If, P(x,y) is a point on the unit circle determined by real number δ, then tanδ = what

Answers

Answer 1
[tex]\bf sin(\theta)=\cfrac{opposite}{hypotenuse} =\cfrac{y}{r} =\cfrac{1}{csc(\theta)} \\ \quad \\\\ % cosine cos(\theta)=\cfrac{adjacent}{hypotenuse} =\cfrac{x}{r} =\cfrac{1}{sec(\theta)} \\ \quad \\\\ % tangent tan(\theta)=\cfrac{opposite}{adjacent} =\cfrac{y}{x} =\cfrac{sin(\theta)}{cos(\theta)}[/tex]

[tex]\bf cot(\theta)=\cfrac{adjacent}{opposite} =\cfrac{x}{y} =\cfrac{cos(\theta)}{sin(\theta)} \\ \quad \\\\ % cosecant csc(\theta)=\cfrac{hypotenuse}{opposite} =\cfrac{r}{y} =\cfrac{1}{sin(\theta)} \\ \quad \\\\ % secant sec(\theta)=\cfrac{hypotenuse}{adjacent} =\cfrac{r}{x} =\cfrac{1}{cos(\theta)}\\\\ -------------------------------\\\\ P(x,y)\implies \delta\qquad tan(\delta)=\cfrac{y}{x}[/tex]

Related Questions

At green deli employees earn double time for any hours worked in addition to their usual 40-hour week. Ester Klein worked 43 hours this week. Klein's regular hourly rate is $9.00 an hour. What is her total pay this week?

Answers

For the 40 hour week, they would be paid 40 multiplied by 9 which is 360. For the additional 3 hours they would be paid 18 dollars an hour, because its double.18 multiplied by 3 is 54. 360 + 54= 414. The answer is $414

Answer:

$414.00

Step-by-step explanation:

At green deli employees earn double time for their over time.

Klein's regular hourly rate = $9.00

So, her overtime rate = $9 × 2 = $18.00

Ester Klein worked 43 hours this week.

40 hours regular work + 3 hours overtime

Her total pay this week = (40 × 9) + (3 × 18)

                                       = 360 + 54

                                       = $414.00

Her total pay this week is  $414.00

The perimeter of a rectangle is 112 cm. if the length is 30 cm, how wide is the rectangle?

Answers

P = 2l + 2w
112 = 2(30) + 2w
112 = 60 + 2w
52 = 2w
26 = w
The width is 26 centimeters

Which graph represents the function p(x) = |x – 1|?

Answers

Answer: The correct option is fourth option.

Explanation:

The given function is,

p(x)=|x-1|

The graph of the given function is a transformed form of f(x)=|x|.

The parent modulus function is,

P(x)=|x+a|+b

If a>0, then graph shifts left by a units and if a<0, then  graph shifts right by a units.

If b>0, then graph shifts upward by b units and if b<0, then  graph shifts downward by b units.

Since the value of a is -1 and value of b is 0, therefore the graph of f(x)=|x| shifts right side by 1 unit.

Hence the fourth option is correct.

Other way to choose the correct option is find the x intercept and y intercept.

Put x=0

P(x)=|0-1|= -1

So y-intercept is (0,-1)

Put p(x)=0

0=|x-1|

x=1

So, the x-intercept is (1,0).

From x and y-intercepts, we can say that the fourth option is correct.

Answer:

Fourth graph represent the  function p(x) = |x – 1|.

Step-by-step explanation:

Given :  Function p(x) = |x – 1|.

To find : Graph .

Solution : We have given that  Function p(x) = |x – 1|.

The graph of the given function is a transformed form of f(x)=|x|.

By the transformation rule f(x-h)  graph would be shifted to right by h units.

Since ,  grapf of function f(x)=|x| became shifted to 1 unit right.

Therefore , fourth graph represent the  function p(x) = |x – 1|.

The sum that represents the number of tickets sold if 35 tickets were sold on monday, half of the remaining tickets were sold on tuesday , and 14 ticket were sold on wenesday

Answers

X=35+{0.5 *(X-35)} +14

Name the set(s) of numbers to which 1.18 belongs.

a. rational numbers

b. rational numbers, irrational numbers

c. natural numbers, whole numbers, integers, rational numbers

Answers

118 belongs in a. rational numbers



Answer:

a. rational numbers

Step-by-step explanation:

The number is between integers, so it can't be an integer or a whole number.

In general, 1.18 belongs to three sets of numbers.

Firstly, it is a rational number because it can be written in the form p/q where p and q are integers and q is not equal to zero.

1.18=[tex]\frac{118}{100}[/tex]

Secondly, all rational numbers are also real numbers and all real numbers are complex numbers.

But we have been given to choose from only rational numbers, irrational numbers, natural numbers or whole numbers.

So, the only answer is rational number.

Why must eye protection be worn at all times in welding shop?

Answers

because of the ligting of the machine and you can go blind if theres no eye protection
The fumes are way to strong. Plus you'd have to rush to the hospital if something flew in your eyes or cut your eyes. Its always good to have protection.

A tennis ball hit from the ground level into the air. Its height above the ground at the time can be modeled by the function h(t) = -16t² +160t. The height, h, is measured in feet above the ground and the time, t, is measured in seconds after the ball is hit. How long is the ball in the air?

Answers

h(t) = -16t^2 + 160t
The ball is in the air after t=0 and when it hits the ground again at
0 = -16t^2 + 160t
16t^2 = 160t  
t = 0 and 10 shows the ball is in the air 10 seconds..

Answer:

a

Step-by-step explanation:

Help me ! Giving Brainiest!

Answers

the range is the difference between the lowest value and highest value

 so you would subtract the lowest number from the highest number

Can someone solve these for me? I have no idea what I'm doing wrong. 19 points.

Answers

the first one is 0 and the second one is -2
Okay. I think this has to do with finding the spot of "y" with "x" at a spot on the graph.
1. With "x" being at -3, we can go on the graph and see where that particular position is. When x is at -3, y is at -6. y = -6.

2. This time, we're looking for one. With x being at 1, y would be at -2, because -2 is on the y-axis, while the x-axis is still 1. y = -2.

Caitlin says the difference in their ages is 24 years. In two or more complete sentences, explain whether or not Caitlin is correct. In your explanation, include the equations and calculations necessary to support or contradict Caitlin's answer.

Answers

Hello There!

I feel as though you missed out a part of your question but i have already done this so i know the question.
Mandy's age can be represented as m
Sandy's age can be represented as s.
[tex] \frac{m}{s} [/tex] = [tex] \frac{2}{5} [/tex]
s = [tex] \frac{5m}{2} [/tex]
After 8 years:
[tex] \frac{m+8}{s+8} [/tex] = [tex] \frac{1}{2} [/tex]
Equation:
2m + 16 = s + 8
2m + 8 = s
2m + 8 = [tex] \frac{5m}{2} [/tex]
Therefore, m = 16
s = [tex] \frac{5m}{2} [/tex]
s = [tex] \frac{5(16)}{2} [/tex]
s = 40
Mandy is 16 now
Sandy is 40 now
40 - 16 = 24
Therefore, Caitlin is correct.

Hope This Helps You!
Good Luck :) 

- Hannah ❤
Mandy and sandy's present ages are 16 years and 40 years respectively.
and the difference in their ages is 24 years.
So, Caitlin is right.

the area of a rectangular swimming pool is 10x^2-19-15 the length is 5x+3 .what is the width of the pool?

Answers

2x-5 is the answer
hope it helps!
Hi There!


The answer is > 2x-5

Hope this helps please mark brainliest:)




2x-5

Of a group of students, 5/8 of them are boys. the girls are put into groups so that each group has 1/16 of the total number of students. how many groups of girls are there?

Answers

Because 5/8 of the group of students are boys, therefore
3/8 of the group are girls.

If the group of girls is subdivided into groups of 1/16, then the number of groups is
[tex]n= \frac{(3/8)}{)1/16)} = \frac{3}{8} \times \frac{16}{1} =6[/tex]

Answer: 6

If -4 is added to a number and them sum is doubled, the result is -16 less than the number. find the number.

Answers

let the number be x
(-4+x)×2 = x-(-16)
-8-2x=x+16
-2x-x=16+8
-3x=24
x=24÷-3
x=-8

Final answer:

By setting up an equation based on the given problem (2(n - 4) = n - 16) and solving for n, we find that the number in question is – 8.

Explanation:

To find the number in question, let's represent the unknown number as n. According to the problem, if -4 is added to a number and then the sum is doubled, it equals the number decreased by 16. So the equation based on the problem is:

2(n - 4) = n - 16

Expand the left side of the equation:

2n - 8 = n - 16

Now we want to get all the n terms on one side and the constants on the other. To do this, we subtract n from both sides:

n - 8 = -16

Next, we add 8 to both sides to solve for n:

n = -16 + 8

n = -8

So the number in question is -8.

You and four friends go to johny rockets you split the bill each person pays 6.50 how much is the origanl bill

Answers

I think the answer is 26$ but I'm not sure

The Greenville Art Museum had 12 sculptures on display that were made by students. The museum received 3 more student sculptures. After two weeks they loaned 4 of the sculptures to another museum. How many student sculptures are at the Greenville Art Museum now?

Answers

11 I think because they started with 12 got three more then loaned 4 out
Final answer:

The Greenville Art Museum currently has 11 sculptures on display after receiving 3 more sculptures and then loaning out 4 sculptures.

Explanation:

The Greenville Art Museum initially had 12 sculptures on display. They added 3 more sculptures to their collection, which increased the total number of sculptures to 15. Afterwards, they loaned out 4 sculptures to another museum. To find out how many sculptures are still at the Greenville Art Museum, we subtract the number of sculptures loaned out from the total.

Starting with 15 sculptures, after loaning out 4, we do the following calculation:

15 - 4 = 11 sculptures

Therefore, the Greenville Art Museum now has 11 sculptures on display.

Simplify negative 7 and one over 8 minus negative 9 and one half

Answers

Negative 7 and one over 8 minus negative 9 and one half is equivalent to the equation...
-7 + [tex] \frac{1}{8} [/tex] - (-9 [tex] \frac{1}{2} [/tex])

The first step would be to use the distributive property to simplify the equation. 
-7 + [tex] \frac{1}{8} [/tex] + 9 [tex] \frac{1}{2} [/tex]

Next, you would add like terms. 
-7 [tex] \frac{1}{8} [/tex] + 9 [tex] \frac{1}{2} [/tex]
2 [tex] \frac{3}{8} [/tex]

Your answer would be 2 [tex] \frac{3}{8} [/tex]

I hope this helps!

The scale on a map of Virginia shows that 1 centimeter represents 30 miles. The actual distance from Richmond, VA to Washington, DC is 110 miles. On the map, how many centimeters are between the two cities? Round your answer to the tenth.

Answers

The ratio of cm to mi is 1/30, and we are looking for x/110. Since 1/30 = x/110, 30x=110.
x = 110/30 = 11/3 = 3.7 cm

Answer:

3.7 cm

Step-by-step explanation:

A theorem is a statement that can be easily prove using a corollary

Answers

False. Hope that helps!

Answer:

false

Step-by-step explanation:

Which postulate or theorem can be used to prove that angle abc is congruent to angle def?

Answers

ASA Postulate (Angle-Side-Angle)

If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

The ratio of men to women working for a company is 7 to 4 . if there are 133 men working for the company, what is the total number of employees?

Answers

Let w be the number of women in the company.
We can write the ratio in dividing forms.
7/4 = 133/w
W = 76
So 76 + 133 is 209
So there r 209 workers in total

which one has the same value as 1 hundred 7 tens

Answers

170? I think. I don't really understand your question

When can an economy achieve price stability? An economy can achieve price stability when there is a _____ and stable inflation rate for a reasonably long period of time.
A. Low
B. High
C. Moderate

Answers

A. Low

The lower the inflation rate, the better

hope this helps
The answer to that is 

A. Low

Divide. Write your answer in simplest form.
eight divided by seven sixths

Answers

8 / (7/6)

8 x (6/7)

48/7  = 6.857

hope this helps

Simplify the expression 11x − (2x2 + 8x).

Answers

[tex]11x - (2x^2 + 8x)[/tex] 

[tex]11x-2x^2-8x[/tex] 

[tex](11x-8x)-2x^2[/tex] 

[tex]3x-2x^2[/tex]

Check whether the given number is a solution of the equation
6x+1-5x=7;2

Answers

6x + 1 - 5x = 7 when x = 2

To check this answer, you simply need to plug in 2 for x in the original equation.

6x + 1 - 5x = 7

6(2) + 1 - 5(2) = 7

Simplify.

12 + 1 - 10 = 7

Simplify.

13 - 10 = 7

Simplify.

3 = 7

3 ≠ 7 Therefore x does NOT equal 2.

~Hope I helped!~

Five times the sum of a number and seven is thirty. find the number.

Answers

first you have to write the equation...(x+7)5=30
then solve; so, x= -1

Graph the solution set to the inequality.


A.





B.


C.


D.

Answers

Answer:

this is the question from edgenunity i bet

alright first the question is

4(8-2y)4y+ less than or equal to  32 -8

we'll solve for Y by Isolating the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

y ≥ 2

the correct answer for me was A,

Step-by-step explanation:

Ohhhh I have a math Brainliest!

Answers

1. a  2. b  3. d  i don't know about number 4

A peer is having difficulty finding angle measures using trigonometric ratios in a right triangle. Create an example to demonstrate how to do this and be sure to address using the reciprocal relationships (cosecant, secant, cotangent too)

Answers

Please see diagram:
A right triangle has 3 main trigonometric ratios. These ratios are the relationships between different sides of the triangle, how large one side is compared to the other side. If you have every angle, in degrees, of a triangle, then you can figure out the relation between the lengths of the three sides. Additionally, you can figure out the value of the angles, given the sides of the triangle. 
In the diagram, we are interested in the trigonometric ratios with respect to angle a

You see in the diagram that sine, cosine, and tangeant are described as their ratios: (one way to remember: SohCahToa
sine = opposite / hypotenuse      
cosine = adjacent / hypotenuse                 
tangeant = opposite / adjacent. 

cosecant, secant, and cotangents are just the reciprocals of these ratios:
cosecant = 1 / sin 
secant = 1 / cosine
cotangeant = 1 / tangeant

Final answer:

To find angle measures using trigonometric ratios, such as sine, cosine, and tangent, as well as their reciprocals (cosecant, secant, and cotangent), use SOHCAHTOA to relate the sides of the triangle to the angle. Utilize the inverse trigonometric functions (like arccos) on your calculator to find the angle's measure from the ratio you have calculated with sides of the triangle.

Explanation:

To find angle measures using trigonometric ratios in a right triangle, we can use the mnemonic SOHCAHTOA, which stands for Sine equals Opposite over Hypotenuse, Cosine equals Adjacent over Hypotenuse, and Tangent equals Opposite over Adjacent. Let's create an example:

Suppose we have a right triangle with a hypotenuse (h) of 10 units and an adjacent side (x) to angle theta of 8 units.

To find the cosine of angle theta, we use the ratio Cos(theta) = x/h. Thus, Cos(theta) = 8/10 = 0.8.

To determine the actual measure of angle theta, we use the inverse cosine function: theta = arccos(0.8), which gives us the angle's measure in degrees or radians.

For the reciprocal, secant (Sec) is simply the inverse of cosine: Sec(theta) = 1/Cos(theta) = 10/8 = 1.25.

If we needed to use the cotangent, which is the reciprocal of the tangent, we would first need to find the opposite side (y) using the Pythagorean theorem and then use the ratio Cot(theta) = x/y.

It's essential to understand these relationships and how to use the inverse functions to find the angle measures in a right triangle. Reciprocal relationships involve the use of cosecant (Csc), which is 1/Sin(theta), secant (Sec), and cotangent (Cot), which is 1/Tan(theta). Always make sure your calculator is set to the correct unit (degrees or radians) before calculating the angle.

Find the square numbers between 50 and 100

Answers

64, 81, and 100 are square numbers in between 50 and 100
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