Another identity problem...

Another Identity Problem...

Answers

Answer 1

Answer:

cot(x)=-sqrt(3)/3

Step-by-step explanation:

I'm going to use the Pythagorean Identity sin^2(x)+cos^2(x)=1 to find the sine value since cotangent value is the cosine value over sine value.

Plug in:

sin^2(x)+(-1/2)^2=1

Simplify:

sin^2(x)+1/4=1

Subtract 1/4 on both sidea:

sin^2(x)=3/4

Square root both sides:

sin(x)=sqrt(3)/2. [Sine is positive since x is in 2nd quadrant]

cot(x)=(-1/2)/(sqrt(3)/2))

cot(x)=-1/sqrt(3)

Rationalize denominator by multiplying by sqrt(3)/sqrt(3):

cot(x)=-sqrt(3)/3

cot(x)=


Related Questions

What is the measure of S?

Answers

Answer:

Step-by-step explanation:

90+42 angle S=180 degree(being sum of interior angles of a triangle)

132 angle S=180

angle S=180-132

angle S=48 degree

please help fill in the blanks!!

Answers

Answer:

1. 69

2. 198

3. 50

use subtraction and addition

what is the value of -35•(5/7)?

Answers

Answer:

[tex] - 35{ \bold{.}}( \frac{5}{7} ) \\ = - \frac{175}{7} \\ = 25[/tex]

find the area of a circle with a diameter of 102 in

Answers

The area of a circle is the radius squared x pi.

Area = r^2 x pi

R is the radius which is half the diameter.

Diameter = 102 inches

Radius = 102/2 = 51 inches

Area = 51^2 x pi

Area = 2,601pi inches^2 ( in terms of pi) or

Area = 8,167.14 inches^2

Answer:

Area of circle is 8,167.14 cm ²

Step-by-step explanation:

We have

diameter of circle = 102 cm

And we need to find area of circle,

So the formula we using is

Area of circle = π ×r ²

Here,

R denotes for Radius

π denotes for pi.

For finding area of circle we need to find radius

here we have diameter of circle = 102 cm and

We know that ,diameter is the double of radius it means radius is the half of diameter

So, radius of circle = 102/2 = 51 cm

Now Solve it

Area of circle = π × ( r ) ²

Substitute the value

Area of circle = 3.14 × ( 51cm )² .. [ using π = 3.14 ]

Multiply the values

Area of circle = 3.14 × ( 51 cm × 51cm) ..[( 51 ) ²= 51 × 51]

Area of circle = 3.14 × 2,601 cm².

Therefore , Area of circle is 8,167.14 cm ²

hey i’ll give brainliest please help

Answers

Answer: B

Step-by-step explanation:

Answer:

We could not survive, without natural resourses we would die.

Step-by-step explanation:

HELP PLZZZ IF YOUR JUST SCROLLING HELP MEE ITS IT A OR B

Answers

Its not a multiple choice question. Its just a part A and B. All you have to do is read and do what it says lol

What is domain? What is domain?

Answers

Answer:

wait I don't understand is this suppose to be a definition, City, or anything?

Answer:

ARN

Step-by-step explanation:

1/2 divided by 2/3 =

Answers

3/4. Keep change flip. 1/2 x 3/2 = 3/4

i was arguing with this guy in dahood yesterday and he said "i f'd ur dog to death how that make u feel".​

Answers

Answer:

that something very disgusting to even say wdf

Step-by-step explanation:

HELPPPP Q24 &27......

Answers

Answer:

24. f'(2)=4

27. f'(2)=√2/4

Step-by-step explanation:

Sorry if I'm wrong

1856684474+734794678

Answers

This is 2591479152
…………

A bag contains 4 red, 2 blue, 6 green and 8 white marbles. What is the probability of selecting a green marble, replacing it, then selecting a red marble

Answers

Answer:

14.7%

Step-by-step explanation:

Being that there is 4 red, 2 blue, 6 green, 8 white, that means there is 20 marbles, with 8 success, 8/20. Since the marble is not replaced, that drops it to 7/19 for the second pull. Multiply these together and you get 14.7%.

(8/20)*(7/19)=.147

.147*100=14.7

Which table of values contains only points that lie on the line represented by this equation?​

Answers

Answer:

the answer is C .............

find the length of the diagonals of rectangle QRST

Answers

Answer:

11. 26

12. 111

Step-by-step explanation:

_____________

Answer:

11:

since diagonal are equal of rectangle

QS=RT

4x+6=6x-4

6+4=6x-4x

2x=10

x=10/2

x=5

now

diagonal :4x+6=4*5+6=26

12.

again

QS=RT

9x+12=11x-10

12+10=11x-9x

2x=22

x=11

now

diagonal=9*11+12=99+12=111

Alyssa takes part in the triathlon. She cycles 4/5 of the route, runs 7/8 of the route, and swims the rest of the way. She swims 0.9 miles. Find the total distance of the triathlon route.

Answers

Answer:

12 miles

Step-by-step explanation:

Alyssa takes part in the triathlon. She cycles 4/5 of the route, runs 1/8 of the route, and swims the rest of the way. She swims 0.9 miles. Find the total distance of the triathlon route.

Total distance Alyssa cycled and ran =

[tex]\frac{4}{5} + \frac{1}{8}[/tex]

[tex]\frac{32 + 5}{40}[/tex] = [tex]\frac{37}{40}[/tex]

Distance she swam =  1 - 37/40 = 3/40

3/40 of the distance is 0.9

the total distance = 40/3 x 0.9 = 12 miles

Evaluate: - 5 - 3 3/4 - 1/6 + 1/6 + 3 3/4 + 10

A 15

B 10 1/4

C 5

D -5 1/12

Answers

Answer:

the answer is c

Step-by-step explanation:


Yasmin swims at her local swimming pool.
She pays $4.65 each time she visits the pool.
Calculate the total amount of money she pays for 7 visits to the pool.

Answers

$31.50 because if she has to pay 4.65 and she went 7 times u have to multiply the two to get your answer

Which of the following could be the side lengths of a right triangle?

Answers

Answer:

I. 33,56,65

Step-by-step explanation:

____________

y=3x+1 on a table graph

Answers

Step-by-step explanation:

Use a Table of Values to Graph the Equation y =3x+1. y=3x+1 y = 3 x + 1. Substitute −2 - 2 for x x and find the result for y y . y=3(−2)+1 y

The diagonals of parallelogram JKLM below intersect at point (2, 5). If K is located at (8, 7), what are the coordinates of point M?


A (-4,3)

B (3,-4)

C (4,-3)

D (3,4)

Answers

Answer:

A (-4,3)

Step-by-step explanation:

THe formula for calculating midpoint is expressed as;

M(X, Y) = {(x1+x2/2), y1+y2/2}

Given

Midpoint = (2, 5)

K = (8, 7)

Required

Coordinate of M

X = x1+x2/2

2 = 8+x2/2

4 = 8+x2

x2 = 4-8

x2 = -4

Similarly;

Y = y1+y2/2

5 = 7+y2/2

10 = 7+y2

y2 = 10-7

y2 = 3

Hence the coordidates of M is at (-4,3)

cual es el resultado de esta ecuacion 8x+9=25

Answers

25? No entiendo perdón

Answer:

x=2

Step-by-step explanation:

Hope I helped and I hope you get it correct

PLEASEEEEEEEEE HELPPPPPPPPP PLEASEEEEEE IM BEGGING SOMEONE PLEASEEEEE

Answers

84848488ti

Step-by-step explanation:

................

Answer:

84848488 is the answer

A submarine, located at point S, was hidden at a secret place on a coordinate plane before it

moved to its current position. The movement of the submarine is described by the translation x,y→x+4,y-6.

Answers

Answer:

The submarine moves 4 units right and 6 units down to get to its current position

Step-by-step explanation:

Given

[tex](x,y) \to (x + 4, y - 6)[/tex]

Required

Describe the movement of the submarine from the initial to the current position

The rule of translation is as follows:

[tex]x \to x + a[/tex] --- This implies right translation by a units

[tex]y \to y -b[/tex] --- This implies down translation by b units

So, we have:

[tex]x \to x + a[/tex]

[tex]x \to x + 4[/tex]

By comparison;

[tex]a =4[/tex]

[tex]y \to y -b[/tex]

[tex]y \to y - 6[/tex]

By comparison:

[tex]b = 6[/tex]

Hence, the submarine moves 4 units right and 6 units down to get to its current position

Solve the system of equations.
y=9x+17
y=x+49

Answers

Answer:

y = 10x + 66

Step-by-step explanation:

I don't know if this is how you wanted me to do it, there was not enough information for me to conclude if this was the correct way to do it. but I added 9x + x and whenever there is a variable without a number in front of it the variable = 1x or whatever the variable is. So 9x + 1x= 10x and 17+49= 66 so put it together and you get y= 10x +66

Answer:

y-9x=17-----1

y-x. =49----2

2-1

y-x-(y-9x)=49-17

y-x-y+9x.= 32

8x =32

x=4

y=4+49

=53

x=4

y=53

PLEASE HELP ASAP ILL GIVE BRAINLIEST

Answers

Answer:

B the second answer is correct!!!!

Step-by-step explanation:

Hope This Helped

Let me know if its wrong or not but i 99.99% believe it's correct

ANSWER: B

EXPLANATION:
If a predator moves to the area and is feeding off the red fish because they are seen by their color, the prey will need to adapt to the new situation. Therefore, they must change to the whiter colors so they are less seen for the red. This is a form of prey adaptation.

Compute the mean score of these students The following data set are the quiz scores for 14 students. . 76,66,55,80,80,72,97,70,80,72,88,50,63,76

Answers

Answer:

73.214285714285714285714285714286 (or 73 rounded down)

Step-by-step explanation:

76, 66, 55, 80, 80, 72, 97, 70, 80, 72, 88, 50, 63, 76

76 + 66 + 55 + 80 + 80 + 72 + 97 + 70 + 80 + 72 + 88 + 50 + 63 + 76 = 1025

1025/14 = 73.214285714285714285714285714286

73.214285714285714285714285714286 ≅ 73

Answer:

73.2

Step-by-step explanation:

76+66+55+80+80+72+97+70+80+72+88+50+63+76 =1025

Mean = 1025/14

= 73.2

-3•2•a+5(-7b)+(12•c•4)

Answers

The answer is:
-6a + -35b + 48c

Please help If you know the answer!!

Answers

Answer:

-3 +8a

Step-by-step explanation:

(3-8a) *(-1)

Distribute

3*-1  -8a*-1

-3 +8a

Which set of models is equivalent to the expression 2 × 46?

Answers

Answer:

92

Step-by-step explanation:

Since 92 is the answer, we need to factor out 92

Ex: 1, 2, 4, 23, 46 and 92

1 x 92

4 x 23

Find the volume of the rectangular prism. 4.5 cm 2.5 cm 3 cm​

Answers

The volume of the rectangular prism is 33.75 cm^3

Answer:

33.75 [tex]cm^{2}[/tex]

Step-by-step explanation:

The formula for a rectangular prism is [tex]l*w*h[/tex] where l is the length, w is width, and h is height. So, to solve plug in the given sides to get, 2.5*3*4.5. This equals 33.75 [tex]cm^{2}[/tex].

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