answer 1

Answer:

sin θ/2 = ± √2/13

Step-by-step explanation:

tan θ = - 12/5       (in quadrant 4)      sin θ = - 12/13   and   cos θ = 5/13

sin θ/2 = ± (√1 - cos θ) / 2 = ± (√1 - 5/13) / 2 = ± √8/13 / 2 = ± √2/13

tan θ/2 = (1 - cos θ) / sin θ = sin θ / (1 + cos θ)

Let you to calculate the tan θ/2 part by yourself


Related Questions

IPLEASE HELP I DONT UNDERSTAND

Answers

Answer:

28.86

Step-by-step explanation:

It's the Pythagorean theorem just relearn it and you should be fine

Which systems of equations have the same solutions?
L (3x+y = 8
1x - 4y = -6
m{$*=*=230
NS 4x – 3y = 2
12% -8y = -12

Answers

Answer:

B. L and N

Step-by-step explanation:

Let's solve each system

✔️System L:

3x + y = 8 => Eqn. 1

x - 4y = -6 => Eqn. 2

x = -6 + 4y

Substitute x = (-6 + 4y) in eqn. 1

3(-6 + 4y) + y = 8

-18 + 12y + y = 8

-18 + 13y = 8

13y = 8 + 18

13y = 26

y = 26/13

y = 2

Substitute y = 2 into Eqn. 2

x - 4y = -6

x - 4(2) = -6

x - 8 = -6

x = -6 + 8

x = 2

Solution to system L = (2, 2)

✔️System M:

4x - 3y = 2 => Eqn. 1

5x - 4y = -30 => Eqn. 2

Multiply eqn 1 by 5, and eqn. 2 by 4

20x - 15y = 10

20x - 16y = -120

Subtract

y = 130

Substitute y = 130 into eqn. 1

4x - 3(130) = 2

4x - 390 = 2

4x = 2 + 390

4x = 392

x = 392/4 = 98

Solution to system M = (98, 130)

✔️System N:

4x - 3y = 2 =>Eqn. 1

2x - 8y = -12 => Eqn. 2

Multiply Eqn. 1 by 2, and eqn. 2 by 4

8x - 6y = 4

8x - 32y = -48

Subtract

26y = 52

y = 52/26

y = 2

Substitute y = 2 into eqn. 1

4x - 3(2) = 2

4x - 6 = 2

4x = 2 + 6

4x = 8

x = 8/4

x = 2

Solution to system N = (2, 2)

A game of chance involves rolling a 16-sided die once. If a number from 1 to 3 comes up, you win 4 dollars. If the number 4 or 5 comes up, you win 7 dollars. If any other number comes up, you lose. If it costs 5 dollars to play, what is your expected net winnings

Answers

Answer:

-$1.8

or loss of $1.8

Step-by-step explanation:

Given the following parameters, we have

The probability of winning $4 is 3/16

The probability of winning $7 is 2/16

The probability of losing $5 is 11/16

E(X) = (4 * 3/16) + (7 * 2/16) + (-5 * 11/16)

= 12/16 + 14/16 - 55/16

= -29/16

= -1.8

Hence, your expected net "winnings" would be -$1.8. That's an expected loss of $1.8.

URGENT IM POSTING THE PICTURE AS TGE QUESTION

Answers

Answer:c

Step-by-step explanation:

you are correct :))))))))))

The actual weight of a 2-pound sacks of salted peanuts is found to be normally distributed with a mean equal to 2.04 pounds and a standard deviation of 0.25 pounds. Given the information, the probability of a sack weighing more than 2.40 pounds is 0.4251. True or False.​

Answers

Answer:

False

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Mean equal to 2.04 pounds and a standard deviation of 0.25 pounds.

This means that [tex]\mu = 2.04, \sigma = 0.25[/tex]

The probability of a sack weighing more than 2.40 pounds is 0.4251. True or False.​

We have to find 1 subtracted by the vpalue of Z when X = 2.4. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{2.4 - 2.04}{0.25}[/tex]

[tex]Z = 1.44[/tex]

[tex]Z = 1.44[/tex] has a pvalue of 0.9251

1 - 0.9251 = 0.0749

The probability is 0.0749, which means that the answer is False.

what is the surface area of the figure below ​

Answers

Answer:

54 ft

Step-by-step explanation:

So... the volume is length x width x height = volume.

So... 6 x 3 x 3 = 54 ft

Hope this helps =]

11. Together, Andy and Ben can re-roof a certain house in six days. When Ben works alone, it takes him 9 days longer than when Andy works by himself. How long does it take each person to re-roof the same house independently?​

Answers

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4/5 times 40 =
1/6 times 48=
5/8 times 64=

Answers

Answer:

4/5 times 40 = 32

1/6 times 48= 8

5/8 times 64= 40

Step-by-step explanation:

Hope this helps chu! Credit to the person below as well!

PLEASE HELP!! I already guessed A, I just need the other two
Translate the triangle. Then enter the new coordinates. (3,4). A A'(0.13 B'([?]:[]) (1,2) (4,2) C'([],[]) A B С Enter​

Answers

Answer:

A' (0,13)

B' ( 1 , 11 )

C' ( -2 , 11 )

Pat is walking to a restaurant 6 blocks away. Pat has walked 2 blocks in 7 minutes. How many more minutes to reach the restaurant?

Answers

Answer:

14 minutes

Step-by-step explanation:

6÷2=3

3×7-7=21

6/11x7/8 I don’t get this either

Answers

Answer:

I suggest turning them both into decimals and then multiplying them and turning it back into a decimal

Step-by-step explanation:

The diameter of a peacan pie is 7 inches. What is the circumference?

Answers

Answer:

21.98/C

Step-by-step explanation:

The equation for circumference is pi(d).

so 3.14*7 is about 21.98

HELLLLP WILL GIVE BRAINLIEST.

Answers

Answer:

day 1 I think

Step-by-step explanation:

jjdjdjjdjdjdnndnsnsnxjxjjdk

Answer:

Day 1 :)

Step-by-step explanation:

Courtney got 64 out of 75 correct on a test. What is the best estimate of the
percent Courtney got correct?

A 64%
B 75%
C 85%
D 117%

Answers

It’s 85

64
—- x 100% = 85.3333333333
75

How many times can 45 go into 7,200?

Answers

Answer:

160

Step-by-step explanation:

divided 7200 by 45 to get 160

Plz help ASAP 20 points 5. In circle A, the length of arc BC is 20π units.
What is the length of the radius of circle A?
A. 24 units
B. 48π units
C. 10 units
D. 4v3 units

Answers

Answer: i think the answer is B or C sorry

Step-by-step explanation:

have a nice day

The length of the radius of circle A is 24 units. The correct answer would be an option (A).

What is an arc?

The arc is a portion of the circumference of a circle. The circumference of a circle is the distance or perimeter around a circle.

As per the question, we have

Arc length BC = 20π units and θ = 150°

The formula for calculating the arc states that:

Arc length = 2πr (θ/360)

Where r = the radius of the circle,

π = pi = 3.14

θ = the angle (in degrees) subtended by an arc at the center of the circle.

Substitute the known values, and we get

20π = 2πr (150/360)

10 = r (5/12)

r = 120/5

r = 24

Thus, the length of the radius of circle A is 24 units.

Learn more about the arc of the circle here:

brainly.com/question/1577784

#SPJ6

NEED HELP MY GRADE DEPENDS ON THIS!!!

Given that the lines are parallel, SHOW WORK to solve for x.

Answers

28x - 2 = 26x + 6
2x = 8
x = 4

Algebra find the value of x in each figure .

Answers

Answer:

Step-by-step explanation:

the answer is c because that is what i get

Answer:

x= 23°

Step-by-step explanation:

65+ x + 2 = 90° ( right angle)

67 + x = 90

x= 90-67

x= 23°

20.) Which inequality represents the solution on the graph?*

Answers

Answer:

Option 2

Step-by-step explanation:

You can see that the graph of the inequality is x <= -3, so you want to find why inequality matches that. Solve each one:

1

.[tex]3x \geq -9\\x \geq -3[/tex]

doesn't match

2.

[tex]-7x\geq 21\\x\leq -3[/tex]

Does match, so this is the answer.

HELP ME
The circumference of the base of a cylinder is 20 inches. The height of the cylinder is 5 inches. Find V.

Answers

Answer:

20 happy to helPNMNJHUJN

Step-by-step explanation:

in melissa's class 3/4 of the students play soccer. 1/4 of the students who play soccer also play lacrosse. what fraction of the students plays lacrosse?​

Answers

Answer:

3/16

Step-by-step explanation:

3/4*1/4=3/16

Answer:

1/4

Step-by-step explanation:

as said in the question, 1/4 of the students plays soccer AND lacrosse. so the answer is 1/4

pls help me I'm stuck on this one too​

Answers

t=11
explanation: we know that the perimeter is 29cm and one of the sides is 7cm so you subtract 7 from 29 to get 22 and since both of the other sides are equal you would divide it by 2. 22/2=11

Answer:

the answer is 11

I hope it helps

have a nice day

#Captainpower

Can someone help me solve this I don’t understand
-2y + 10 + 2y – 8

Answers

Answer:

2

Step-by-step explanation:

=−2y+10+2y+−8

=(−2y+2y)+(10+−8)

=2


Find an equation for the slant asymptote of y=
- 323 – 622 + 6x + 3
9x2 8
Submit Question

Answers

Answer:

Step-by-step explanation:

Slant asymptote is y = - [tex]\frac{1}{3}[/tex] x - [tex]\frac{2}{3}[/tex]

find the value of x
x<-1 and x>1

Answers

Answer:2

Step-by-step explanation: pretty simple, trust me :)

Show your work: convert 5/6 into a decimal

Answers

5÷6

0.83333333

i think it is helpful for you

please mark me brainliest

Answer:

0.83

Step-by-step explanation:

5:6 alr explain sorry if false

What are the solutions to x2 + x - 5≤0

Answers

I have no idea what that x is doing, so imma take it out.

2+x-5≤0

-3+x≤0

+3     +3

x≤3

---

hope it helps

Can I get some help on these two

Answers

9514 1404 393

Answer:

  cone: 138.16 in²

  pyramid: 352 m²

Step-by-step explanation:

Use the appropriate formula from your list of area and volume formulas.

Area of a Cone

  A = πr(r +h) . . . . . where r is the radius and h is the slant height

The radius is half the diameter, so is 4 inches.

  A = π(4 in)(4 in + 7 in) = 44π in² ≈ 138.16 in²

__

Lateral Area of a Square Pyramid

  A = 2sh . . . . . where s is the side length of the base and h is the slant height

  A = 2(8 m)(22 m) = 352 m²

sprinter started his race slowly and then increased his speed by 14.8 miles per hour to reach a top speed of 23 miles per hour. What was the sprinter's speed before he increased his speed?

Answers

Answer:

8.2

Step-by-step explanation: i think its 8.2

i dont know tho

The sprinter's speed before he increased his speed is 8.2 miles per hour.

What is Speed?

Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.

Here, Change in Speed = 14.8 miles per hour

          Top speed = 23 miles per hour

Actual old Speed = Top Speed - increased speed

                              = 23 - 14.8

                              = 8.2 miles per hour

Thus, the sprinter's speed before he increased his speed is 8.2 miles per hour.

Learn more about Speed from:

https://brainly.com/question/7359669

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Lucy bought a couch that cost $1,000.00. she bought it using her debit card. She forgot she only has $900 in her checking account. What should lucy be worried about? 1) how much tax is included 2) discounts 3) nothing 4) overdraft fees

Answers

Answer:

4) overdraft fees

Step-by-step explanation:

if she now has a negative balance then she owes money to the couch store

Answer:

Overdraft fees

Step-by-step explanation:

An overdraft occurs when money is withdrawn in excess of what is on the current account. In this situation the account is said to be "overdrawn".

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