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
Readme [11.4K]
3 years ago
6

Find cot theta if 180° < theta < 270° and cos theta = - sqrt 3/2

Mathematics
1 answer:
avanturin [10]3 years ago
8 0

Answer:

cot theta = -√3

Step-by-step explanation:

we are given that  cos theta = - √3/2 within the range 180° < theta < 270° and

since cos theta = adj/hyp

adj = - √3

hyp = 2

Get the opposite using the pythagoras theorem

hyp^2 = opp^2 + adj^2

2² = opp² + (-√3)²

4 = opp² + 3

opp² = 4-3

opp² = 1

opp = 1

tan theta = opp/adj

tan theta = - 1/√3

Recall that cot theta = 1/tan theta

cot theta = 1/(-1/√3)

cot theta = -√3

You might be interested in
Which algebraic expression represents the phrase "two times the quantity of a number minus 12"? A. 2y - 12 B. 2(y -12) C. 2(y +
bazaltina [42]

Answer:

B

Step-by-step explanation:

Two times the quantity of a number minus 12.

Represent the number with the variable y.

The quantity of a number minus 12 is then: (y-12).

Two times this quantity is 2(y-12).

So the answer is 2(y-12), which is B.

5 0
3 years ago
Simplify the exponential expression. ( 1/5 ) 2 =
Ierofanga [76]

Answer:

Fraction form- 2/5

Decimal form- 0.4

Step-by-step explanation:

Distribute.

Have a good day!

7 0
3 years ago
Read 2 more answers
If total liabilities decreased by $60,000 and stockholders' equity increased by $20,000 during a period of time, then total asse
Lena [83]

Answer:

$40,000 decrease

Step-by-step explanation:

Change in total assets = Total Liabilities Decreased- StockHolders' equity increased

Change in total assets = 60000 - 20000

Change in total assets = $40,000 decrease

So, If total liabilities decreased by $60,000 and stockholders' equity increased by $20,000 during a period of time,<u><em>then the change in total assets will consist of a </em></u><u><em>decrease of $40,000 </em></u>

3 0
3 years ago
I just started the problem, but I'm a bit lost on what to do now.
borishaifa [10]
According to Greg himself (probably a master at pies) says perfect cherry pies have a ratio of 240 cherries to 3 pies. First, we need to divide 240 cherries by 3 pies to find out how many cherries are in one pie.

240 / 3 = 80

Then multiply by 9 to get your answer.

9 * 80 = 720
8 0
3 years ago
What is the minimum number of x intercepts that a polynomial of degree 11 can? have?
stiks02 [169]

The degree of the polynomial will tell you the max amount of zeros you will have. 11 in this case.

However you can also have 9,7,5,3,1 (keep subtracting by 2)

So the answer is 1.
7 0
3 years ago
Other questions:
  • 34xy
    7·2 answers
  • What are partial products of 1274x2=2548
    8·1 answer
  • What are the values of the trigonometric ratios for this triangle?
    9·2 answers
  • Complete the pattern and find the rule 74,65,56,47
    9·1 answer
  • Hanna stated that 11,760,825 people saw the Miami Heat play last season .christ wants to be sure he herd the number correctly .w
    5·1 answer
  • 3214 divided by 5 step by step will give brainliest
    10·2 answers
  • Please help it due rn ​
    5·1 answer
  • The growing interest in and use of the Internet have forced many companies into considering ways to sell their products on the W
    10·1 answer
  • HELP!!! answer quickly pls
    12·2 answers
  • Counterexamples and Logic Symbols HW
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!