1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ray Of Light [21]
3 years ago
5

If sin theta = 4/5 and theta is in quadrant 2, the value of cot theta is

Mathematics
2 answers:
trasher [3.6K]3 years ago
8 0

Answer:

Cot(theta) = - 0.75 or -3/4

Step-by-step explanation:

The hypotenuse is 5

The y value is 4

We need to find the corresponding x value.

x^2 + y^2 = z^2

X = ?

y = 4

z = 5

x^2 + 4^2 = 5^2

x^2 + 16 = 25

x^2 = 9

Now in this case, you are in quadrant 2, so the x value is - 3

sqrt(x^2) = sqrt(9)

x = - 3

The cot value is the adjacent (x value) / the opposite ( y ) value

Cot(theta) = -3/4

cot(theta) = -0.75

xenn [34]3 years ago
4 0

Answer:

cotθ = -3/4

Step-by-step explanation:

<u>Given:</u>

sinθ = 4/5

θ is in Quadrant II, so cosθ < 0

<u>Recall:</u>

cotθ = cosθ/sinθ

cos²θ + sin²θ = 1

<u>Determine cosθ:</u>

cosθ = -√(1-sin²θ) = -√(1-(4/5)²) = -√(1-16/25) = -√(9/25) = -3/5

<u />

<u>Determine cotθ:</u>

cotθ = cosθ/sinθ = (-3/5)/(4/5) = (-3/5)(5/4) = -15/20 = -3/4

You might be interested in
Define an operation ‘&amp;’ on the set of positive integers such that: 2 &amp; 1 = 5 3 &amp; 2 = 13 5 &amp; 3 = 34
Scilla [17]

Answer:What are the equivalence classes of the equivalence relations in Exercise 3? A binary relation defined on a set S is said to be equivalence relation if it is reflexive, symmetric and transitive. An equivalence relation defined on a set S, partition the set into disjoint equivalence classes

7 0
3 years ago
Last month you spent $20 on clothing. This month you spent 180% of what you spent last month. How much did you spend this month?
frutty [35]
Stan Han Jisung!!!!!He literally cute!!hdbdbdkkdjd

8 0
2 years ago
A factory employs over 3000 workers, of whom 30% are women. If the 15 members of the union executive committee were chosen from
ira [324]

Answer:

I think 4000 worker and I will be there at some point today and I

5 0
2 years ago
Find the measure of 46.<br> 46 = [?]<br> 24°<br> 46
weqwewe [10]

Answer:

Solution given:

<6+24=180[co- interior angle]

<6=180-24=156°

<6=156°

8 0
2 years ago
Read 2 more answers
Why would you even ask this ._.
oee [108]

Answer:

Ask something & it will be answered

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Stella's friends got her a skydiving lesson for her birthday. Her helicopter took off from the skydiving center, ascending in an
    13·1 answer
  • Question 1
    8·1 answer
  • Which of the following is the correct factored form of the given equation?
    5·2 answers
  • Alex needs to varnish the top And the bottom of a dozen rectangular wooden planks planks are 8 feet long and 3 feet wide each pi
    6·1 answer
  • Jenna and Richie go shopping at the mall to buy their mom a present they buy a scarf for $12.45 and a necklace for $35.65 their
    12·1 answer
  • Can someone answer these pls
    5·2 answers
  • A bucket is leaking.After 3hr the bucket has leaked 3/4 of an ounce.How many ounces per hour is the bucket leaking 3/4oz-3hr= 3/
    8·1 answer
  • I think this is my last one! Will give Brainliest! DUE TODAY!!!Will give everything good and will make smartest answer WITH WORK
    12·1 answer
  • Help me pls big points
    10·2 answers
  • Select all correct answers.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!