Given that sec0=-37/12, what is the value of cot0, for pi/2<0

Given That Sec0=-37/12, What Is The Value Of Cot0, For Pi/2&lt;0

Answers

Answer 1

Answer:

2nd option

Step-by-step explanation:

Using the identities

tan²θ + 1 = sec²θ

cotθ = [tex]\frac{1}{tan0}[/tex]

Given

secθ = - [tex]\frac{37}{12}[/tex] , then

tan²θ + 1 = (- [tex]\frac{37}{12}[/tex] )² = [tex]\frac{1369}{144}[/tex] ( subtract 1 from both sides )

tan²θ = [tex]\frac{1225}{144}[/tex] ( take the square root of both sides )

Since [tex]\frac{\pi }{2}[/tex] < θ < π and tanθ < 0 , then

tanθ = - [tex]\frac{35}{12}[/tex]

Then

cotθ = [tex]\frac{1}{-\frac{35}{12} }[/tex] = - [tex]\frac{12}{35}[/tex]


Related Questions

There are 312 fish at the aquarium in 3 different fish tanks. Each tank has the same number of fish. How many fish are in each tank? Write an equation to find the unknown. Then find the unknown.​

Answers

Answer:

[tex]312 \div 3 = x \\ x = \frac{312}{3} \\ x = \frac{104}{1} \\ x = 104 fish \: in \: each \: tank[/tex]

Josie is looking at buying a new phone for $800.If she does not want to pay the entire $800 she has the option of buying the phone for a $150 deposit and making 12 monthly payments of $75 each. If Josie chooses the payment plan what will be the percent increase on the original cost of the phone?

Answers

Answer:A 131.25%

Step-by-step explanation:

PLEASE HELP ILL GIVE MORE IF ITS RIGHT

Answers

Answer:

choice 3) area = 1188 in²

Step-by-step explanation:

area = 36 x 33 = 1188 in ²

Find the length of the third side. If necessary round the nearest tenth

Answers

Answer: 16.5

formula:

c^2 = a^2 + b^2

(a and b are the lines that form a right angle and c is the line that doesn’t)

a = 16

c = 23

Answer:

16.5

Step-by-step explanation:

a² + b² = c²

x² + 16² = 23²

x² + 256 = 529

x² = 273

x = √(273)

x = 16.52271164...

x ≈ 16.5

what is the general rule of the following geometric sequence

-4; -1; -1/4​

Answers

Answer:

Each of these numbers is divided by four to get the next number in the sequence, so the rule of this would be divide by 4.

Step-by-step explanation:

-4/4 is -1, -1/4 is -1/4 (negative one-fourth), and so on.

Profit, P(x), is the difference between revenue, R(x), and cost, C(x), so P(x) = R(x) - C(x). Which expression represents P(x), if R(x) = 2x^4 – 3x^3 + 2x – 1 and C(x) = x^4 – x^2 + 2x + 3?

Answers

Answer:

x^4-3x^3+x^2-4

Step-by-step explanation:

Given the following functions

R(x) = 2x^4 – 3x^3 + 2x – 1 and

C(x) = x^4 – x^2 + 2x + 3

We are to find the profit function P(x)

P(x) = R(x) - C(x)

P(x) = 2x^4 – 3x^3 + 2x – 1 - ( x^4 – x^2 + 2x + 3)

P(x) = 2x^4 – 3x^3 + 2x – 1 - x^4 + x^2 - 2x - 3

Collect the like terms

P(x) = 2x^4-x^4-3x^3+x^2+2x-2x-1-3

P(x) = x^4-3x^3+x^2+0-4

P(x) = x^4-3x^3+x^2-4

Hence the required profit function P(x) is x^4-3x^3+x^2-4

Answer:

x^4-3x^3+x^2-4

Step-by-step explanation:

John and Paul both run on the same track each morning. The ratio of the number of miles John runs to the number of miles Paul runs is 5:8.

Answers

Answer:

Step-by-step explanation:

For example,

Solution: Finding a unit rate

If we divide 150 by 20, we get the unit rate for the ratio, 150 minutes for every 20 miles.

150÷20=7.5

So the runner is running 7.5 minutes per mile. We can multiply this unit rate by the number of miles:

7.5 minutes mile × 6 miles = 45 minutes

Thus it will take her 45 minutes to run 6 miles at this pace.

If it takes her 45 minutes to run 6 miles, it will take her 45÷3=15 minutes to run 6÷3=2 miles at the same pace.

If it takes her 15 minutes to run 2 miles, it will take her 4×15=60 minutes to run 4×2=8 miles at the same pace. Since 60 minutes is 1 hour, she is running at a speed of 8 miles per hour.

We found her pace in minutes per miles in part (a).

how do you solve 5(-2x -3

Answers

Answer:

10x-15

Step-by-step explanation:

Step-by-step explanation:

-10x - 15

5 x -2x = -10x

5 x -3 = -15

Need help ASAP with 10

Answers

Answer: 1371.57 calories

Step-by-step explanation:

Plug 150 in for m.

Cube it to cancel out the cube root on the right side:

[tex]150^{3}[/tex] = 3375000

Find its 4th root to cancel out the exponent of 4 on the right side:

[tex]\sqrt[4]{3375000}[/tex] = 42.861

Now multiply by 32 to find r:

42.861 * 32 = 1371.57 calories

Which of the following is a degenerate circle?
O A. x++y2 = -1
O B. x+y=2
O c. x² + y2 = 1
O D. (x – 4)+ (x - 2)2 = 0

Answers

C. X2+y2=1 and there is your answer thins could be wrong and I am sorry if it is have a great day!

suppose the length of the pool in Example 1 is
3 times the width. How does the function that
represents the combined area of the pool and
the deck change?

Answers

do they have a picture which comes w it

Based on the lesson, identify the first operation needed to solve the following equation.

x/3 - 3 = 11

Answers

Answer:

The first operation is to add, and you are adding 3 to both sides of the equation to isolate the x.

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other. You are solving for the variable, x, when solving this equation.

Remember to do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

The first step is to add 3 to both sides of the equation:

(x/3) - 3 (+3) = 11 (+3)

(x/3) = 11 + 3

(x/3) = 14

The second step is to multiply 3 to both sides of the equation:

(x/3) * 3 = (14) * 3

x = 14 * 3

x = 42

42 would be your final answer.

~

Four laps around the track is equal to one mile. It takes Taylor 8 minutes to run 3 laps.
How many minutes would it take Taylor to run 6 miles?
A. 16 minutes
B. 36 minutes
C. 48 minutes
D. 64 minutes

Answers

Answer:

D

Step-by-step explanation:

8x60=480

480÷3=160

160x4=640

640 is 10 Minutes 40 Seconds

6 Miles is 24 Laps

640x6=3840

3840÷60=64

The Answer Will be 64 Minutes.

The line plot below shows the amount of water ( in gallons) students drank in a week. What is the difference in the lowest amount of water and the highest amount of water students drank

Answers

The difference in the lowest amount of water and the highest amount of water students drank is 1/2

How to determine the difference?

From the complete question (see attachment for line plot), we have:

Least = 1/8

Highest = 5/8

The difference is then calculated as:

Difference = Highest - Least

This gives

Difference = 5/8 - 1/8

Evaluate

Difference = 4/8

Simplify

Difference = 1/2

Hence, the difference in the lowest amount of water and the highest amount of water students drank is 1/2

Read more about line plots at:

https://brainly.com/question/15853311

#SPJ4

Can someone please help me with math. Pls don't take my points.

Answers

Answer:

0.09

0.16

0.35

0.65

0.19

0.56

Step-by-step explanation:

Can someone please help me :) ❗❗❗❗❗​

Answers

Answer:

the third option

Step-by-step explanation:

when X is negative f(x) is positive. and when f(x) is negative x is positive

Given m||n, find the value of x. (5x-23)° (7x-1)°​

Answers

Answer:

X=17

Step-by-step explanation:

5x-23+7x-1=180

12x=180+24

12x=204

x=17

what is 22% of 64.82

Answers

Answer:

14.2604

Step-by-step explanation:

this is because 22% as a decimal would be 0.22, and since this is out of 64.82, you have to multiply 0.22 by 68.82

\\

Hope this helps <33

Answer:

14.2604

Step-by-step explanation:

[tex]64.82*.22=14.2604[/tex]

A triangle has sides with lengths of 4 kilometers, 14 kilometers, and 16 kilometers. Is it a right triangle?

Answers

Answer:

Yes, it is

Hope this helped

Answer:

NO

Step-by-step explanation:

A right angle triangle will follow the PYTHAGORUS THEOREM. So the value found by adding the square of the two smaller sides should be same as the square of largest side.

Look at the net of square pyramid below l. What is the surface area?

Answers

Answer:

SA = 72 cm²

Step-by-step explanation:

SA = (side x side of square base ) + (0.5BH x 4)

SA = (4 x 4 ) + (0.5 x 4 x 4 x 7) = 16 + 56 = 72 cm²

8 zombies have been spotted just outside of Galveston, its population by 50% each day. Write an equation that represents this specific outbreak.

Answers

Answer: 2+2?

Step-by-step explanation: Yes

Can someone help me? What is the solution for x-2 > 15 ?
Thank you!

Answers

Answer: X=17

Step-by-step explanation:

Answer:

Any number above 17

18 works.

Step-by-step explanation:

18-2 = 16

16 > 15

> means the number on the left is greater.

Hope this helps.

In UVW, u=51 inches,v= 61 inches and w= 62 inches.find the measure of angle V to the nearest degree

Answers

Answer:

49degrees

Step-by-step explanation:

Using the cosine rule

u² = v²+w²-2vwcosU

Substitute the given values

51² = 61²+62²-2(61)(62)cosU

2601 = 3721+3844-7564 cosU

2601 = 7565-7564cosU

-7564cosU = 2601-7565

-7564cosU = -4964

CosU =-4964/-7564

CosU = 0.6563

U = arccos(0.6563)

U = 49degrees(to nearest degree)

PLS ANSWER! Dont put a link PLS ANSWER!!!!!!!!!!!

Answers

Answer:1) D 2) A 3)D and the last one is b

Step-by-step explanation:

Rewrite 3log(4) in the form log(c)

Answers

Step-by-step explanation:

this is the answer of this question

Answer:

log(64)

Step-by-step explanation:

3 log (4) = log (4^3) = log (64)

Hope this helps!

Tim has read 40% of a book. He has 42 more pages to finish. How many pages are there in the book?

Answers

Answer:

66 pages

Step-by-step explanation:

I think that is the answer hope it helps you.

Suppose quadrilateral ABCD is a square and the slope of BC is -n. What is the slope of AB?

Answers

Answer:

-p?

Step-by-step explanation:

?% of $10 = $9
What is the percentage

Answers

Answer:

90%

Step-by-step explanation:

there are 100 % if you multiplied 10 by 10 you get that 100 % so multiply 9 by 10 to get 90 and that is your answer

Answer:

$90%

Step-by-step explanation:

90/100 *10.

9*1

$9%

(-9)5 ∙ (-9)7
what's the answer

Answers

Answer:

2835

Step-by-step explanation:

-9×5= -45

-9×7= -63

-45×(-63)=2835

If AABC = APQR, then
AB =
Help please

Answers

Answer:

PQ should be the answer

Step-by-step explanation:

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