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
Nataly [62]
3 years ago
10

Q-The general solution of inequality cos 2 x≤- sin x is

Mathematics
1 answer:
frozen [14]3 years ago
3 0

Answer:

x∈[2nπ−5π/6, 2nπ−π/6]∪{(4n+1)π/2}, n ϵ I

Step-by-step explanation:

1−2sin2  x≤−sin x    ⇒    (2sin x+1)(sin x−1)≥0

sin x≤−1/2    or    sin x≥1

−5π/6+2nπ≤x≤−π/6+2nπ    or    , n ϵ I x=(4n+1)π/2, n ϵ I⇒    -5π6+2nπ≤x≤-π6+2nπ    or    , n ϵ I x=4n+1π2, n ϵ I     (as sin x = 1 is valid only)

In general⇒    In general    x∈[2nπ−5π/6, 2nπ−π/6]∪{(4n+1)π/2}, n ϵ I

You might be interested in
find to consecutivephone number such that five times the smaller number plus 3 times the greater number make 59 hint let the num
Scorpion4ik [409]

Answer:

x = 7 is the answer for the smaller number

7 + 1 = 8 is the answer for the larger number

Step-by-step explanation:

LET x and  x+1 be the two numbers here, as your hint suggests.

5x + 3(x+1) = 59

5x + 3x+3 = 59

8x = 59-3

8x = 56

/8      /8

--------------------------

x = 56/8 ---> x = 7

x = 7 is the answer for the smaller number

7 + 1 = 8 is the answer for the larger number

Check:

5 * 7 + 3 * 8 = 59

35 + 24 = 59

59 = 59 CORRECT

7 0
3 years ago
Please help thank you
Shkiper50 [21]

Answer:

x = 0.25

Step-by-step explanation:

When logs are added together, they are actually multiplied and then the logs taken of the product.

That sentence is actually correct, but you are going to have to read it a couple of times. You might understand it if I actually just solve the problem.

ln(2x) + ln(2) = 0              Combine the two subjects to make 1 ln.

ln (2)(2x) = 0                    Now take the antilog

ln(4x) = 0

antilog ln(4x) = e^0         e^0 = 1

4x = 1                                See your last problem.

x = 1/4

Now the question is "What's the answer?" It might be 1/4 but I doubt it. A better choice would be x = 1/4 or x = 0.25

I'd try the last one first.

6 0
3 years ago
the square root of 4,356 is an integer. without a calculator , determine what the integer is by eliminating possibilities.
Zanzabum
It's more than 3600, so its greater than 60.
it's less than 4900, so its less than 70.
a no.'s root can end with six if the no. ends with 4 or 6.
so the no is either 64 or 66.
Now if it's 66, the square must be greater than sq of 65.
65 sq= 4225
the given no. is greater than sq of 65.
Therefore the number is 66.
5 0
3 years ago
Simplify<br> 9+2i<br> -------<br> 1-4i
kondor19780726 [428]
 1     38i
--- + ----
17    17
7 0
2 years ago
Connor has a bottle of blue glitter that is 7/8 full and a bottle of red glitter that is 1/3
bezimeni [28]

Answer:

13/24

Step-by-step explanation:

You subtract the 2 quantities

7/8 - 1/3

Lowest common denominator is 24

7/8 = 21/24

1/3 = 8/24

21/24 - 8/24= 13/24

Hope this helps, have a good day

8 0
2 years ago
Other questions:
  • Please help if your kind enough, this is due today I’ll mark u as brainliest &amp; rate u 5 stars
    15·1 answer
  • PLEASE HELP FAST!!!!!!!!!
    10·1 answer
  • A package of 48 party favors cost $6.15. What is the cost of 1 party favor is approximately
    15·1 answer
  • I will give you brainliest to whoever helps me answer this. Please hurry
    6·1 answer
  • Two common names for streets are Second Street and Main ​Street, with 15,969 streets bearing one of these names. There are 365 m
    8·1 answer
  • What is the GCF of 55 and 24
    14·1 answer
  • Follow the rule to find the next three numbers in pattern . describe the pattern using the terms even and odd. add 5: 1, 6, 11
    7·1 answer
  • Peter is plotting equivalent ratios on the coordinate plane. He has plotted these points. Equivalent Ratios If he plots a point
    11·2 answers
  • A CD usually sells for $17.00. If the CD is 20% off, and sales tax is 6%, what is the total price of the CD, including tax?
    12·1 answer
  • Write the pair of fractions as a pair of fractions with common denominators 2/12 and 4/6
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!