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
DochEvi [55]
3 years ago
13

Solve the equation on the interval [0, 2pi) 2 cos^2 (theta/2) - 3 cos theta = 0

Mathematics
1 answer:
Ksivusya [100]3 years ago
3 0
Hello : 
by idetity : 1+cos(2a) = 2cos²(a)
let : a = <span>θ/2
1+cos(2×</span>θ/2)=2cos²(θ/2)
1+cos(θ) = 2cos²(θ/2)
solve :  2 cos^2 (θ/2) - 3 cos(θ) = 0   ......(1)
(1) : 1+cos(θ)-3 cos(θ) =0
2cos(θ)  = 1 

cos(θ) = 1/2
in : [0, 2π<span>[ 
</span>( θ = π/3) or (θ = 5π/3)
You might be interested in
8 biscuits cost 24p altogether.How much do 5 biscuits cost?
Mandarinka [93]
5 biscuits- 15 pounds.
Because if you divide 24 by 8 it equals out to 3, so 1 biscuit=3pounds so to find the answer I multiplied 5 by3 and got 15.
3 0
3 years ago
Read 2 more answers
How do you find three consecutive even integers with a sum of -84. Please help!
mote1985 [20]
3 consecutive even integers : x, x + 2, x + 4

x + (x + 2) + (x + 4) = -84.....combine like terms
3x + 6 = - 84.......subtract 6 from each side
3x = -84 - 6
3x = - 90...divide both sides by 3
x = -90/3
x = -30

x + 2 = -30 + 2 = -28
x + 4 = -30 + 4 = -26

so ur 3 numbers are : -26, -28, -30
6 0
3 years ago
Read 2 more answers
HELP! will mark BRAINILEST !
Sedbober [7]
I like A as the best one

420 = 100*price - (fixed costs)
220 = 60*price - (fixed costs)

If we subtract one from the other one, we get 200 = 40*price, price = 5
that said, fixed costs are 500 - 420 = 80

Now if we move -220 to the right in Answer A, we'll get:

y = 5x -300 + 220 = 5x - 80

So it looks like A describes the model best
6 0
3 years ago
An online photo services charge $20 to make a photo book with 16 pages each extra page cost a dollar 75 the cost to ship the com
Alisiya [41]

Answer:

The expression to determine the total cost in dollars is y=25+0.75x.

Step-by-step explanation:

Given:

Service charge to make a photo book = $20

Cost per extra page = $0.75

Cost to ship the complete photo book = $5

We need to write expression to determine the total cost in dollars.

Solution:

Let the number of extra pages be denoted by 'x'.

Also Let the Total cost be denoted by 'y'.

Now we can say that;

Total cost will be equal to sum of Service charge to make a photo book and  Cost per extra page multiplied by number of extra pages and Cost to ship the complete photo book.

framing in equation form we get;

y=20+0.75x+5\\\\y=25+0.75x

Hence the expression to determine the total cost in dollars is y=25+0.75x.

3 0
3 years ago
On the right side, give a reason to justify each step made on the left
cestrela7 [59]

Given that: step 1

3x+12=8x-18

step 2: subtract 3x both side

\begin{gathered} 3x+12-3x=8x-3x-18 \\ 12=5x-18 \end{gathered}

Step 3: Add 18 both side:

\begin{gathered} 12+18=5x-18+18 \\ 30=5x \end{gathered}

Step 4: divide both side by 5

\begin{gathered} \frac{30}{5}=\frac{5x}{5} \\ 6=x \end{gathered}

Step:6 The value of x is:

x=6

8 0
1 year ago
Other questions:
  • Find the slope of -1 / 3 + 3 / -2​
    11·1 answer
  • How do you solve for x when given |x+a| =b
    7·1 answer
  • What is the sum of the geometric series in which a1 = 7, r = 3, and an = 1,701?
    7·1 answer
  • The cost to rent a scooter in a busy metropolitan area is $25 plus $0.60 per mile. If Michael spent $43.20 to ride a scooter one
    12·1 answer
  • What is the domain and range of the exponential function?
    10·1 answer
  • Hey how are u do tobay
    8·2 answers
  • mr potters class has a test today for 1 1/2 hours. they have lunch at 11:40 what time should they start the test at
    12·2 answers
  • Paige works at a department store and has a commission rate of 3 percent. Her sales for the quarter were $4,596. If she earns $5
    5·1 answer
  • A pair of sneakers costs $60. Dahlia bought them on sale for $45. What is the percent decrease in the price of the sneakers?
    15·1 answer
  • What is the coefficient of the third term of the trinomial? (In other words, what is C?)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!