Use the unit circle to evaluate the six trigonometric functions of θ = -π.

Sin θ=
Cos θ=
Tan θ=
Csc θ=
Sec θ=
Cot θ=

Use The Unit Circle To Evaluate The Six Trigonometric Functions Of = -.Sin =Cos =Tan =Csc =Sec =Cot =

Answers

Answer 1

Answer:

sin=0

cos=-1

tan=0

csc=undefined

sec=-1

cot=undefined

Step-by-step explanation:

On the unit circle, [tex]-\pi=\pi[/tex]. The sin of theta is therefore 0, the cosine is -1, and the tangent is 0/-1=0. Since the following functions are just the reciprocals of the previous ones, the cosecant is 1/0=undefined, the secant is 1/-1=-1, and the cotangent is 1/0= undefined. Hope this helps!

Answer 2

All six trigonometric ratios were calculated using a unit circle and comes out to be

[tex]sin(-\pi )= -sin\pi =0\\cos(-\pi )= cos\pi =-1\\tan(-\pi )= -tan\pi=0 \\cosec(-\pi )= -cosec\pi =infinity\\sec(\pi )= sec\pi =-1\\cot(-\pi )=-cot\pi=infinity[/tex]

I have attached a unit circle diagram.

What is a unit circle in trigonometry?

In this unit circle corresponding values of sine and cosine have been written near the angle 'α' in form (cosα,sinα)

x-coordinate is cosα

y-coordinate is sinα

now,

one can find other trigonometric ratios

[tex]tan\alpha =\frac{sin\alpha }{cos\alpha } \\\\cot\alpha =\frac{1}{tan\alpha } \\\\cosec\alpha =\frac{1}{sin\alpha } \\\\sec\alpha =\frac{1}{cos} \\[/tex]

Hence, we can find the rest of the trigonometric ratios by using the coordinates (cosα,sinα) for a particular angle 'α'.

to get more about unit circle refer to the link,

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Use The Unit Circle To Evaluate The Six Trigonometric Functions Of = -.Sin =Cos =Tan =Csc =Sec =Cot =

Related Questions

What type of relationship does this
pair of angles have?
BC
19°
no
161°
They are complementary angles.
none of the above
They are vertical angles.
They are supplementary angles.

HELP PLEASE

Answers

Answer:

They are supplementary angles.

Step-by-step explanation:

161+ 19 = 180

When two angles add to 180 degrees, they  are supplementary angles

Answer:

Supplementary Angles

Step-by-step explanation:

They add to 180 degrees

Please help me ASAP. Need to hand in by today​

Answers

Answer:

Heyyy. Glad to see someone from malaysia taking add maths hete. Hope this helps

Use the distributive property to expand Negative 4 (Negative two-fifths + 3 x). Which is an equivalent expression?
Negative StartFraction 8 over 5 EndFraction + 12 x
Negative StartFraction 8 over 5 EndFraction minus 12 x
StartFraction 8 over 5 EndFraction + 12 x
StartFraction 8 over 5 EndFraction minus 12 x

Answers

Answer:

d

Step-by-step explanation:

Negative 4 (Negative two-fifths + 3 x) is StartFraction 8 over 5 EndFraction minus 12 x, option D is correct.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is Negative 4 (Negative two-fifths + 3 x).

-4(-2/5+3x)

We solve the equation by using distributive property.

Now apply distributive property

-4(-2/5)-4(3x)

8/5-12x

StartFraction 8 over 5 EndFraction minus 12 x

Hence, Negative 4 (Negative two-fifths + 3 x) is StartFraction 8 over 5 EndFraction minus 12 x, option D is correct.

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A triangle with side measures 17 cm,15 cm, and 12 cm is a (n) _________ triangle

Answers

Answer:

scalene

Step-by-step explanation:

all sides have different measurements

Select three ratios that are equivalent to 8 : 20
A)1 : 4
B)4 : 10
C)24 : 60
D)2 : 5
E)10 : 24

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

It would be B, C and D

All of them simplify to 2 : 5

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

。☆✼★ ━━━━━━━━━━━━━━  ☾

Answer:

B, C, D

Step-by-step explanation:

So just simplify the ratio first:

Divide by 2 | 4 : 10

Divide by 2 | 2 : 5

Multiply the ratio next:

Multiply by 3 | 24 : 60

Only do question 8

50 points

Topic: Percentage

Answers

Answer:

see below

Step-by-step explanation:

To change from a decimal to a fraction  count the number of decimals and add that many zeros after the 1 in the denominator, then simplify

To change a decimal to a percent, move the decimal to places to the right and add a percent sign

To change a fraction to a decimal divide the numerator by the denominator

To change a percent to a decimal move the decimal 2 places to the left and remove the percent sign( if there are fractions, change to a decimal)

113/1000 =                            .113                                    = 11.3 %

2275/1000 =91/400              .2275                           22 3/4%

1/200                                       .005                                  .5%

3 85/100                                   3.85                                  385%

Find the mean of the data.
Megabytes of Data Used
85
206
0
109
62
28
460
149
98
The mean is
megabytes of data used.
what is the mean of the data

Answers

Answer:

Mean (Average): 133

Step-by-step explanation:

Please help me with this math problem :)

Answers

Answer:

[tex]=2/4=1/2[/tex]

Step-by-step explanation:

Five times the sum of a number and 3 is the same as 3 times the difference of twice the number and 1.
What is the number?

Answers

Answer:

12

Step-by-step explanation:

5(x+3) = 3(2x-1)

5x+15 = 6x-3

15-3 = 6x-5x

12 = x

x = 12

The number should be 12.

Given that,

Let us assume the number be x.Five times the sum of the number & 3 should be the same because 3 times is the difference of the twice of the number and 1.

Based on the above information, the following equation should be made:

5(x+3) = 3(2x-1)

5x+15 = 6x-3

15-3 = 6x-5x

12 = x

x = 12

Therefore we can conclude that the number is 12.

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What is the next step to solve this equation?
3x - 5 = 7

Answers

Answer:

Find the value of x the value is x=4

3x4=12

12-5=7

Step-by-step explanation:

The solution of the equation is [tex]x=4[/tex]

Linear equation :

The given equation is,[tex]3x-5=7[/tex]

To solve above equation, isolate variable x on one side and constant numbers on other side of equation.

[tex]3x-5=7\\\\3x=7+5\\\\3x=12\\\\x=12/3\\\\x=4[/tex]

Learn more about the linear equation here:

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what is the equation for, 5 more then 3 times the number is one-third more then the sum of the number and itself

Answers

3x+5=2x+1/3? i’m not quite sure but that’s my guess

Which inequality has -25 in its solution set?
y + 11 > -9
y - 17 Less-than-or-equal-to -46
30 Less-than-or-equal-to y + 5
y + 20 > -30

Answers

Answer:

Let's check one by one:

y + 11 > -9

-25 + 11 > -9

-14 > -9 (wrong)

y - 17 <= -46

-25 - 17 <= -46

-42 <= -46 (wrong)

30 <= y + 5

30 <= -25 + 5

30 <= -20 (wrong)

y + 20 > -30

-25 + 20 > -30

-5 > -30 (Right)

=> Last option is solution

Hope this helps!

:)

The required inequality that contains -25 in its solution is y +20 > -30.
Option D is correct.

Number of inequality is given y + 11 > -9 , y - 17≤  -46, 30 ≤ y + 5, y + 20 > -30, the inequality that contains -25 to its solution of set to be determine.

What is inequality?

Inequality can be defined as the relation of an equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

1)  y + 11 > -9
    y >-20
It does not contain -25. in its solution set.

2)  y - 17≤  -46
     y  ≤ -29

It does not contain -25. in its solution set.

3) 30 ≤ y + 5
   25 ≤ y
It does not contain -25. in its solution set.

4) y + 20 > -30
    y  > -50
It does contain -25 in its solution.

Thus, the required inequality that contains -25 in its solution is y +20 > -30.

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The sequence f(n) is geometric with a common ratio of 3 and initial term 4. Complete the table and write a closed- form definition.

Answers

Answer:

Step-by-step explanation:

The roads that connect three buildings form a right triangle. Use the image to find the distance between the library and the museum.

Answers

Answer:400 yards

Step-by-step explanation:Let L represents the position of library, R represents the restaurant and M represents the museum,

Since, By the given diagram,

∠MLR = 90°,

LR = 300 yd,

RM = 500 yd,

So, by the Pythagoras theorem,

By substituting the values,

Hence, the distance between library and museum is 400 yards.

A delivery service claims that orders arrive before noon 90% of the time. If Amy uses the delivery service 20 times, how many times can she predict the deliveries will arrive before noon? Is the claim accurate if her packages arrive after noon 4 times?

Answers

Answer:

They claim that 90% of the times, the orders arrive in time.

Then, out of N orders, (90%/100%)*N of them will arrive in time.

Here we have that N = 20

then the number that arrives in time is:

(90%/100%)*20 = 18

Now, experimetally we see that 4 times her packages arrived after noon (so 16 times the packages arrived in time), so we can calculate the experimental percentage as:

(X/100%)*20 = 16

X = (16/20)*100% = 80%

so the percentages doesn't match, so it the claim is not really accurate, but this is a small sample, so if the number of times that she uses the delivery increases, we may see that the experimental percentage gets closer to the claimed percentage.

PLEASE DO THESE NEEDED !!!!!!!!!!!!!!!!!!! PLEASE

Answers

Answer:

hope this works

Step-by-step explanation:

A1-x= 5

A2-x= 9

A3-x= 4

A4-x= -5

B1-x= 11

B2-x= 21

B3-x= 2

B4-x= -8

C1-x= 6

C2-x= 7

C3-x= 22/3 or 7.33

C4-x= 4.5

D1-x= 14

D2-x= 30

D3-x= 24

D4-x= 108

1) r= 10

2) n= -4

3) p= -9

4) r= 6

5) k= -4

6) n= 15

What is the value of x? Please help me

Answers

Answer:

x=33

Step-by-step explanation:

because DC and AB are the same, x must be 33.

Which is a perfect square?
072
81
90
99

Answers

Answer:81

Step-by-step explanation:

9•9 = 81

Please help!! Urgent! Due soon! - A bedroom is initially squat-shaped with each side x feet long. The room is then expanded so that the length of the room is increased by 3 feet, and the width increased by 4 feet. Choose the expression which represents how much bigger the area of the new bedroom is than the old bedroom.

Answers

Answer:

The second one; x²+7x+12

Step-by-step explanation:

So, since the beginning lengths of the square is x and x, the area of the square is x².

But then, you add 3 to one length, so that side is now (x+3), and then you add 4 to the width, so that is now (x+4).

Finally, you would multiply them together to get the equation you would use to find the new area.

For this, you would cross-multiply everything together; the x in the length by the x in the width, the x in the length by the 4 in the width, the 3 in the length by the x in the width, and then the 3 in the length by the 4 in the width. Now, all you have to do is add all of these together to get your answer.

Here's the work:

[tex](x+3)(x+4)\\x^{2}+3x+4x+12\\x^{2}+7x+12[/tex]

Are the ratios of free throws made to free throws attempted by the rockets and by the turbos equivalent?

Answers

Answer:

No, they're not equivalent.

Step-by-step explanation:

In the image attaches you can observe the Free Throws Made and the Free Throws Attempted.

Team Rockets Made 8 Free Throws, and Attempted 24, which give a ratio of

[tex]R=\frac{8}{24}=\frac{1}{3}[/tex]

Team Turbos Made 16 free throws and attempted 36, which give a ratio of

[tex]T=\frac{16}{36}=\frac{8}{18} =\frac{4}{9}[/tex]

As you can see, the ratio are diferent.

Therefore, the ratios are not equivalent.

Answer:

no

Step-by-step explanation:

Find the slope of the line passing through the points (0,3) & (5,-1)

Answers

Answer:

[tex]-\frac{4}{5}[/tex]

Step-by-step explanation:

Slope is: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (0,3) and (5,-1).

[tex]m=\frac{-1-3}{5-0}=\frac{-4}{5} =-\frac{4}{5}[/tex]

The slope is -4/5.

Answer:

y=mx+b

y=8/10x+(0,3)

Step-by-step explanation:

hope this helps

Whoever gets the answer right, gets the Brainliest. MUST BE CORRECT.

Answers

Answer:

it is b

Step-by-step explanation:

Answer:

the answer is b and im doing this to show u people that there has to be only 2 answers to a quetion to give brainliest

Step-by-step explanation:

1521 orange trees are planted in a garden in such a manner that there are as many trees in a row as there are rows in the garden. The number of trees in each row is

Answers

Answer: 39

Step-by-step explanation:

Total number of orange trees = 1521

Note :

There are as many trees in a row as there are rows in the garden.

Therefore :

Number of rows in the garden = number of trees in a row

Let the number of rows in the garden = y

Hence, the number of trees in a row also = y

Total number of trees in the garden = number of trees in a row × number of rows in the garden

Total number of trees in the garden = y × y

1521 = y × y ; 1521 = y^2

y = √1521

y = 39

Answer:

no.f trees in each row =39

Step-by-step explanation:

Total number of orange trees = 1521

Note :

There are as many trees in a row as there are rows in the garden.

Therefore :

Number of rows in the garden = number of trees in a row

Let the no.f trees in each row =x

let the no.f rows=x

therefore total no.f trees =x raised to 2

x raised to 2 =1521

therefore x=39

there fore no.of rows =39

no.f trees in each row =39

In a math class with 28 students, a test was given the same day that an assignment
was due. There were 18 students who passed the test and 23 students who completed
the assignment. There were 16 students who passed the test and also completed the
assignment. What is the probability that a student who passed the test did not
complete the homework?

Answers

Answer:

Probability that a student who passed the test did not  complete the homework = 0.07

Step-by-step explanation:

Given:

Total number of students = 28

Number of students who passed the test = 18

Number of students who completed  the assignment = 23

Number of students who passed the test and also completed the  assignment = 16

To find: probability that a student who passed the test did not  complete the homework

Solution:

Probability refers to chances of occurrence of some event.

Probability = number of favorable outcomes/total number of outcomes

Let A denotes the event that students passed the test and B denotes the event that students completed  the assignment

P(A only) = [tex]P(A)-P(A\cap B)[/tex]

Here,

[tex]P(A)=\frac{18}{28}\,,\,P(A\cap B)=\frac{16}{28}[/tex]

So,

[tex]P(A\,\,only)=\frac{18}{28}-\frac{16}{28}=\frac{2}{28}=\frac{1}{14}=0.07[/tex]

Therefore,

probability that a student who passed the test did not  complete the homework = 0.07

Answer:

2/9

Step-by-step explanation:

Choose all of the expressions that are equal to 6 × 45.
A. 6 × (40 + 5)
B. 4 + 2 × 45
C. (6 × 40) + (6 × 5)
D. (6 + 40) × (6 + 5)
E. 6 × (20 + 25)

Answers

Answer:

the answers are

option

A

B

E

Step-by-step explanation:

A. as when we do 40+5=45, so 6 x 45

B. as 4+2=6,so 6 x 45

E.as 20+25=45,so 6 x 45

When a data set contains values that tend to be around a central value with no bias left or
right, it gets close to a

Answers

Answer: Normal distribution or Gaussian distribution.

Step-by-step explanation:

Normal distribution, this means that we will see something that remaind us to a Gaussian Bell (a curved shape that goes to zero in the extremes and has a maximum in the middle)

If we have some biased points in one side, suppose left, we will have a skewed distribution, that has some important differences with the normal distribution at the time of describe it mathematically.


A painter needs 5 gallons of paint to finish a house. He has 3 quarts and 1 pint. How much more paint does he need?

Answers

Answer:One pint and 16 quarts or one pint and four gallons

Step-by-step explanation:there are two pints in a quart and there are 4 quarts in a gallon.

ANSWER:
4 1/4 gallons

STEP BY STEP EXPLANATION:
5 gallons are needed.

Convert one gallon into quarts and one quart into pints.

3 quarts and 2 pints, minus 3 quarts and 1 pint.

The result is 4 gallons and 1 pint.

4. Select the correct answer.
All units for Volume are units squared. units"2
All units for volume are units cubed. units^3

Answers

Answer:

All units for volume are units cubed. units^3

If 5,x,y,40 are in geometrical progression, find x and y respectively.

Answers

Answer:

x = 10, y = 20

Step-by-step explanation:

Because this is a geometric sequence, we'll call the rate of change z. Because 40 is 3 terms away from 5, we can write 5 * z * z * z = 5z³ = 40.

z³ = 8 → z = 2

Now, we simply multiply 5 by 2 to get x, which is 10, and then we multiply x by 2 to get 10 * 2 = 20 for y. Hope this helps!

solve the pair of simultaneous equation
2-4(3x-y)=8(4-y)-39x and 8(4-y)-39x=6(y-x)

Answers

Answer:

X = -(146/123) , Y = 21/41

Step-by-step explanation:

2-4(3x-y) = 8(4-y)-39x

2-12x-4y = 32-8y-39x

39x-12x+8y-4y = 32-2

27x+4y = 30

27x+4y-30 = 0

8(4-y) -39x = 6(y-x)

32-8y-39x = 6y-6x

32-8y-6y-39x+6x = 0

-33x-14y+32 = 0

Other Questions
Given that m angle KLH=120^ which statement about the must be true? angle HLM is bisected by angle GLJ is bisected by vec LH . m angle KLG=m angle HLJ m angle HLI=m angle LLM In the form of a persuasive speech, respond to the following prompt:Defend or refute Darwins statement: Of all the differences between man and the lower animal, mans sense of moral conscience is by far the most important. Include an analysis of moral choices or conflicts by two characters in this unit and one example of the same from history or personal experience to support your position.Support your argument with specific examples from two of the works from this unit and one example from history or your own personal life experience. Your speech should be five to ten minutes in length. You will deliver the speech to your class, or your teacher may ask that you upload a recorded version to share digitally instead. Don't forget to follow MLA guidelines for in-text citations and a works-cited page. A trail mix consist of 7 3/4 oz of sunflower seeds, 9 1/4 oz of raisins, 4 1/4 oz of walnuts, and 7 1/2 oz of soybeans. If the mix is split equally between eight hikers, how much would each one get? another one hhh i must know 70 = -7 k solve the equations Briefly describe three problems of the Legislative Assembly. How to do it ? plz answer it.. A highway has an optional toll lane that drivers may take to reduce the time they spend driving. Drivers pay a small fee to enter the toll lane ($0.25). Then, once they leave the toll lane, they pay a fee based on the number of miles they have traveled on the toll lane. Assume that the driver may leave the lane after any whole number of miles, and pays for exactly that number, without rounding up. Note that there is a linear relationship between the number of miles a vehicle has traveled and the price of the toll.# of Miles traveled on toll lane Toll ($)0 .251 1.002 1.755 4.0010 7.75A. If Frank is on the toll road for 8.00 miles and then leaves the lane, how much will he have to pay total for the trip?B. Each day, Susan has to pay a toll of $10.00 when she uses the toll lane to get to school. How many miles does Susan travel on the toll lane to get to school?C. John started a carpool with his coworkers to save money. He and his three passengers split the cost of the toll. If each person pays about $2.31 (which includes their contribution to the toll lane entry fee), how many miles do they travel on the toll lane? what was one result of the fordney McCumber act A trait that helps an organism to survive and reproduce is called an... a. Adaptation b. Allele c. Variation d. Selection ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. Which planets have evidence of water on the surface? Select two options. Evaluate the following:a to the power 3 times a to the power 6 times a to the power 4 A new car has a sticker price of $25,550, while the invoice price paid on it was$19,990. What is the percent amount of markup? What was Operation Desert Storm? How did it affect the country? What did it achieve? WILL GIVE BRAINLIESTPatel brings home $2,500 per month. He pays $400 per month for a car payment. What percentage best represents Patel's budget that is designated for his car payment? Why did the Southern states not want Congress to tax exports? Which is the closest antonym for the word bogus? How many years between the founding of Rome and Constantines conversion to Christianity? ___ mas agua A. Beba B. Beben C. Bebemos D. Bebo