Find the exact value of each trigonometric function using the unit circle ​

Find The Exact Value Of Each Trigonometric Function Using The Unit Circle

Answers

Answer 1

Answer:

Step-by-step explanation:

8)

co-terminal angle for -960... can you tell me?  :D  w/o looking at my answer below?

Your answer for co-terminal angle is   ______________ :)

960 - 360 = 600

600 - 360 = 240

this is telling us that going in a clock wise direction.. as the -960 is, that the co-terminal angle is 240, which seems about right.. looking at the graph. so now. let's take 240 away from 360 to find that co-terminal angle but going in the positive direction or the counter clock wise direction

360-240 = 120

and yes.. that does look like 120 °  going in the positive direction.  

now do you know the sec identity  to use sin and cos???

look at the below diagram

sin     sec

cos    csc

tan    cot

the trig function line up like that for a reason

sin     1/sin

cos    1/cos

sin/cos   cos/sin

I put them in their sin and cos identities.. see.. they all line up that way

sec = 1/sin

csc = 1/cos

tan = sin/cos

cot = cos/sin

now... find

sec(120) = 1/sin(120)

do you know how to find sin(120) ?????

put it back to it's co-terminal angle in the 1st quadrat... I hope you know how to do this.. i'll just speed along... assuming you do

sin(120) = sin(60)= √3/2

so sec(120) = 1 / √3/2  

so sec(120) = 2/ √3

10)

csc(315) = 1/cos(315)

find the co-terminal angle that you know in the 1st quadrant again...

so 315 = 45 in the 1st quadrant.. I just looked and can see that

so

csc(315) = 1/cos(315   =  1/cos(45)     and cos(45) = √2/2

so then  1 /  √2/2   =   2 / √2

csc(315) = 2 / √2

what i'm really wondering about.. is .. where is question 9)

:DDD


Related Questions

Use the net to find the surface area of the regular pyramid.

Answers

Answer:

40 in²

Step-by-step explanation:

There are four triangles for each side of the pyramid, and the height is three inches. The area of a triangle is base times height divided by 2, so each triangle is 6 in².

4(base) x 3(height) ÷ 2 = 6

Multiply 6 by 4 because there are four triangles, which is 24.

Once you have that, the only surface left is the bottom of the pyramid. You can find this by multiplying 4 by 4, since it's a square.

4 x 4 = 16

If you add 16 and 24 together, that's your answer.

Answer:

40

(its right i did this)

For Problems 1-3, use the grid to the right.

1. What is the sum of column A?

2. What is the product of column B?

What is the product of column C?

Answers

Answer:

1. -5

2. -24

3. 0

Step-by-step explanation:

Sum means addition.

Product means multiplication.

A negative times a negative will give you a positive.

Anything times zero is zero.

1. -2 + 5 + (-8) = -5

2. -1 * -4 * -6 = -24

3. 10 * 0 *-9 = 0

Randy is playing a number game. Beginning with the number 6, he adds 4, multiples by
5, and then divides by -10. He then subtracts 2. What number does he find at the end of
the game?

A. -7
B. -3.6
C. -4.6
D. -5

Answers

The answer for this is -3.6 you need to add them together then subtract!

Seth owns a local ice cream parlor. He designed a new sign in the shape of an ice cream cone and cut it from plywood. He wants to attach LED lights around the PERIMETER of the sign. A diagram of the sign made from a TRIANGLE and a SEMICIRCLE is shown below. What is the length of LED lights he will need to span the PERIMETER of the sign?

Answers

Answer:2 feet i think?

Step-by-step explanation:

sorry need points

I will give you BRAINLIEST for the correct answer

Answers

Answer:

126

AS:

If these cubes are to to be placed so that their respective faces are parallel

or perpendicular, as the case may be, to the respective orientations of the

dimensions of the box, without tilting any cubes in any directions,

then choice B) can be justified. This leaves spaces (some volume) in the box

not filled by the cubes.

How many whole number of edges of the cubes fit into 4 cm?  

4 / 3 √ 2   must be rounded down to 3.

How many whole number of edges of the cubes fit into 8 cm?  

8 / 3 √ 2   must be rounded down to 6.

How many whole number of edges of the cubes fit into 10 cm?  

10 / 3 √ 2   must be rounded down to 7.

Then (3)(6)(7) = 126

someone please helppp

Answers

Answer:

7

Step-by-step explanation:

We know that alternate angles ( Z angles) are equal

So, the angle that is adjacent to (13x + 2) = (12x+3)

First, calculate the measure of the angle adjacent to (13x+2)

We know that the angles on a straight line add up to 180 degrees.

Therefore, the angle adjacent to (13x+2) = 180-(13x+2)

Simplify this to: 178-13x

So, now we have an equation

178 - 13x = 12x + 3

Rearrange to find the value of x

25x = 175

x = 7

Hope this helps.

The American Water Works Association reports that the per capita water use in a single-family home is 76 gallons per day. Legacy Ranch is a relatively new housing development. The builders installed more efficient water fixtures, such as low-flush toilets, and subsequently conducted a survey of the residences. Twenty-seven owners responded, and the sample mean water use per day was 71 gallons with a standard deviation of 9.5 gallons per day. At the 0.01 level of significance, is that enough evidence to conclude that residents of Legacy Ranch use less water on average

Answers

Answer:

Yes, that is enough statistical evidence to suggest to conclude that residents of Legacy Ranch use less water on average

Step-by-step explanation:

The data given by the American Water Works Association are;

The per capita water use in a single-family home, μ = 76 gallons per day

The number of responders in the sample, n = 27

The sample mean water used by the sample, [tex]\overline x[/tex] = 71 gallons

The standard deviation, s = 9.5 gallons per day

The level of significance, α = 0.01

The test statistics is given as follows;

The null hypothesis, H₀; μ ≥ 76 gallons

The alternative hypothesis, Hₐ; μ < 76 gallons

[tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s}{\sqrt{n}}}[/tex]

Therefore, we have;

[tex]t=\dfrac{71-76 }{\dfrac{9.5}{\sqrt{27}}} \approx -2.734817[/tex]

At n - 1 = 27 - 1 = 26 degrees of freedom, the critical-t = 2.5

From the test statistic, of t ≈ -2.734817, the p-value < 0.01, and from a graphing calculator, the p-value is given as Prob = 0.005544418

Therefore, given that the p-value is less the significant level, and less than 0.01, is therefore statistically significant, and therefore, there is sufficient statistical evidence against the null hypothesis, therefore we reject the null hypothesis, and there is enough statistical evidence to suggest to conclude that residents of Legacy Ranch use less water on average.

I need to know what the answers are and show work. Please help me! And thank you!

Answers

Answer:

x=29

∠C=93°

Step-by-step explanation:

180°-52°-35°=3(x+2)°

180°-87°=(3x)°+6°

93°=(3x)°+6°

(3x)°=87°

x=[tex]\frac{87}{3}[/tex]

x=29

∠C=3(x+2)°

=3(29+2)°

=3(31)°

=93°

Name the marked angle in 2 different ways.
M
L
J
K

Answers

Answer:

Angle J and angle MJK or maybe right angle....

These are the three ways...

Hope it helps

Step-by-step explanation:

f(x)=x^2. What is g(x)?

A. g(x) = x^2

B. g(x)=-2x^2

C. g(x)=x^2 - 2

D. g(x)=-x^2 - 2​

Answers

Answer:

B

Step-by-step explanation:

TRUST.

if im wrong im really sorry

i would have failed you

i would feel guilty

and I would forget about it in like 5 minutes

The answers to any of these would be really helpful

Answers

Answer:

Step-by-step explanation:

Q9) Surface Area of a cylinder

= 2πr(r + h)

Diameter = 12cm , Radius = Diameter/2 = 12 cm/2

r = radius = 6cm

h = height = 10 cm

Surface area = 2 × π × 6(6 + 10)

= 603.18579 cm²

Approximately = 603.2 cm²

Q11) Volume of a rectangular prism

Length × Width × Height

Length = 6.5cm

Width = 8.5 cm

Height = 4 cm

Volume = 6.5 cm × 8.5 cm × 4 cm

Volume = 221 cm³

Q12) Volume of the cylinder = πr²h

r = radius = 1.7m

h = height = 9 m

Volume = π × 1.7 × 9

= 81.71 m³

Approximately = 81.7 m³

Q13) Volume of the cylinder = πr²h

Diameter = 0.8m, Radius = Diameter/2 = 0.8m/2

r = radius = 0.4m

h = height = 1.5 m

Volume = π × 0.4 × 1.5

= 0.75 m²

Approximately = 0.8 m³

The number of points Jaden scored in a game is less than 45, and is also a multiple of 7. How many points could Jaden have scored

Answers

Answer:

35

Step-by-step explanation:

The first few multiples of 7 are:

× 7 = 7

× 7 = 14

× 7 = 21

× 7 = 28

× 7 = 35

× 7 = 42

× 7 = 49

× 7 = 56

× 7 = 63

× 7 = 70

The number of points Jaden scored in a game less than 45, and a multiple of 7 is 35 points

How to find how many points Jaden scored?

The multiples of 7 are;

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105......

Recall,

The number of points Jaden scored in a game is less than 45

From the options, we are left with 17 and 35

17 is not a multiple of 7

Therefore, the number of points Jaden scored in a game less than 45, and a multiple of 7 is 35 points

Learn more about multiples of numbers:

https://brainly.com/question/85194

Find the circumference of the circle. Use 3.14 for π. Round to the nearest hundredth, if necessary.

Answers

Answer:

There is no circle

Step-by-step explanation:

If you post the circle, I will help

Make sure to attach a file of the photo (Please no links)

Classify this triangle by its sides and angles.

Answers

Answer:

choice 3) acute and equilateral

Step-by-step explanation:

Acute + Equilateral

Jack and Jill each opened accounts that earn 5% interest compounded annually. Jack deposited $2500 and Jill deposited $3000. No additional money was deposited or withdrawn. At the end of 6 years, what will be the combined balance of these two accounts? (Round to the nearest cent)

Answers

Answer:

3,850

Step-by-step explanation:

have a good day!!

Is this adjacent vertical or linear can someone plz tell me the answer

Answers

Answer:

vertical

Step-by-step explanation:

its going straight up

Can someone help me please ☺

Find the cost of fencing a park with the length of 175 meters and a width of 125 meters. The cost is $12. per meter.

Answers

Answer:

The answer is $3600 I hope this is helpful.

See image for question and answer choices

Answers

Answer:

B.

Step-by-step explanation:

So, lets remember a few things first.

#1: The formula for finding the answer is A^2+B^2=C^2

#2: A is the opposite side, B is the adjacent side, and C is the hypotenouse side.

Now lets plug in what we already know, and see if we canf igure out the annswer:

A^2+12^2=13^2

Now I am going to stop us here. This is your equation that will find the answer. In your question, they use x^2, A^2 is a variable you can use instead. But looking at this, answer B and my equation I wrote above are exactly the same.

If you want, here is how I further solved it, this might give you a better grasp on what to do for future problems:

Ok, not  too bad, the A is the unkown value, which is the opposite side.

Now, how do we figure this out? Well, we just need to sovle for A.

To do this, lets clean up our equation by first sqauring all the values(except for the unkown):

A^2+144=169

Ok, that looks better, now lets just subtract the adjeacent side(b), which is 144, from the hypotenouse side(c), which is 169.

This will now look like:

A^2=25(169-144=25)

Ok, just one more step to go. Just square root both sides of the equation, this way, we will get ride of the ^2 on A(opposite side), and get A alone.

([tex]\sqrt{A^2}=A[/tex])=([tex]\sqrt{25}=5[/tex])

A=5

This is your answer.

1.26 - 0.06 (2 marks)​

Answers

Answer:

1.2

Step-by-step explanation:

So in the picture, there is the working out I did (sorry for the bad writing). When you work out the question, remember to match the decimal points (I've done this in the pic). The answer I got was 1.20 but that is the same as 1.2.

hope this helps :)

i need help with this asap
decide whether each if the pairs if angles given and illustrated are
alternate exterior
alternate interrior
correspondkn
vwrtical
1,2,3,4,5,6​

Answers

Answer: i think its alternate interior

Helpppppppppppppppppppppp

Answers

Answer:

8.04 units

Step-by-step explanation:

By Pythagoras Theorem:

[tex] {x}^{2} = \bigg( \frac{25.2}{2} \bigg)^{2} - {(9.7)}^{2} \\ \\ {x}^{2} = ( 12.6)^{2} - {(9.7)}^{2} \\ \\ {x}^{2} = 64.67 \\ \\ x = \sqrt{64.67} \\ \\ x = 8.04176598 \\ \\ x \approx \: 8.04[/tex]

Please answer correctly! I will mark you as Brainliest

Answers

Answer:

33,333 ft^3

Step-by-step explanation:

A pyramids volume can be defined by V=lwh/3. We know the base is 1000 ft^2, so we multiply that by an additional 100 for the height. We then have 100,000 ft^3. After that, we simply divide it by three, which is 33,333.3 repeating, and round it to 33,333 ft^3

A computer manufacturer built a new facility for assembling computers. There were construction and new equipment costs. The company paid for these costs and made combined profits of $10 million after 4 years, while profits increased
$7.5 million per year. Select the correct graph of this function

Answers

Answer:

Step-by-step explanation:

The answer is: There is a graph of a line that has a y intercept that is approximately negative $80 million and an x intercept that is approximately 2.7 years.

hope this help and srry if wrong

which of these is the BEST theme for this poem?

Answers

Answer:

the answer is if we don't act the beauty of nature may disappear

Step-by-step explanation:

This is so because nature is fragile and needs to be taken care of properly thus this poem portrays various ways we are endangering nature and it's beautiful aesthetic features

Are the expressions equivalent? Select all that apply.
A:3n + 2 - 4n and 2 - n

B:5(3x + 2) and 15x + 10

C:2(r×r×r) and 6r

D:-8(2z – 3) and -16z - 3​

Answers

A, B, and C are the correct answers

I NEED HELP WITH THIS MATH

Answers

Answer:

v = 120

Step-by-step explanation:

The right angle is egual to 180-39-v, so it is: v-141

U now that the sum of the internal angles of a triangle is 180°.

180 = (v-48)+(v)+(v-141)

180 = 3v - 180

3v = 360

v = 360/3

v = 120

Answer:

89 = v

Step-by-step explanation:

not completely sure how i got it

good luck

PLZ help me on this ASAP which one is it??? Its due in a couple of mins :(((

Answers

Answer:

answer two solution

Step-by-step explanation:

Plz someone answer this for me asap !
Find the perimeter of each shape

Equation :
X:
Perimeter:

Answers

Answer:

The equation is;

4(2.5x-3) = 3(2x-2)

The value of x is 1.5

Step-by-step explanation:

Mathematically, the perimeter of a square is simply the product of the length of the side and 4

Secondly, the perimeter of an equilateral lateral triangle is the product of the length of its side and 3

Thus, mathematically, we have it that;

4(2.5x-3) = 3(2x-2)

10x - 12 = 6x -6

10x -6x = -6 + 12

4x = 6

x = 6/4

x = 1.5

HELP ME PLEASE I'll give brainless.

Answers

Answer:

<QRP=42 degrees

Step-by-step explanation:

Since the angles are sequential, they are the same. This is because the transversal cuts across parallel lines, creating said sequential angles.

Answer:

42 degrees since QS&TV are parallel

8. The speed of a
delivery truck
varies inversely
with the time it
takes to reach its
destination. If the
truck takes 3 hours
to reach its
destination
traveling at a
constant speed of
50 miles per hour,
how long will it
take to reach the
same location
when it travels at a
constant speed of
60 miles per hour?
2 hours
2 1/3 hours
2.5 hours
2 2/3 hours

Answers

Answer:

2.5 hours

Step-by-step explanation:

If it takes 3 hours at 50 mph, it's traveling 150 miles (3 x 50)

150 miles at 60 mph is 2.5 hours (150/60)

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