If cos(θ)= -2/3 and θ lies in quadrant II, find the value of cotθ

Answers

Answer 1

[tex]\text{Given that,}\\\\\cos \theta = - \dfrac 23\\\\\implies \cos^2 \theta = \dfrac 49\\\\\implies 1- \sin^2 \theta = \dfrac 49\\\\\implies \sin^2 \theta =1-\dfrac 49\\\\\implies \sin^2 \theta =\dfrac 59\\\\\\\text{Now,}\\\\\cot^2 \theta = \dfrac{\cos^2 \theta}{\sin^2 \theta} \\\\\\\implies \cot^2 \theta = \dfrac{\tfrac 49}{\tfrac 59}\\\\\\\implies \cot^2 \theta = \dfrac 49 \times \dfrac 95\\\\\\\implies \cot^2 \theta = \dfrac 45\\\\\\[/tex]

[tex]\implies \cot \theta = \pm\sqrt{\dfrac 45} = \pm \dfrac 2{\sqrt 5}\\\\\\\text{Since}~ \theta ~ \text{lies in the second quadrant,} \cot \theta ~\text{will be negative.}\\\\\text{Hence,}~ \cot \theta = - \dfrac{2}{\sqrt 5}[/tex]

Answer 2

Answer:

yysywywyyw7e7eueuuwuwuuwueu3u3


Related Questions

if 10 seeds are planted, what is the probability that exactly 3 don't grow?

Answers

Answer:

10:7

Step-by-step explanation:

take 10 as it is and it becomes 10

then,10-3 it is because when 3 don't grow it subtracts and becomes 7

plz help its taxes!!! just questions not real lol

Answers

Answer:

pay: 32,000*12 ( since its per month) =384,000

income tax: 384,000*0.45 = 172,800

EI: 384,000*0.0173=6,643.20

CPP: 384,000*0.0495=19,008

Yearly Pay will be 384,000-172,800-6,643.20-19,008= $185,584.80

Weekly pay (paycheck) = 42320.91/52 = $ 3,568.25

Step-by-step explanation:

After a power failure, the temperature in a freezer increased at an average rate of 3.5 °F per hour. The total
increase was 10.5 °F. Enter and solve an equation to find the number of hours until the power was
restored. Let x represent the number of hours it takes for the temperature to increase to 10.5 °F.

Answers

x=hours

7.5=2.5x

3=x

x=3

3 hours until the power was restored

Eva took a taxi from her house to the airport. The taxi company charged a pick-up fee of $4.10 plus $0.50 per mile. The total fare was $9.60, not including the tip. Write and solve an equation which can be used to determine mm, the number of miles in the taxi ride.

Answers

Here we must write and solve a linear equation to find the number of miles that Eva traveled in the taxi. We will find that Eva traveled 11 miles.

So we know that the taxi charges a fee of $4.10 and then a plus of $0.50 per mile.

So if you travel for m miles, the cost equation is:

C(m) = $4.10 + $0.50*m

Now, we know that for Eva the total fare (total cost) was $9.60, then we need to solve:

$9.60 = C(m) = $4.10 + $0.50*m

$9.60 = $4.10 + $0.50*m

$9.60 - $4.10 = $0.50*m

$5.50 = $0.50*m

$5.50/$0.50 = m = 11

This means that Eva traveled 11 miles in the taxi.

If you want to learn more about linear equations, you can read:

https://brainly.com/question/19045223

Answer:

11

Step-by-step explanation:

Answer this question.

You get a thank you and 5 stars if it's the correct answer.

Answers

Answer:

w = 5, x = 7, y = 6, z = 12

Step-by-step explanation:

Evaluate each row by solving the corresponding equation, that is

row 1

4w = 20 ( divide both sides by 4 )

w = 5

row 2

2w + 2x = 24 ( substitute w = 5 )

2(5) + 2x = 24

10 + 2x = 24 ( subtract 10 from both sides )

2x = 14 ( divide both sides by 2 )

x = 7

row 3

w + 2x + y = 25 , that is

5 + 2(7) + y = 25

5 + 14 + y = 25

19 + y = 25 ( subtract 19 from both sides )

y = 6

row 4

w + x + y + z = 30 , that is

5 + 7 + 6 + z = 30

18 + z = 30 ( subtract 18 from both sides )

z = 12

PLS HELP ASAP ILL GIVE BRAINLKEST THANKS

Answers

Answer:

y = 5/6 x

Step-by-step explanation:

rise/run = slope

rise = 5

run = 6

so, 5/6 = slope

Someone helppp pls due in 5 min
I will thank

Answers

Angel 3 is adjacent to Angel 4 therefore they are equal.

Help a sis out ??
Write a function rule for the area of a triangle whose height is 4 in, more than twice the length
of its base. What is the area of the triangle when the length of its base is 16 in.?
A. A = 262 + b
C. A = 262 + b
A = 144 in?
A = 528 in.
B. A = b2 + 2b
A = 288 in
D. A = 262 + 4b
A = 576 in
O
D
B.
C
SES

Answers

Answer:

B

Step-by-step explanation:

let base be b then height h = 2b + 4

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height ) , then

A = [tex]\frac{1}{2}[/tex] b(2b + 4) ← distribute parenthesis

A = b² + 2b

When b = 16 , then

A = 16² + 2(16) = 256 + 32 = 288 in²

please help due any minute

Answers

Answer:

A the system has no solution

Step-by-step explanation:

Simplifying 2x + -5y = -8

Solving 2x + -5y = -8

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '5y' to each side of the equation. 2x + -5y + 5y = -8 + 5y

Combine like terms: -5y + 5y = 0 2x + 0 = -8 + 5y 2x = -8 + 5y

Divide each side by '2'. x = -4 + 2.5y Simplifying x = -4 + 2.5y

Solution for 2x-5=12 equation:

2x - 5 = 12

2x = 12 + 5

2x = 17 (divide both sides by 2 to get x)

2x/2 = 17/2

x = 8.5

Two shops, Waitroze and Budgins sell the same brand of cans of soup but with different offers.
Calculate the price for 24 tins at each shop.
Waitroze = 8 for £3.35
Budgins = 6 for £2.89

Answers

Answer:

24 cans at Waitrose would be £10.05.

24 cans at Budgins would be £11.56.

Step-by-step explanation:

Times the waitrose offer by 3

Times the budgins offer by 4

Hope that helped. x

Calculate the distance between the points M=(-1, -2) and C=(-9, 2) in the coordinate plane.
Round your answer to the nearest hundredth.

Answers

Answer:

nearest hundredth 8.944

Step-by-step explanation:

d = √((x2-x1)2 + (y2-y1)2)

Step by step procedure:

Find the difference between coordinates:

(x2-x1) = (-9 - -1) = -8

(y2-y1) = (2 - -2) = 4

Square the results and sum them up:

(-8)2 + (4)2 = 64 + 16 = 80

Now Find the square root and that's your result:

Exact solution: √80 = 4√5

Approximate solution: 8.944

**QUESTION**
Which of the statements about the y-axis are true?

**STATEMENTS**
I. The y-axis is a vertical number line that passes through the origin.
II. The y-axis intersects the x-axis at the point (0 , 0).
III. The y-axis is the first coordinate in an ordered pair that describes the vertical distance from the origin.
IV. The y-axis is a horizontal number line that passes through the origin.

**OPTIONS**
I and II
B.
I only
C.
IV only
D.
II and IV

Answers

Answer:

I.

II.

One and two are the correct ones

Step-by-step explanation:

Y goes up and down

X is side to side

so

x comes first in an ordered pair.

(I remember that by saying, "You need to find the room before you can ride the elevator)

Consider a parallelogram with vertices at (0, 3), (2, 0), (4, 2), and (2, 5).
2) Suppose the parallelogram is reflected over the x-axis, which vertex of the parallelogram will have the same coordinate before and after the reflection?
A) (0, 3)
B) (2, 0)
C) (2, 5)
D) (4, 2)

Answers

Answer:

B

Step-by-step explanation:

So a reflection over the x is a change in the y value.

Only point (2,0) is on the x-axis, so it will not move.

Which graph best represents the solution to this system of inequalities?

A.
B.
C.
D.

Answers

Answer:

letter A po

Step-by-step explanation:

thanks for brain less

HELP. GIVING BRAINLIST. BRAINLIST. DONT MESS AROUND PLEASE IM DESPERATE.

Answers

Answer:

make me brain list

thank u

Step-by-step explanation:

A piece of timber is
x
cm long.
How long would 3 pieces of timber be put together in a line?

Answers

Answer:

3x cm long.

Step-by-step explanation:

If one piece is x cm

and there are 3 together, presumeabley the same length

then you'd just need to multiply the length 3 times, therefore 3x respresents multiplying x 3 times.

Have a good day!

Answer:

3x cm long

Step-by-step explanation:

3 times x is 3x

numbers in order from least to greatest?

35%, 3/5, 0.27, 2/7

Answers

Answer:

0.27, 2/7, 35%, 3/5

Step-by-step explanation:

Does (2, –2) make the equation y = –2x + –2 true?

Answers

Answer: no it doesn’t because -2 doesn’t equal to -6

Step-by-step explanation:

all you have to do is plug 2 for x value and -2 for y

-2= -2(2)+ -2

so -2= -4+ -2 and -4+ -2 is -6

therefor -2 doesn’t equal to -6

Question 7 of 15 Which is an equation of the line through (0,0) and (5,-2)? O A. y = 3 B. y = ja c. y = - 30 D. y=- Y​

Answers

Answer:

b po sana po maka tulong

Step-by-step explanation:

pa brainliest po

Factorize 81xsquared+180x+100

Answers

Answer:

81x²+180x+1009x²+180x+10²using (a+b)²=a²+b²+2ab9x²+2(9x)(10)+10²(9x+2)²=(9x+2)(9x+2)

How do I solve this

Answers

D is the correct answer

A swim team with 41 members decided to buy T-shirts that cost $15.75 each. 3. ___
What was the cost of the 41 T-shirts?

Answers

Answer:

The total cost would be $645.75

Explanation:

Multiply $15.75 by 3
41

please help finals study guide​

Answers

I
Dont seee any picture

Jane wrote all natural numbers from 5 to 12. including 5 and 12.
how many numbers did Jane write?
PLS ANSWER FAST

Answers

Answer:

5, 6, 7, 8, 9, 10, 11 and 12 are the natural numbers between 5 and 12 including them, therefore Jane wrote 8 numbers. natural numbers start at positive 1 and go up by whole numbers infinitely, hope this helps

A rectangular poster is 3 times as long as it is wide. A rectangular banner is 5 times as long
the banner and the poster have perimeters 24 inches. What are the lengths and of widths of the poster and the banner?

Answers

Rectangular Poster:

Length = 9

Width = 3

Rectangular Banner:

Length = 10

Width = 2

Hope this is helpful!

Can someone please help?

Answers

Answer:

Well a midpoint makes the cutter segment or Line in exactly in half. So the two lines cutted are equal. In this case t is the midpoint. PT and TQ are equal. So you have two expressions, make then equal to each other since they are congruent.

6x+4=8x-8

12=2x

x=6

Now PT is 6x+4

So we subsitute x for 6 since x=6

6*6+4

40

PT is 40

A baseball team won about 62% of 162 games in a season.
About how many games did they win?

Answers

Answer:

the one about 100 games

Step-by-step explanation:

62 percent *162 =

(62:100)*162 =

(62*162):100 =

10044:100 = 100.44

this rounds to 100

Answer:

About 100 games

Step-by-step explanation:

162 * 0.62 = 100.4

100.4 rounded is 100

Pls help with question 3 and below

Answers

Step-by-step explanation:

now find the area of triangle and add with the area of square and subtract with the area of circle

hope it will help you

If -11 + N = -11, then N is the
a. additive identity
b. additive inverse
c. multiplicative inverse
d. multiplicative identity

Answers

Answer:

Step-by-step explanation:

eeuduehuheuhd  hbu h

Sarah is buying gifts for her friends. She is purchasing phone cases and chargers. The phone cases cost $25 and the charges cost $30. She

plans on spending no more than $100 and wants to buy at least 4 gifts. Which inequalities would be used to model this situation?

Answers

Answer:

Step-by-step explanation:

Let P be the number of phone cases and C the number of chargers.

p($25) + C($30) ≤ $100

and

P + C ≥ 4

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