If csctheta=11/4 & tan Thea< 0 Use the fundamental identities to evaluate cottheta.

Answers

Answer 1

Answer:

[tex]\cot{\theta} = -\frac{\sqrt{105}}{11}[/tex]

Step-by-step explanation:

Fundamental identities:

These following trigonometric identities are used to solve this question:

[tex]\sin^{2}{\theta}+\cos^{2}{\theta} = 1[/tex]

[tex]\csc{\theta} = \frac{1}{\sin{\theta}}[/tex]

[tex]\cot{\theta} = \frac{\cos{\theta}}{\sin{\theta}}[/tex]

With the cossecant, we can find the sine. So:

[tex]\csc{\theta} = \frac{1}{\sin{\theta}}[/tex]

[tex]\frac{11}{4} = \frac{1}{\sin{\theta}}[/tex]

[tex]11\sin{\theta} = 4[/tex]

[tex]\sin{\theta} = \frac{4}{11}[/tex]

With the sine, we find the cosine.

Since the tangent is negative, the cosine is negative. So

[tex]\sin^{2}{\theta}+\cos^{2}{\theta} = 1[/tex]

[tex](\frac{4}{11})^{2} + \cos^{2}{\theta} = 1[/tex]

[tex]\frac{16}{121} + \cos^{2}{\theta} = \frac{121}{121}[/tex]

[tex]\cos^{2}{\theta} = \frac{105}{121}[/tex]

[tex]\cos{\theta} = -\frac{\sqrt{105}}{11}[/tex]

Cotangent:

[tex]\cot{\theta} = \frac{\cos{\theta}}{\sin{\theta}}[/tex]

[tex]\cot{\theta} = \frac{-\frac{\sqrt{105}}{11}}{\frac{4}{11}}[/tex]

[tex]\cot{\theta} = -\frac{\sqrt{105}}{11}[/tex]


Related Questions

4 x 6 + 29 divided by 5 - 4

Answers

Answer:

25.8

Step-by-step explanation:

pls mark this as brainliest! thx hope this helped. :)

Answer:

The answer would be 25.8 or you can do 258

Step-by-step explanation:

14.87
+3.65
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Answers

14.87 + 3.65 = 18.52

Answer:

18.52

Step-by-step explanation:

14.87+3.65

14.87+3.65= 18.52

i will give brainlist of who ever knows this answer

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Answer:

The correct answer is B

Step-by-step explanation:

The answer is A:))))

please god help me solve this, i cant fail this assignment lol. i have learning disabilities- mostly with mathematics so please explain this in the most simple way possible like ur speaking to a 2 year old

Answers

Answer:

B) 5.7

Step-by-step explanation:

The area of a square is found by multiplying its sides. Since a square has perfectly equal side lengths, you know that the square root of the area is equal to the side lengths. The area is 33. The square root of 33 is roughly 5.7. Hope that helps!

15points

Which three side lengths best describe the triangle in the diagram?

A. 5 cm, 12 cm, and 13 cm
B. 5 cm, 10 cm, and 13 cm
C. 4 cm, 8 cm, and 12 cm
D. 7 cm, 12 cm, and 13 cm

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Answer:

the answer is A

Step-by-step explanation:

A cone has a radius of 6 inches and a Hight 11 inches what is the volume of the cone.

Answers

Answer:

about 414.69

Step-by-step explanation:

Use the equation πr^2(h /3)

r = radius

h = height

5 1/4 - 2 5/7 = and fraction model

Answers

Answer:

The answer for this question is 71/28

f(x) = x - 5; translation 7 units right

Answers

Answer:

f(x-7) =  x -12

Step-by-step explanation:

horizontal translation 7 units right: f(x-7)

f(x) = x - 5

f(x-7) = x-7 -5 = x -12

i need help pls help me

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Answer:

8

Step-by-step explanation:

please help me this is hard

Answers

Your answer would be x=-2

If you still have trouble solving these questions, use the website or app called Math-way!!

x-3=–5

answer:

subracting 3 from both sides (by rule ll)

= 3-(-5)=-2

now ,x=-2 (ans)


A gumball machine has 6 red gumballs, 3 green
gumballs, and 5 blue gumballs. What is the
probability that the next gumball that comes
out will be red?
A 1/14
B 1/3
C 3/7
D 3/4

Answers

Answer:

D 3/4

Step-by-step explanation:

;)

C 3/7. The total gum balls is 14.
P(red gum ball)= 6/14=3/7
6/14 can be simplified to 3/7 by dividing by 2. 6/2=3. 14/2=7.

P(red gum ball)=3/7

HELPPPPPPPP IM STUCK

Answers

Answer:

10 students

Step-by-step explanation:

The maximum weight ,w, an elevator can lift is 2,200 pounds. Which inequality represents the situation??

Answers

Answer:

W is less than or equal to 2200

Step-by-step explanation:

(I don't know how to do the less than or equal to symbol on the computer)

The inequality equation is w ≤ 2200 , where w is the maximum amount of weight in an elevator

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Let the maximum weight in an elevator be w

Now , the maximum weight an elevator can lift is given by = 2,200 pounds

So , the inequality relation is given by

w ≤ 2,200 pounds   be equation (1)

Therefore , the value of A is w ≤ 2,200

Hence , the inequality relation is w ≤ 2,200

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Help please with this

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Negative reciprocals of each other

What is the answer to: −12x−16≥32

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Answer:

hello there mate

Step-by-step explanation:

Answer:

x≤−4

Step-by-step explanation:

if you want me to explain how I got the answer reply yes

pls answer i will mark brainlist to best (COME ON DOWN TO THIS HOME TOWN) :)

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Answer:

24 divided by 6= 4

Step-by-step explanation:

U


PLEASE HELP ASAP WORTH A LOT OF MY GRADE

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Answer:

D

Step-by-step explanation:

Im almost positive its d because for triangles you multiply by radical two for when its 45 degrees then the side for the one part of the triangle would be 26 radical 2 multiplied by 39 to get 1397.243 then you double that to get d

Determine any data values that are missing from the table, assuming that the data represent a linear function.


a. 5
b. 9
c. 13
d. 11

Please select the best answer from the choices provided ​

Answers

D might be the right answer because you can multiply the values by 2 and add 7 to them and they all would equal so therefore, 11 is the correct answer.

f(x)=6x+4. Find the inverse of f(x).

Answers

Answer:

c

Step-by-step explanation:

f(x)=6x+4

y=6x+4

x=6y+4

6y=x-4

y=(x-4)/6

f^-1(x)=(x-4)/6

Answer is Option-C

How to find Inverse Function:

1. First, replace f(x) with y. This is done to make the rest of the process easier.

2. Replace every x with a y and replace every y with an x.

3. Solve the equation from Step 2 for y.

(Here), Given

f(x) = 6x + 4

Let's inverse function be y.

y = 6x + 4

First step is to switch the positions of x and y.

Inverse: x = 6y + 4

x - 4 = 6y

=> y = (1/6) * (x - 4)

Option-C

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On a coordinate plane, point Q is 0.5 units to the left and 1.25 units up. Point R is 1.25 units to the right and 0.5 units up. Point S is 0.25 units to the right and 0.25 units up. Point U is 0.25 units to the left and 0.25 units down. Point W is 0.5 units to the left and 1.25 units down. Point V is 0.5 units to the right and 1.25 units down. Which point is located at (–0.50, –1.25)? Point

Answers

Answer:

Point W

Step-by-step explanation:

Answer:

point W

Step-by-step explanation:

i did edge

Another way to find slope is with the slope formula (y2-y1/x2-x1 find the slope of (3,2) (7,4)

Answers

Answer: 2/4=1/2

Step-by-step explanation: 4-2=2. 7-3=4

Answer:

1/2

Step-by-step explanation:

4-2=2

7-3=4

2/4

will give brainlest
Solve the following equation.

-4.7=9/3.2

Answers

Answer:

4.7 (does not =) 2.8125

Step-by-step explanation:

Divide 9/3.2

A box of granola bars has a volume of 210 cubic centimeters.
Which of the following could be the dimensions of the box?
Choose all answers that apply:
A. 15 cm long, 2 cm wide, 7 cm high
B. 14 cm long, 3 cm wide, 7 cm high
C. 7 cm long, 3 cm wide, 10 cm high

Answers

Answer: the answer is A

Step-by-step explanation:

A! Hope this helps, stay safe!

So can someone just kinda do these

Answers

Answer:

1.) -5/4

2.) 2

3.) 7/3

4.) 4

5.) -6

6.) -1

7.) 5/3

8.) -4

9.) 2

Step-by-step explanation:

this is what i got i hope they are all right

slope formula: (y2 - y1) / (x2 - x1)

Ryan planted 1/6 of his garden with green peppers and 1/6 of his
garden with red peppers. He said that he planted 1/3 of his garden
with peppers. Draw a model and a number line to show that he is
correct.

Answers

Answer:1/6 plus 1/6 is 1/3

Step-by-step explanation:

The equation for line g can be written as y = x + 5. Parallel to line g is line h, which passes through the point (-6, -4). What is the equation of line h? SHOW WORK PLEASE​

Answers

Answer:

y=x+2

Step-by-step explanation:

we know the slopes have to be equal because the lines are parallel, so the slope is 1, or written as x. plug the point given, (-6,-4), and the slope, 1, into the y=mx+b equation to find the y-intercept. then solve. then put the slope and y-intercept together for the equation of line h.

y=mx+b, m=1, x=-6, y=-4

-4=(1)(-6)+b

-4=-6+b

2=b

y=x+2

Find the exact length of the third side.
41
9
what’s the other side

Answers

Step-by-step explanation:

[tex] {d}^{2} = {a}^{2} + {b}^{2} \\ 41 = 9 + {b}^{2} \\ {b}^{2} = 41 - 9 \\ {b}^{2} = 32 \\ b = \sqrt{32} \\ b = 5.66 \:[/tex]

Solve the system of equations:

x+y=5

-4x-2y=-8

Which point on the graph below is the solution to the system of linear equations?


A. W
B. X
C. Z
D. Y

Answers

Answer:

the correct answer would be Y! i took it!! make me most brainlessly please!!!

Step-by-step explanation:

HELP ASAP PLEASE :))))))


For what value of p is the expression (x - p)2 + 5 equivalent to the expression x2 – 14x + 54?
A. -49
B. -7
C. 7
D. 49

Answers

Answer:

p=−12x2+8x+−492

is what I got

The value of p must be 7 for the expression (x - p)2 + 5 equivalent to the expression x2 – 14x + 54.

What are equivalent expressions?

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.

It is given that the expression (x - p)2 + 5 equivalent to the expression x2 – 14x + 54

That is (x - p)^2 + 5 = x^2 – 14x + 54

Solving for p;

x^2 + p^2 + 5 - 2px =  x^2 – 14x + 54

Combine the like terms;

p^2 + 5 - 2px =– 14x + 54

p^2 - 2px + 14x - 49 = 0

If we put p = 7 then

49 - 14x + 14x - 49 = 0

Therefore, the value of p must be 7 for the expression (x - p)2 + 5 equivalent to the expression x2 – 14x + 54.

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I GIVEEE BRAINLILSTT

Answers

(0,10) (5,10) (-5,-10)

Answer:

htrhtfgntymy67n

Step-by-step explanation:

jrtyk,k5m7tk,kmm tyjtykmnty rjjmn67ktyjkumuymjty

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