Simplify cot θ sec θ.

Answers

Answer 1

Answer:

csc θ

Step-by-step explanation:

cot θ sec θ can be substituted by reducing the expression into equivalent parts.

cot θ = (cos θ)/(sin θ)

sec θ = 1/(cos θ)

Reduce these two values to get 1/(sin θ)

This expression can then be changed to csc θ, as it is also equivalent.

Answer 2

The trigonometric expression cot θ × sec θ in the simplified form will be cosec θ.

What is trigonometry?

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ cot θ × sec θ

We know that cot θ = cos θ / sin θ and sec θ = 1 / cos θ, then we have

⇒ cot θ × sec θ

⇒ cos θ / sin θ × 1 / cos θ

⇒ 1 / sin θ

We know that 1 / sin θ = cos θ

⇒ 1 / sin θ

⇒ cosec θ

The trigonometric expression cot θ × sec θ in the simplified form will be cosec θ.

More about the trigonometry link is given below.

https://brainly.com/question/22698523

#SPJ2


Related Questions

what is a way that i can get 3x and 2x to cancel out in this problem? i need to get - 5y = -13 and + 15y = -3 alone.

problem:
3x + 5y = -13
2x + 15y= 3

Answers

Answer:

For 3x + 5y = -13 the answer is x= -13/3 + 5y/3

and for 2x + 15y=3 the answer x= 1.5 + (-15y/2)

Step-by-step:

For 3x+5y=-13 you have to add 5y on both sides. Then you have to divide by 3 on both sides and cancel out the common factor of 3. Then you would get x= 13/3 + 5y/3.

For 2x + 15y=3 you have to subtract 15y on both sides of the equation. You should have 2x=3 + (-15y). Then divide by 2 on both sides. 3 divided by 2 is 1.5 and -15y divided by 2 is -15y/2 since 2 doesn't have the same variable. so the answer should be x= 1.5 + (-15y/2).

A box of pencils is 5 1/4 inches wide. Seven pencils, laid side by side, take up 2 5/8 inches of the width. How many inches of the width of the box is not taken up by pencils?

Answers

Answer:

Step-by-step explanation:

5.25 - 2.625 = 2.625 inches

If someone catches me up on edge for math I will pay 100 dollars anyway you want it. Please someone help me! If interested email me at kanemagdalene at g mail.com

Answers

Answer:

I think it will be 50$ in total

2. Nick and Adam workout together. Nick weighs
160 pounds and is gaining about 3 pounds per
week. Adam weighs 195 pounds and is los ng
about 2 pounds each week. Write an equation
that can be used to find the number of weeks
that it will take them to weigh the same amount.
a. Equation:
b. Solution:
c. How much will Nick and Adam weigh?

Answers

Answer:

Equation: 160 + 3x = 195 - 2x

Solution: 7 weeks

Step-by-step explanation:

x is going to stand for the number of weeks

Nick:

160 + 3x

Adam:

195 - 2x

Equation: 160 + 3x = 195 - 2x

Solution: 7

They would weigh 181 pounds

The equation to find when Nick and Adam will weigh the same amount is

160 + 3w = 195 - 2w

It will take 7 weeks for Nick and Adam to weigh the same amount.

After 7 weeks, Nick and Adam will both weigh 181 pounds.

What is an equation?

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

a.

Let w be the number of weeks, then the equation to find when Nick and Adam will weigh the same amount is:

160 + 3w = 195 - 2w

b.

To solve for w, we can simplify the equation:

160 + 3w = 195 - 2w

5w = 35

w = 7

c.

To find how much Nick and Adam will weigh after 7 weeks, we can plug w = 7 into either of the original equations:

Nick's weight = 160 + 3w = 160 + 3(7) = 181 pounds

Adam's weight = 195 - 2w = 195 - 2(7) = 181 pounds

Thus,
The equation to find when Nick and Adam will weigh the same amount is

160 + 3w = 195 - 2w

It will take 7 weeks for Nick and Adam to weigh the same amount.

After 7 weeks, Nick and Adam will both weigh 181 pounds.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ2

I'm stressing out can someone help!

Answers

Answer:

please like

Step-by-step explanation:

164-52=112

112÷8=14

so for a

the upper option

14w + 52(her savings) = 164 (bike cost)

for b

w=14

Answer:

xd nie powoem bo nie wiem xd xd xd xd xd xd x d

Anita drove at a constant speed of 70 mph per hour. How many miles did she travel in 6 hours?​

Answers

Answer:

420

Step-by-step explanation:

Speed x Time = Distance

70 x 6 = 420

Therefore your answer is 420.

A hollow cylinder has solid hemisphere in one end and on the other end it is closed with a flat circular plate. The height of water is 10cm when flat circular surface is downward. Find the level of the water, when it inverted upside down, common diameter is 7cm and height of the cylinder is 20 CM.​

Answers

Answer:

this will be the correct answer

Find the value of x. Write your answer as a simplified radical if necessary.

Answers

Answer:

The answer is 3

This triangle is equal to the legs and also angular and by using Pythagoras then

[tex] {x}^{2} + {x}^{2} = {(3 \sqrt{2}) }^{2} \\ 2 {x}^{2} = 18 \\ then \: x = 3[/tex]

5x + 1 = 11
What is the first step?

Answers

The first step would be to subtract 1 from both sides, leaving you with 5x = 10.

Answer:

subtract 1 from both sides... then divide 5 both sides

HELP??? What is the equation of the line in y=mx+b format?

Answers

Answer:

y = 1/2x - 1

Step-by-step explanation:

To find the slope, you need to find the y-intercept first (or the place the line crosses over the y-line). After you've found the y-intercept (-1), you need to find the next point that the line crosses. This line has a positive slope, so you'll want to look for the next point towards the right. The next point was 1 up and 2 over.

Answer:

y = 2/5x - 1

Step-by-step explanation:

There are a couple of different ways to figure this out, but since you have a graph, the fastest way is to count the slope, or m in the formula, by counting the rise (units up) over run (units to the right), which is 2/5. Then, find the value of b by finding the y-intercept on the graph, or -1.

i am so confused please

Answers

1) 8a
2) 2x
3) 8k
4) 19.25c
5) 11y-5
6) .25x+2
7) 7t+14
8) 3.2k+5
9) z+6x
10) 3n+4p
11) 2y+2x
12) 27g-3s
13) 11m+100
14) 2w+12
15) 3b+10
16) 7a+6
17) 16n+10
18) 3y+6x
19) 15p/2
20) 3s-2t

ASAP WHO EVER ANSWERS THIS WILL BE MARK BRANLIEST

Answers

Answer:

c. 5, all

(5 people were selected and all the spectators purchased tickets)

Answer:

C

Step-by-step explanation:

Sajid wants to bake cupcakes and muffins. He wants to bake a total of at least 16 cupcakes and muffins
(condition A), and he has 9000 grams of sugar (condition B).
ni
The graph represents the constraints on the number of cupcakes C and muffins M Sajid bakes.
M
20
18
16-
А
14-
12
10
8-
6+
B
41
2+
С
2
4 6
8
10 12 14
18 20
Sajid bakes 3 cupcakes. How many muffins can he bake to meet both his constraints?

Answers

Answer:

At least 13 muffins and at most 16 muffins

2, -3, -8, -13, -18,

Answers

Answer:

Step-by-step explanation:

2, -3 , -8 , -13 , - 18 .............

This is an arithmetic sequence.

First term = a = 2

Common difference = Second term - first term

                                 = -3 - 2 = -5

Nth term = a + (n - 1)*d

               = 2 + (n - 1)*(-5)

               = 2 + n*(-5) - 1 *(-5)

               = 2 - 5n + 5

             = 7 - 5n

n = 19,

19th term = 7 - 5*19

               = 7 - 95

               = - 88

n = 21,

21st term = 7 - 5*21

               = 7 - 105

               = -98

I NEED THIS ASAP!!! The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 4. If there were 4045 yes votes, what was the total number of votes?

Answers

Answer:

The total number of votes was 7281 .

Step-by-step explanation:

Let the number of no votes be x

yes : no

5 : 4

4045 : x

4045÷5 = 809

so,

x = 4 × 809 = 3236

3236 people voted no .

Total number of votes = 4045 + 3236

= 7281 ( Ans )

An experiment consists of randomly selecting a marble from a bag, not replacing it, and then selecting another marble. The bag contains 3 yellow marbles and 2 white marbles. What is the probability of selecting a white marble and then a yellow marble?

Answers

Answer:

The bag contains 4 blue marbles, 3 green marbles, 7 red marbles, and 1 yellow marble. What is the probability of selecting a red marble and then a blue marble? Question 3 ... 4 blue marbles+ 3 green marbles+ 7 red marbles+ 1 yellow marble= 15 ... P(red,blue0 = 7/15 * 2/7 = 2/15 =.13333333 = 13.33%.

Step-by-step explanation:

Answer:

There are 14 total marbles. The probability of drawing a yellow marble on the first draw is 3/14. Given replacement, the probability on the second draw is the same as on the first draw, so the probability of a black marble on the second draw is 6/14. The probability of drawing first a yellow marble then a black marble is 3/14 * 6/14 = 18/196.

If you follow a similar approach by drawing a line through point C that is perpendicular to and using the associated defects for ∠A or ∠B instead of ∠C, what are the resulting equations? (Do not go through the complete derivation again, just think about the result you came up with in question 9 and what similar formulas for ∠A or ∠B would look like.)

Answers

Answer:

n

Step-by-step enxplanation:

n

Please Help File Is Attached

Answers

Answer:

x=25

10= 125

Step-by-step explanation:

2/50 is the answer to find 1

so 1= 25

and x means 1

to find 10 u multiply 25 with 10

hope i help its hard to explain but hope its well explained :)

Skdhauajbsshjzmxjakxjxdj I’m confused

Answers

30% is the answer goodfdbyeeeee

Answer:

60% i think

Step-by-step explanation:

About 35% of all U.S. households have a cellular phone. If you called 7 households to inquire if they have a cell phone.

To calculate this distribution, what would you set p equal to? p =
What would q be equal to? q =
What would n be equal to? n =​

Answers

Answer:

p = 0.35

q = 0.65

n = 7

Step-by-step explanation:

To calculate the distribution, we have the following values;

p = 35% = 35/100 = 0.35

q = 1-p = 1-0.35 = 0.65

n = 7

Answer:

p = 0.35

q = 0.65

n = 7

Step-by-step explanation:

What is the pattern here?
1, 3, 9, 27, 81, 243

Answers

Answer:

all number are multiply by 3 ( ×3)

plz follow me

Answer:

This sequence follows a geometric pattern

Step-by-step explanation:

1 x 3 = 3

3 x 3 = 9

3 x 27 = 81

and so on

2x+y=16 y=2x what are the side lengths of the triangle?

Answers

Answer:

x = 4. y=8

Step-by-step explanation:

putting y=2x in first equation

2x+2x=16

4x=16

x=4

put x=4 in eq second

y=2*4

y=8

A = (1,5)
C = (1.75, 2.5)
B = (?)
What are the coordinates of point Bin the diagram?

Answers

Answer:

I'm sorry I can't give you an answer until i see a picture of where the mark of B is.. could you try posting a picture as well an i can answer.

Step-by-step explanation:

Below is a set of data about temperatures. The range of a set of data is the distance between the lowest and highest value in the set. What is the range of these temperatures
9∘C

3∘C

22∘C

-5∘C

11∘C

15∘C

Answers

I get 27 degrees C!!!!!!!!!!

Hannah & Sal share 24 sweets.
5
1
Hannah gets - of them. Sal gets - of them.
NO
How many sweets do they each get?
24​

Answers

Answer:

Hannah = 20, Sal = 4

Step-by-step explanation:

Total number of sweets = 24

Ratio in which the sweets was shared;

Hannah : Sal = 5 : 1

Hannah gets:

Hannah = 5 / ( 5+1)  * 24 = 5/6  * 24 = 5 * 4 = 20

Sal gets:

Sal = 1 / ( 5+1)  * 24 = 1/6  * 24 = 1 * 4 = 4

Find the exact area of ABC

Answers

Answer:

A = 18[tex]\sqrt{3}[/tex] sq meters

Step-by-step explanation:

find BD, can use altitute rule:

3 / BD = BD / 9

BD² = 27

BD = [tex]\sqrt{27}[/tex] = 3[tex]\sqrt{3}[/tex]

Area of ΔABC = 1/2 · (3+9) · 3[tex]\sqrt{3}[/tex]

A = 6 · 3[tex]\sqrt{3}[/tex]

Put the numbers in order from smallest to largest.

1. fifth
4.9
2. third
5.0
3. sixth
3.6
4. first
3.1
5. fourth
4.2
6. second
4.5

Answers

In order of problems/numbers - 4, 3, 5, 6, 1, 2

Answer:

First - 3.1

Second - 3.6

Third - 4.2

Fourth - 4.5

Fifth - 4.9

Sixth - 5.0

Step-by-step explanation:

Hope it helped!

which expression is equivalent to

Answers

Answer:

answer of this question is

option b

6. If xy = 6 and x = 2, then x + y = ​

Answers

xy = 6
x = 2

2y = 6

y = 6÷2

y = 3

x + y = (2) + (3) = 5

10x + 4y = 20
13x - 4y = -66

What does x and y equal?

Answers

Answer: (-2, 10)

Explanation: Since one equation has a +4y and the other equation has

a -4y, when we add the equations together, the y's will cancel out.

So we have 23x = -46 and x = -2.

To find y, plug -2 back in for x in either of the two original equations.

I've chosen to plug -2 into the first equation to get 10(-2) + 4y = 20.

Solving from here, y = 10.

So our final answer is the ordered pair (-2, 10).

Now, check your answer.

x = -2
and
y = 10
because of how u solve it
Other Questions
Which of these nutrients helps muscles grow strong?AfatBironCcalciumDvitamin C what are the tips to write an essay? If a1 = 4 and an =- 4 an1 then find the value of a6. Mrs. Roberson has 5 more students in her class than Mr. Monroe. Together, they have 57 students. Write an equation that can be used to find the number of students in Mr. Monroes (m) class. Solve the equation. will give brainiest!Predict why you think J.A. Marriott said that famine had disappeared in India. Address the author's point ofview and how that affects his writing. What would scientists using classical, Newtonian physics expect to observeduring the photoelectric effect?A. That enough light of any frequency would cause electrons to flowO B. That light above a certain frequency would not cause electrons toflowO C. That no light would cause electrons to flowO D. That light below a certain frequency would not cause electrons toflow how did the islamic empire continue to flourish under the abbasids Why did President Hoover refuse demands for the federal government to provide direct payments to the unemployed and needy?A) believed that this would destroy people's incentive to workB) we had to help the needy in Africa and Central & South America firstC) people should help themselves first and then the government would help themD) federal government couldn't afford to help people What is the major difference between the intranet and extranet?Question 36 options:Intranets hold more importanceThe major difference between the two, however, is that an intranet is typically used internally.Extranets improve internal communicationsNone of the above how electronegativity relates to polar bonding A large store has a warehouse it uses for storage. Trucks back up to the loading dock where merchandise is unloaded, sorted, and stacked in the correct area of the warehouse. The large shelves in the storage area are 17 feet 8 inches apart so the forklift machines can operate between the shelves. Is that distance greater than or less than 216 inches? HELP ME PLSSS IM GIVING BRAINLIEST!!! Choisis la phrase qui est conjugee correctement au conditonnel.3. Ils auront vu le probleme.Il aurait vu le problemeIls verraient le problemeIl avait vu le probleme.4.Est-ce que la reine nous recoirrait.Est-ce que la reine nous recevraitEst-ce que la reine nous recevoiraitEst-ce que la reine nous recerrait How does dickens portray cruelty in a Christmas carol what are the coordinate of ABC after a dilation with center 0,0 and a scale factor of 3 solve 5kx+6=7kx for x Why does wind speed increase when air pressure decreases? how many ml in 0.006 EXPERT HELP: I'LL GIVE BRAINLIEST:Choose TWO statements helppppp pleaseeeee im giving 15 for this ;^;im in dire need for multiple questions. this is 2/5