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
Eva8 [605]
4 years ago
5

Solve the equation on the interval [0,2pi) 2cos² θ/2 -3cosθ=0

Mathematics
1 answer:
Finger [1]4 years ago
6 0
To solve this problem, you first have to know the half angle identify of cosine.
cos(θ/2)=+/-√(1+cosθ)/2, so  cos² (θ/2)=(1+cosθ)/2, and 2cos² (θ/2)=1+cosθ

<span>2cos² (θ/2) -3cosθ=0
1+cos</span>θ-3cosθ=0
2cosθ=1
cosθ=1/2
θ=π/3, or (5/3)π

You might be interested in
Ken paid for $12 for two magazines. The cost of each magazine was a multiple of 3. What is Mare the possible prices of the magaz
Artist 52 [7]

Answer:

So the possibilities are

$12 and $ 0    ,    $9 and $ 3      , $6 and $6

Step-by-step explanation:

Given:

Total Magazines = 2

Price = $ 12

To Find:

Possible Prices of magazines = ?

Solution:

As it is given that Prices of magazines is multiples of 3

So

Multiples of 3 up till 12 are  

0, 3 , 6 , 9 , 12

Now

Total Price of magazine is $12

Now The possible prices of the magazines are

First Possibility:

If price of first magazine is $12 then second would be $0 (free)

First possible price $12 and $0

Second Possibility:

If price of first magazine is $9 then second would be $3

Second possible price $3 and $9

Third Possibility:

If price of first magazine is $6 then second would be $6

Third possible price $6 and $6

So the possibilities are

$12 and $ 0    ,    $9 and $ 3      , $6 and $6

8 0
3 years ago
What is the circumference of a circle with a diameter of 9 inches.
Dennis_Churaev [7]

Answer:

28.26 inches

Step-by-step explanation:

Given

diameter (d) = 9 inches

circumference (c)

= π d

= 3.14 * 9

= 28.26 inches

8 0
3 years ago
Fill in the table using this function rule.
inysia [295]

Answer:

1, 2.2, 5.5, 10.2.

Step-by-step explanation: these are simplified to the nearest tenth

5 0
4 years ago
Read 2 more answers
A boxed lunch costs $7.01 how much would 9 boxed lunches cost
vova2212 [387]

$63.09

She would have this amount

4 0
3 years ago
Read 2 more answers
What is the sum of 5 to the fourth power and 3 to the second power​
EleoNora [17]

Answer:

634

Step-by-step explanation:

5^{4\\}=625

3²=9

625+9=634

4 0
3 years ago
Read 2 more answers
Other questions:
  • Find the unit rate with the second given unit in the denominator<br><br> 4600 words in 60 min
    6·1 answer
  • A.<br> 18<br><br><br> B.<br> 36<br><br><br> C.<br> 72<br><br><br> D.<br><br><br> 216
    13·2 answers
  • Which of the following expressions is equivalent to the expression below ?
    9·1 answer
  • Pls help asap
    6·1 answer
  • Help me please thank you
    6·2 answers
  • Jose and juan went running. jose ran 2 miles less than 1/2 as many miles as juan. jose ran 6 miles. how many miles did juan run?
    13·2 answers
  • Question 1 (2 points)<br> Find the slope and y-intercept for the graph below.<br> m<br> b
    9·1 answer
  • Mason has a full bag of chocolate candies. He takes out all 38 of the green ones, which is 20% of the total number of chocolate
    15·2 answers
  • Alec's password consists of 1 letter and 4 digits. What is the probability of correctly guessing Alec's password?
    10·2 answers
  • Please hurry up .......
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!