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
Roman55 [17]
2 years ago
10

Find all solutions of the equation in the interval [0, 2π). cotθ+ √3= 0

Mathematics
1 answer:
Ilia_Sergeevich [38]2 years ago
5 0

Answer:

  {5π/6, 11π/6}

Step-by-step explanation:

Since you have memorized the trig values of common angles, you know tan(π/6) = 1/√3, so cot(π/6) = √3.

The solution to this equation is ...

  cot(θ) = -√3

so θ = -π/6 or, in the domain of interest, 11π/6. There is a corresponding quadrant II angle, 5π/6.

You might be interested in
If a piece of ribbon is 6 and 1 over 4. feet long, how long is it in inches?
timama [110]
The piece of ribbon would be 75 inches. The ribbon would be 75 inches because 1 foot would be 12 inches and you would multiply 12 by 6 to get 72. Then, 1/4 of a foot would be 3 inches because you could divide 12 and 4(the denominator you are dealing with) to get 3. Then, add 72 + 3 to get 75. Hope this helps!
5 0
3 years ago
One sample has Aa Aa One sample has n 10 scores and a variance of s2 20, and a second sample has n 15 scores and a variance of s
siniylev [52]

Answer:

option (a) It will be closer to 30 than to 20

Step-by-step explanation:

Data provided in the question:

For sample 1:

n₁ = 10

variance, s₁² = 20

For sample 2:

n₂ = 15

variance, s₂² = 30

Now,

The pooled variance is calculated using the formula,

S^{2}_{p} = \frac{(n_{1}-1)\times s^{2}_{1} +(n_{2}-1)\times s^{2}_{2}}{n_{1}+n_{2}-2}

on substituting the given respective values, we get

S^{2}_{p} = \frac{(10-1)\times 20 +(15-1)\times 30}{10+15-2}

or

S^{2}_{p} = 26.0869

Hence,

the pooled variance will be closer to 30 than to 20

Therefore,

The correct answer is option (a) It will be closer to 30 than to 20

4 0
2 years ago
one leg of a right triangle has length 7. the lengths of the other two sides are whole numbers. the length of the other leg is ?
zalisa [80]
Sets of three integers that could be right triangles are called pythagorean triples. the only pythagorean triple including 7 is 7, 24, and 25. so the length of the other leg is 24 and the length of the hypotenuse is 25. hope this helped!
4 0
3 years ago
Read 2 more answers
Fun question: Which Disney character is your favorite?
Vlada [557]

Answer:

Belle is my fav.

Step-by-step explanation:

She loves to read books like me and I hate people who always go out there and try to impress me with something.

5 0
3 years ago
The table shows values for points on the graph of a linear function.
Anna [14]
(x2-x1)/(y2-y1)

(1+2)/(1-13)


3/-12


the slope of the graph is -1/4
8 0
3 years ago
Other questions:
  • List the numbers in order from least to greatest for 7-9.
    12·1 answer
  • If the lengths of an object are measured in feet, then the area of the object will be measured in which of the following units o
    11·2 answers
  • State whether the ratios form a proportion.
    8·1 answer
  • Please help! ...................
    7·1 answer
  • A truck is carrying grape juice,orange juice and apple juice in a ratio 3:6:1.if there are 15 grape juice how many orange juice
    5·1 answer
  • One machines value changed by -$6400 over 5 years. THe company charges off such changes in value as depreciation. Each year an e
    8·1 answer
  • Pat thinks of a number that is greater than 4 and less than 5.He doubles the number
    11·1 answer
  • Calculate the length of AD give your answer to three signifcant figures
    8·1 answer
  • SOMEBODY PLEASE HELP ME it’s due at 11:59
    7·1 answer
  • Tomic and Brooke make a game of shooting free throws. Each basket is worth 212 points. Each miss is worth −34 points. Out of 30
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!