If sin theta = -½ and theta lies in Quadrant IV , find the value of all the other five trigonometric functions. ​

Answers

Answer 1
SOLUTION :-

Given that,

θ € 4th quadrant

3π/2 < θ < 2π

And

sin θ = - 1/2

We know,

sin²θ + cos²θ = 1

[ -1/2] ² + cos²θ = 1

1/4 + cos²θ = 1

cos²θ = 1 - 1/4

cos²θ = 4 - 1 / 4

cos²θ = 3/4

cos²θ = + √3/2

As,

θ € 4th quadrant = cos θ > 0

cosθ = √3/2

tan θ = sin θ / cos θ

tan θ = 1/2 ÷ √3/2

tan θ = - 1/√3

Now,

cosec θ = 1/sin θ = -2

sec θ = 1/cos θ = 2√3

cot θ = 1/tan θ = - √3


Related Questions

f(x)=^3 4x g(x)=2x+3 find(f/g) (x). Include any restrictions on the domain.​

Answers

Answer:answer is b

Step-by-step explanation:

The value of function (f/g)(x) is 3√4x/2x+3 , where x ≠ -3/2.

What is Function?

A relation between a set of inputs having one output each is called a function.

The functions are given as;

f(x) = 3√4x

g(x) = 2x + 3

Now, We are to find the value of function (f/g)(x) as;

(f/g)(x) = f(x)/g(x)

(f/g)(x) = 3√4x/2x+3

Hence, The value of function (f/g)(x) is 3√4x/2x+3

And, Restriction of the function occurs at the point where the denominator is zero.

Hence,

2x + 3 = 0

2x = -3

x = -3/2

So, The required function (f/g)(x) is 3√4x/2x+3 , where x ≠ -3/2.

Learn more about the function visit:

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A rectangular prism is 2 millimeters long and 9.9 millimeters high. Its volume is 138.6 cubic millimeters. What is the width of the rectangular prism?​

Answers

Answer:

7 mm

Step-by-step explanation:

2*9.9=19.8

138.6/19.8=7

Aaron and his mother planted 27 trees on Wednesday.
The ratio of oak trees they planted to the total number of
trees they planted was 2:9. How many oak trees did Aaron
and his mother plant on Wednesday?
A)5
B)13
C) 6
D) 21

Answers

Answer:

A. 5

Step-by-step explanation:

let us use the part to whole approach

given the ratio= 2:9

the total ratio= 2+9=11

the total trees planted=27

using the part to whole, the oak trees planted is given as

let the number of oak trees be x

2/11=x/27

cross multiply we have

11x=27x2

11x=54

x=54/11

x= 4.90

approximately 5 tree

Answer: A 5

Step-by-step explanation:

Need help please!!!!!

Answers

Answer:

Yes, it is false.

rainer has 12 apples he gave 8 apples to his friend.How many apples does he have now.

Answers

Answer: he has 4 apples now

Step-by-step explanation:

He has 12 apples to begin with and he gives away 8 to his friend

So, 12 - 8

This gives you 4

Answer:

4

Step-by-step explanation:

12 - 8 = 4

To double check: 8 + 4 = 12

Have an amazing day!

PLEASE RATE!!

Pls help ill give brainliest!!!

A- What do you notice? Why is this true?

B- What is slope? Write a conclusion about the ratio and slope.

C- Write an equation for the line that represents wages earned (y = mx + b):

D- According to the equation, how much could a person earn who works 40 hours?


E- What if the person got a $50 bonus and also worked some hours? How would this change the graph?

Answers

The linear equation is given by y = 15x. A person earns $600 for working 40 hours

What is a linear equation?

A linear equation is in the form:

y = mx + b

Where y, x are variables, m is the rate of change and b is the y intercept.

The line passes through (7, 105) and (8, 120), hence:

y - 105 = [(120 - 105)/(8-7)}(x - 7)

y = 15x

For 40 hours:

y = 15(40) = $600

if the person got a $50 bonus and also worked some hours, it would change the graph

Find out more on linear equation at: https://brainly.com/question/14323743

Find the range of the quadratic function.
y= 3x2 – 18x+ 23
Write your answer as an inequality using x or y as appropriate.
Or, you may instead click on "Empty set" or "All reals" as the answer.

Answers

Answer:

-4 ≤ y <∞.

Step-by-step explanation:

y = 3x² - 18x + 23

= 3(x² - 6x) + 23

= 3(x² - 6x + 9) - 27 + 23

= 3(x - 3)² - 4 ≥ -4

So the range is -4 ≤ y <∞.

A scientist drops a probe in the water. The depth of the probe changes −112 feet every second. How many seconds will it take for the probe to reach the bottom at a depth of −114 feet?

Answers

Answer:

1.01785714286 seconds

Step-by-step explanation:

What you need to do is take the final end position and divide it by the speed which is -112 units every second and you get the amount of time that it should take.

Which expression has a value of 48?

(16 - 8) x (2 + 4)

16 - (8 x 2 + 4)

16 - 8 x (2 + 4)

(16 - 8) x 2 + 4

Answers

Step-by-step explanation:

(16-8)×(2+4)

(8)×(2+4)

(8)×(6)

48

the 3rd one hope that helps!!!

(PLEASE HELP!!!)Which shows the list of numbers in order from least to greatest?

Answers

Answer:

B

Step-by-step explanation:

hope this helps

Answer:

A

Step-by-step explanation:

-2 is the least because the two lines means the number inside will be positive.

this means that -4/5 will be 4/5. Then 1. Then 3.5. Finally, 4.2

Hope this helps you

2. A library bookshelf can hold 264 books. There are 15 bookshelves in our library. How
many books can be placed on our 15 bookshelves?

Answers

Answer:

it can hold 3,960 books

Step-by-step explanation:

264 × 15 = 3,960 just multiply the bookshelves by how much it can hold

Find yhe equation of the line passing through the points (1, -5) and (9, 11) y = [?]× + []

y = [?]× + []

Answers

Answer:

y=mx+b

m=(11-(-5))/(9-1)

m=16/2

m=8

y=8x+b

-5=8(1)+b

b=-13

y=8x-13

Jessica was planting flower seeds in a garden. She planted 22.75 square feet of seeds in 7 minutes. At what unit rate did Jessica plant seeds?​

Answers

Answer:

we just need to divide the amount of feet by the minutes so

22.75 divided by 7=3.25

so she plants 3.25 square feet a minute

Hope This Helps!!!

Answer:

3.25 per min

Step-by-step explanation:

Jeffrey colors 20% of the shapes on a page. He colors 8 shapes. What is the total number of shapes on the page? There were total shapes on Jeffrey's page​

Answers

20% = 8
8*5=40
there’s 50 shapes in total
Answer

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

Total = 40

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

Step-by-step explanation:

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

Based on the information given the total number of shapes on Jeffrey paper is  40 shapes.

⇒ Using this formula;

Total number of shapes=Number of shapes/Percentage of total sales

Which:

Number of shapes= 8

Percentage of total sales=20% or .20

Let's plug in the formula;

Total number of shapes=8/.20

Total number of shapes=40 shapes

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

~[RevyBreeze]~

Choose the equation for the graph
below.
x+1
a.y =
X-2
2x-3
b.y =
X-4
3-X
c. y =
xt?
x+2
X
d.y=
2x+4
X-1
e.y=
x+4

Answers

look up on desmos it will give the correct answer

Two angles are supplementary if their sum is 180 degrees

Answers

Answer:

maybe 80 degrees and 100? might be wrong dont count on me fully

Step-by-step explanation:

Rewrite the expression using each base only once.
5^-13x5^5x2^5

Answers

the answer would be 5-13x2 ^5 ^5

The expression 5⁻¹³× 5⁵ × 2⁵ can be rewritten as 5⁻⁸ × 2⁵.

What is Exponentiation?

Exponentiation is the method of writing a number in terms of powers. This method is usually useful for writing larger numbers in an understandable and effective way.

For a number x, suppose x can be written as aᵇ, here 'a' is called the base and 'b' is called the exponent.

We have to write the expression 5⁻¹³× 5⁵ × 2⁵ in a form where each base comes only once.

This can be solved using one of the basic property of exponents as stated below:

xᵃ × xᵇ = xᵃ⁺ᵇ

That is, upon multiplying two exponents with the same base value, we can combine it and add the exponent values.

∴ 5⁻¹³× 5⁵ can be rewritten as 5⁻⁸.

So 5⁻¹³× 5⁵ × 2⁵ =  5⁻⁸ × 2⁵.

Hence the expression 5⁻¹³× 5⁵ × 2⁵ can be rewritten as  5⁻⁸ × 2⁵ where each base comes only once.

To learn more about Exponentiation, click on the link given below:

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Solve for h.
A=3h
Can anyone help me?

Answers

Answer:

h = 3/A

Step-by-step explanation:

A = 3h

Divide both sides by 3 to isolate h:

A/3 = 3h/3

Simplify and get

A/3 = h or h = A/3

Hope this helps!

PLEASE HELP! FIND THE AREA

Answers

Answer:

All you need to do is split the shape so that you can find the individual area

Step-by-step explanation:

So we first split the shape so we get a triangle...

A=1/2bhB=2H=4A=1/2*2*4A=4

Now we split the shape again to get another square...

A=lwA=2*4A=8

Then we find the area of the other square...

A=lwA=2*5A=10

Our last step is to add all the areas together

we let TA represent Total areaTA=4+8+10TA=22

Hence the area is 22

what is the sum of 2.5 × 10^4 × 10^4​

Answers

Answer:

2.5 ⋅10^8

Step-by-step explanation:

What is the perimeter of a square?

Answers

Explanation:

Let the side of a square be represented as "x".

The perimeter of a square is the sum of it's sides. Since the sides are equal, we can add x four times to get the perimeter.

[tex]\rightarrowtail \text{Perimeter of square} = 4 \times x[/tex]

[tex]\rightarrowtail \text{Perimeter of square} = x + x + x + x[/tex]

[tex]\rightarrowtail \boxed{\text{Perimeter of square} = 4x}[/tex]

To find the perimeter of the square, simply substitute the side length of the square into 4(Side length) to find the perimeter.

The volume of this cylinder is 2,813.44 cubic feet. Height is 14 feet. What is the radius?

Answers

Answer :

8 feet.

Given :

The volume of cylinder is 2,813.44 cubic feet.Height of the cylinder is 14 feet.

To Find :

The radius.

Solution :

We know,

[tex] \bf \longrightarrow \qquad \: \pi {r}^{2} h = \: Volume_{(cylinder)}[/tex]

Where,

r is the radius of the cylinder.

h is the height of the cylinder.

Here, we will take the value of π as 3.14 approximately .

Substituting the values in the formula :

[tex] \sf \longrightarrow \qquad \: 3.14 \times {r}^{2} \times 14 = \: 2813.44[/tex]

[tex]\sf \longrightarrow \qquad \: 43.96 \times {r}^{2} = \: 2813.44[/tex]

[tex]\sf \longrightarrow \qquad \: {r}^{2} = \: \dfrac{ 2813.44}{43.96}[/tex]

[tex]\sf \longrightarrow \qquad \ {r}^{2} = \: 64[/tex]

[tex]\sf \longrightarrow \qquad \: {r} = \: \sqrt{64} [/tex]

[tex]\pmb{ \bf{ \longrightarrow \qquad \: {r} = \: 8}}[/tex]

Therefore,

The radius of the cylinder is 8 feet.

Choose the equation and description for the
relationship given in the table.
x = 0.035y. There are 0.035 grams in every ounce.
y = 0.035x. There are 0.035 ounces in every gram.
x = 0.035y. There are 0.035 ounces in every gram.
y = 0.035x. There are 0.035 grams in every ounce.

Answers

Answer:y= 0.035x. There are 0.035 ounces in every gram.

Step-by-step explanation:I just did the assignment and got it right

Answer:

y = 0.035x. There are 0.035 ounces in every gram.

Its B

Step-by-step explanation:

What is the mode of the following distribution: 8, 6, 5, 4, 1, 5, 3?

Answers

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

5 repeats twice

To make the expression 4x−2+□(2x+4) equivalent to 2(6x+7), what must be the value in the box?

Answers

Answer: 4 goes into the box!!

Step-by-step explanation:

Answer:

yo add AlexGot_u on ps4

Step-by-step explanation:

Help math math math ASAP

Answers

Answer:

[tex]\displaystyle y = -\frac{1}{4}x - 10[/tex]

Step-by-step explanation:

Perpendicular equations have OPPOCITE MULTIPLICATIVE INVERCE RATE OF CHANGES [SLOPES], so 4 becomes −¼. Now, proceed with plugging the information into the Slope-Intercept Formula:

[tex]\displaystyle -11 = -\frac{1}{4}[4] + b \hookrightarrow -11 = -1 + b; -10 = b \\ \\ \boxed{y = -\frac{1}{4}x - 10}[/tex]

I am joyous to assist you at any time.

Answer:

y= - 1/4 of 10

Step-by-step explanation:

Question 2! Need help please

Answers

Because every six months they take away 4.5% but when that was over you earned money back so false

Steven’s cat drinks water from a bowl. The following function represents the ounces of water left in the bowl in terms of hours since it was filled. y= -1/2x + 4 Which variable represents the number of hours since the bowl was filled

Answers

Considering the given linear function, variable x represents the number of hours since the bowl was filled.

What is a linear function?

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.

In this problem, the number of ounces of water left in the bown after x hours is given by:

y = -0.5x + 4.

Variable x is the input, hence, it represents the number of hours since the bowl was filled.

More can be learned about linear functions at https://brainly.com/question/24808124

Answer:

Part A: The number of ounces of water left in the bowl depends on the number of hours since the bowl was filled. So the number of ounces is the dependent quantity. The y-variable represents the dependent quantity. So, the y-variable represents the ounces of water left in the bowl.

Part B: The number of hours since the bowl was filled is the independent quantity. The x-variable represents an independent quantity. So, the x-variable represents the number of hours since the bowl was filled.

Part C: The value 4 is the initial value of the function. It represents the ounces of water in the bowl immediately after the bowl was filled and before the cat drank any water from the bowl.

Part D: The value -1/2 is the function’s rate of change. It represents the change in ounces of water in the bowl with every hour.

Step-by-step explanation:

I took the Edmentum test.

If y varies directly as x and y = 12.4 when x = 4, find the equation that relates x and y.

Answers

Answer:

y = kx

Step-by-step explanation:

k = constant of proportionality

Answer:

y = kx

Step-by-step explanation:

This shows direct variation between the values of x and y, where k is the proportionality constant.

select the digit in the ten thousand place for 542,970​

Answers

Answer:

The digit in the ten thousand place is 4 in 542,970

Step-by-step explanation:

It’s 4
Hope this helps :)
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