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

What is 1.939 x 10^5 in standard form?

Answers

Answer:

193900

Step-by-step explanation:

thx for points

Polly has 2 1/2 cups of cereal. How many 3/4 cup full servings can she make? Will she have any cereal left?

Answers

Answer:

She can make 3 cups of it with 1/3 of a cup leftover.

Step-by-step explanation:

2 1/2 = 5/2

5/2 ÷ 3/4

5/2 · 4/3

10/3

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Stacy saved some dimes. Leo saved 3 times as many dimes as Stacy. If Leo saved a total of 72 dimes, how many dimes did Stacy save? Let n represent the number of dimes that Stacy saved.

Answers

Answer:

Leo: 3n Dimes

Leo: 72 Dimes

Stacy: 72/3 Dimes

Stacy: 24 Dimes

Two numbers have a sum of - 6 and a product of 9.
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n2 - 6n + 9 = 0

Answers

Answer:

3, 3

Step-by-step explanation:

[tex]n^2 - 6n + 9 = 0 \\ n^2 - 3n - 3n+ 9 = 0 \\ n(n - 3) - 3(n - 3) = 0 \\ (n - 3)(n - 3) = 0 \\ n - 3 = 0, \: \: n - 3 = 0 \\ n = 3, \: \: n = 3[/tex]

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how do you write 6.72x10^4 power in standard form

Answers

Answer:

It would be 67200.

Step-by-step explanation:

You just have to move the decimal point 4 times to the right.

Hope this helped you out!!

bella wants to know what the students at her school think of her show? Which is the best group survey to find information

Answers

Answer:

bar graph, this needs to be a lil longer but the answer is bar graph

Step-by-step explanation:

trust me man

The correct option is,

⇒ get a list of students at her school from the office and use a random number generator to pick 30 of them.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Bella want to know what the students at her school think of her show. which is the BEST group to survey to find this information

Now, For getting accurate results she must select a random sample without bias

For this option a will not serve since she selects only students she recognizes.

Hence, Option B may not be right, as during show on the face they may not give correct opinion

And, Option C is right as a random sample is taken

And, Option D is wrong as the first 30 students may not be at random.

Thus, The correct option is,

⇒ get a list of students at her school from the office and use a random number generator to pick 30 of them.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ3

A sculptor is planning to make two triangular prisms out of steel. The sculptor will use △ABC for the bases of one prism and △DEF for the bases of the other prism.

(a)Is △ABC similar to △DEF? Explain.
(b)Suppose the sculptor makes both prisms with the same height. Which prism will have a greater volume? How many times greater? SHOW YOUR WORK FOR BRAINLIEST!!

Answers

Answer:

a)

Verify is the corresponding sides have same ratio:

AB / DE = 50/60 = 5/6 BC / EF = 20/24 = 5/6

Since the ratios are same, the triangles are similar

b)

If one dimension is same, the base areas will make difference by the square of the scale factor:

(6/5)² = 1.44 times

What is the answer to my question? No links please. Urgent.

Answers

Answer:

57cm^3

i belive this is right.

53cm to the 3rd power

If y=x+2 then what is the slope and the y intercept?

Answers

Answer:

y-intercept is (0, 2) and the slope is 1

Can someone help me solve this

Answers

Answer:

BC=15.01

Step-by-step explanation:

tan(65) = x/7

x = 7 x tan(65)

x = 15.01

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Answers

Answer:

About $19.06

Step-by-step explanation:

25% of 23.98 is 5.995

23.98-5.995=17.985

6% of 17.985 is 1.0791

17.985+1.0791 is 19.0641,

which is $19.06

Brainliest?

Another volume question and dw it’s not a test its just a assignment that just stress me out

Answers

Answer:

volume = 337.2 ft³

Step-by-step explanation:

volume = base x height = 84.3 x 4 = 337.2 ft³

I am thinking of a number. If you add 3 to the number and then multiply the sum by four, you end up with 48. What is my number?

Answers

Answer:

9

Step-by-step explanation:

48 / 4 = 12

12 - 3 = 9

Check Work

9 + 3 = 12

12 * 4 = 48

A number cube is rolled 60 times. The results of those 60 trials are recorded in the table. Complete the table.



Answers

A= 1/5

B= 2/15

i took the test

Answer:

A= 1/5

B= 2/15

Step-by-step explanation:

Of 570 people, 365 were male and 368 had brown hair. Of those with brown hair, 108 were female. What is the probability that a person was male or had brown hair? Write your answer as a reduced fraction.

Answers

Answer:

473/570

Step-by-step explanation:

No. of male = 365

No. of female = 570-365 = 205

No. of male with brown hair = 260

No. of female with brown hair = 108

the probability that a person was male or had brown hair = 365/570+108/570 = 473/570 [ for or case we add probabilities]

Answer:

Around 83%        473/ 570

Step-by-step explanation:

365 males  + 108 females with brown hair = 473

Divide the number of outcomes desired by the total  number of outcomes 473/570   = 0.829824....... = 82.98.....%

What are the answers to these?

Answers

A=10
B=-12
C=3.6



I need to make the answer 20 letters so here’s a cookie

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

A the distribution will be skewed to the right
Answer: A







Ndndnjcxbcn

Someone please help me

Answers

Answer:

Option 3 or Option 4.

Step-by-step explanation:

I have this doubt because actually, a rhombus with a right angle (one) is not necessarily a square. Some rhombuses have one right angle and are still not squares. Now, if the four angles are right, it is a square, but this only says one.

On other hand, a parallelogram with congruent diagonals isn't a square necessarily either. Rectangles have congruent diagonals and are parallelograms.

In case you only can answer with one, I'll say is option 3, hope it helps!

 

PLEASE HELP THIS IS URGENT!!!!

Answers

Answer:

I believe it would be 21 units . dont let extra line's confuse you just pay attention to the letters its asking for

Evaculate the following using the rules for special products
1) 507 x 493

Answers

Answer:

249,951

Step-by-step explanation:

I used standard algorithm. I'm not sure how to explain this digitally to you.

I hope this helped.

Joe has seven boxes of markers
and each box has eight markers.
How many markers doe she have
altogether?

Answers

it’s will be 8 x 7 which is 56

Answer:

[tex]56[/tex]

Step-by-step explanation:

[tex]7[/tex]×[tex]8[/tex][tex]=56[/tex]

is the sequence below is arithmetic {1, 8, 27,64}

Answers

Answer:

No

Step-by-step explanation:

No, because 8 - 1 ≠ 27 - 8. So, there is no common difference which is needed in order for the sequence to be arithmetic

Tamu ran 30 minutes and burned 170 calories. PART A: Which equations can be used to find the average number of calories, c, burned per minute?

Answers

Answer:

170 divided by 30 or calories divided by minutes

Step-by-step explanation:

the answer could be either but they both mean the same thing just in different words

help with this please!,

Answers

Answer:

-6

Step-by-step explanation:

g(-4) here x = -4

So, we have to take g(x) = x - 2

g(-4) = -4 -2 = - 6

g(1) , here x = 1 ,

So, we have to take g(a)= -x +1

g(-1) = -1 + 1 = 0

g(-4) + g(-1) = -6 +0 = -6

Sophie's current balance in her checking account is $125.89. What is the final balance after the above transactions were completed?

$

Answers

Answer:

i cant give you a step by step answer but all you do is subtract

Step-by-step explanation:

The jogging track is 5/9 of a mile long. If Ashley jogged around it 4 times, how far did she run? A.4/9 B.20/9 C.9/4 D. 4 5/9

Answers

Answer:

I think it's B

Answer:

track is 5/9 of a mile long.....she jogged around it 4 times

Step-by-step explanation:

so Ashley ran ( 5/9 * 4) = 20/9 miles <==

An equilateral triangle has an altitude length of 33 feet. Determine the length of a side of the triangle.

Answers

Answer:

38.11 feet

Step-by-step explanation:

all three corners of an equilateral triangle are 60°

sin 60° = 33/x

0.8660 =33/x

x = 38.11 feet

Relation between the side and the altitude of the equilateral triangle can be given as,

[tex]a=\dfrac{2}{\sqrt{3} } h[/tex]

The length of the side of the equilateral triangle is 38.105 feet.

What is equilateral triangle?

When all the three sides and all the three angle of a triangle are equal, then the triangle is known as Equilateral triangle.  

Relation between the side and the altitude of the equilateral triangle can be given as,

[tex]a=\dfrac{2}{\sqrt{3} } h[/tex]

Here, [tex]a[/tex] is the side of the equilateral triangle and h is the altitude of the equilateral triangle

Given information-

Altitude of the equilateral triangle is 33 feet.

Put the value of altitude in above formula to find the length of the side of the equilateral triangle. Thus,

[tex]a=\dfrac{2}{\sqrt{3} } \times33\\a=38.105[/tex]

Thus the length of the side of the equilateral triangle is 38.105 feet.

Learn more about the equilateral triangle here;

https://brainly.com/question/17264112

Alan used 9 as a estimate for 3 7/10+5 4/10 He added and got 9 1/10 for the actual sum.Is Alan answer reasonable?

Answers

3 7/10 + 5 4/10 = 8 11/10 = 9 1/10

so estimate = 9

actual answer = 9 1/10

yes, his answer is reasonable

brainliest or a thank you please :)) <33

what is aproxamently the answer to 5 pi

Answers

Answer:

It turns into the decimal: 15.70796...

Step-by-step explanation:

How many ounces are in 38 pounds?

Answers

Answer: There are 608 ounces in 38 pounds.

Answer: 608

Step-by-step explanation:

ther are 16 ounces in 1 pound so 16 x 38=608

i checked with my teacher she said its right.

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