find the values of x in [0,360) which satisfy 2cot^2x=-3cscx

Answers

Answer 1

Answer:

The values of x is -30 degrees and undefined

None of these values fall within the given range

Thus, no value within the given range is the solution to the equation

Step-by-step explanation:

Here, we want to find the value of x that works for the equation in the selected range

2cot^2x = -3csc x

Mathematically, from trigonometry;

cot^2x = csc^2x - 1

Substitute this above

2(csc^2x - 1)= -3csc x

let csc x = b

2(b^2-1) = -3b

2b^2 - 2 + 3b = 0

2b^2 + 3b - 2 = 0

2b^2 + 4b - b - 2 = 0

2b(b+ 2) - 1( b + 2) = 0

(2b-1)(b + 2) = 0

2b = 1

b = -2

b = 1/2 = 0.5

or b = -2

Recall;

csc x = b

x = csc^-1 b

x = csc^-1 0.5

x = undefined

Secondly;

b = -2

x = csc^-1 (-2)

x = -30 degrees

As we can see , between the points

0 ≤ x < 360

None of our answers fall in these range


Related Questions

Help me solve this problem please

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Answer:

The second one .......

could anyone give me these answers!!

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Answer

5 and 6 are NOT functions but 4 IS a function

Step-by-step explanation:

A number cannot repeat in the x axis

4 is a function!!!!!!!!!!

If point N is the incenter of triangle HIJ, Angle KHN = 15*, Angle KIL = 66®, and Angle LJN = 27. What is the degree measure
of Angle KHM?

Answers

It looks like there aren't many great matches for your search

Pleaseeee helppp !!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Since triangle STU and TVW are similar angle VWT and SUW are equal, this means:
106-5x=7x-14
(106)+(14)=(7x)+(5x)
120=(12x)
10=(x)
Angle VWT=106-5x=106-(5)(10)=56

0,4.(7x+1,5y+6)=help​

Answers

Answer:

=(4)(7x+15y+6)

=(4)(7x)+(4)(15y)+(4)(6)

=28x+60y+24

The area of a metal frame being built by a construction company can be represented by the function A(w)=4w2+34w , where represents the width in meters of the frame. What is the area of the frame in square meters when the width equals 1 meter?

Answers

Answer:

38 square meters

Step-by-step explanation:

Given:

A(w)=4w²+34w

The function represent the area of a metal frame being built by a construction company

What is the area of the frame in square meters when the width equals 1 meter?

Find A(w) when w = 1 meter

A(w)=4w²+34w

A(1) = 4(1)² + 34(1)

= 4 + 34

= 38 square meters

A(1) = 38 square meters

A box of granola weighs 24 ounces and a box of bran flacks weighs 6/8 as much as the ronal A box of Corn Pops weighs 1 1/8 as much as the ronal what is the least number of ounces found in either box or ronal bran flakes or Corn Pops

Answers

Answer:

54 ounces

Step-by-step explanation:

A box of granola weighs 24 ounces and a box of bran flacks weighs 6/8 as much as the ronal

The number of ounces of the bran flakes = 6/8 of the box of the granola

= 6/8 × 24 ounces

= 18 ounces

A box of Corn Pops weighs 1 1/8 as much as the granola

Hence, the number of ounces of the box of corn pops =

1 1/8 of the granola box

= 9/8 × 24 ounces

= 27 ounces

The least number of ounces found in either box or ronal bran flakes or Corn Pops is calculated as:

We solve using LCM Method

Multiples of 18:

18, 36, 54, 72, 90

Multiples of 27:

27, 54, 81, 108

Therefore,

LCM(18, 27) = 54

The least number of ounces found in either box or ronal bran flakes or Corn Pops is 54 ounces

Lola's hockey team lost 15% of
their games this season. If they
lost 3 games, how many games
did they play in total?
(show your work)

Answers

Answer:

[tex]20[/tex]

Step-by-step explanation:

Let [tex]x[/tex] = games played in total

From the fact that [tex]15\%[/tex] of the games the team played is equivalent to [tex]3[/tex] games, we can write:

[tex]15\%x = 3[/tex]

[tex]x=3\div 15\%[/tex]

[tex]=20[/tex]

∴ Lola's hockey team played a total of 20 games.

Hope this helps :)

12
13
15
D
The length of side CD =
The length of side BC =
The length of side BD =

Answers

I need more information to answer this question.

please help i give 20 points and possibly brainliest to the right answer

Answers

Answer:

g(x): horizontal compression

h(x): vertical stretch

p(x): vertical compression

w(x): horizontal stretch

Step-by-step explanation:

g(x): horizontal compression

h(x): vertical stretch

p(x): vertical compression

w(x): horizontal stretch

If john ate 3 cheese burgers in in 30 minutes, how many would he eat in 1 hour if he kept the same pace.

Answers

6 burgers just do 3+3 and you get 6

Help..................​

Answers

Answer:

The answer is A

Step-by-step explanation:

There are opposite angles

help plz, I don't know how to find the answer

Answers

9514 1404 393

Answer:

  25

Step-by-step explanation:

As always, you identify the possible relationships between the given values. Make use of those to find the unknown. Then use that value as required to answer the question(s) posed.

The triangle is isosceles, so AB = AC.

  AB = AC

  4x +1 = 2x +23

  2x = 22 . . . . . . . . . subtract (2x+1)

  x = 11

With this value of x, we can find BC.

  BC = 3x -8

  BC = 3×11 -8

  BC = 25 . . . . units

Which of the following is NOT a part of a DNA molecule?

Question 3 options:

A.Nitrogen base


B.Phosphate group


C.5 Carbon sugar


D.Amino acid. Will give brainliest

Answers

Amino acids

Step-by-step explanation:

In a DNA molecule Your going to find what's called, Nucleotides, Nucleotides contain phosphate group, a sugar group, and a nitrogen base.

The answer is 33 but I don’t how to show the work so can someone help me pls :/

Answers

Answer:

Gather your like terms together

Step-by-step explanation:

(x+4x+x) = 6x

(-10-10+2) = -18

6x -18 = 180 (the sum of triangle angles)

Add 18 to both sides

6x = 198

divide 198 by 6

x = 33

A multi-step equation is an equation that requires more than ___step to solve it.

Answers

Answer:

more than 1 step?

Step-by-step explanation:

if there are multiple steps. then theirs more than 1

(a+2b)² ?????????????????????

Answers

Answer:

a² + 4ab + 4b²

Step-by-step explanation:

Given

(a + 2b)²

= (a + 2b)(a + 2b)

Each term in the second factor is multiplied by each term in the first factor, that is

a(a + 2b) + 2b(a + 2b) ← distribute both parenthesis

= a² + 2ab + 2ab + 4b² ← collect like terms

= a² + 4ab + 4b²

2/3 divided by 3/4
Please help

Answers

Hey,

[tex] \frac{2}{3} \div \frac{3}{4} = \frac{2}{3} . \frac{4}{3} = \frac{8}{9} [/tex]

`Sorry if it's wrong

Good luck :)

A right rectangular prism has a length of 3 1/3 a width of 2 1/2 and a height of 4 1/3 yards. What is the total volume

Answers

Answer:

The answer is 30 V=whl=3·2·5=30

Step-by-step explanation:

HELP PLZ CHECK MY ANSWER, PLZ DONT SPAM
look in the attachment below

Answers

Answer:

your answer is correct

it's A

and don't worry didn't spam ya

15 POINTS EACH WILL GIVE THANKS IF ITS CORRECT
PLEASE ANSWER FAST SINCE THIS WAS DUE LAST FRIDAY!
Select all of the following that are quadratic equations.

1. x2 + 3 x -5 = 0
2. x2 - x = 3 x + 7
3. 5 x - 7 = 0
4. 7 x2 + 14 x = 0
5. x3 - 3 x2 + 1 = 0
6. x - 5 = 9 x + 7

Answers

Step-by-step explanation:

The following are quadratic equations:

x² + 3x - 5 = 0,

x² - x = 3x + 7,

7x² + 14x = 0.

So tell me yáll real name

mines is Shakira

Answers

Answer:

My name is Melanie

Step-by-step explanation:

Answer:

Mine is Aday but pretty much everybody calls me Aya

Step-by-step explanation:

3/5(x+2)=x- 4 answer

Answers

Answer:

X=13

Step-by-step explanation:

Please help here’s 20 points

Answers

1, 2, and 5 are true.
There aren’t 20 points it’s actually 8

Let me ask this question again

Answers

Answer:

A

Step-by-step explanation:

Substitution with X= 9 and you receive that only 9 works in both equation

algbra two, i need help asap please

Answers

Answer:

(a) The zeroes of f(x) are rational numbers

(b) The smallest integer value of a is 3

Step-by-step explanation:

In the quadratic function f(x) = ax² + bx + c, we can know the number and the types of its roots using the discriminant  Δ, where Δ = b² - 4ac

If Δ > 0, then the zeroes are two different real numbersIf Δ = 0, then the zeroes are the same real numberIf Δ < 0, then the zeroes are imaginary numbers

Note: In the first case if Δ is a perfect square number then the zeroes are rational, if not then the zeroes are irrational

(a)

∵ The equation function is f(x) = ax² + 11x + 12

∵ a = 2

a = 2, b = 11 and c = 12

→ Substitute them in the rule of Δ

∵ Δ = (11)² - 4(2)(12) = 121 - 96

Δ = 25

∵ Δ > 0

∴ f(x) has two different real zeroes

25 is a perfect square number

→ That means the zeroes of the function are rational numbers

The zeroes of f(x) are rational numbers

(b)

∵ f(x) ha imaginary zeroes

→ By using the third rule above

Δ < 0

∵ a = a, b = 11 and c = 12

→ Substitute them in the rule of Δ

(11)² - 4(a)(12) < 0

∴ 121 - 48a < 0

→ Add 48a to both sides

∵ 121 - 48a + 48a < 0 + 48a

∴ 121 < 48a

→ Divide both sides by 48

∴ 2.52083 < a

a > 2.52083

∵ The smallest integer greater than 2.52083 is 3

The smallest integer value of a is 3

Find the real numbers x and y that make the equation true. (2 points)
-3 + yi = x + 6i

Answers

Answer:

x = - 3, y = 6

Step-by-step explanation:

For the 2 sides to be equal then the coefficients of the imaginary terms and the real terms must be equal.

Given

- 3 + yi = x + 6i , then

x = - 3 and y = 6

The population of town A increases from 1,346 to 1,500. In the same period, the population of town B increases from 1,546 to 1,800.

a. Find the percent of increase in population for town A and for town B.
b. Which town had the greater percent of increase?

Answers

a. you would do 1346/1500 to get 0.8973333333333. i you want to check that you can do 1346/0.8973333333333 and you would get 1500. I'm just going to round 0.8973333333333 down to 0.897. So for town B you would also do 1546/1800 which brings you to 0.858889  you can again do 1546/0.858889 but i found that 0.8588888888 gives you the most accurate answer. so rounding that down to 0.859

b. you can see that 0.897 is a larger percent that 0.859 so town a had a larger increase than b

I need help for all three! Thank you!

Answers

Answer:

3a. 0.415

b. 18.75

Step-by-step explanation:

3a. 2.49/6

=0.415

b. 150/8

=18.75

I haven’t studied on this at all I need help lol

Answers

Answer:

1. X,-1

2. X≥2

Step-by-step explanation:

This is right

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