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
marusya05 [52]
3 years ago
10

Solve sin 0 + 1 = cos20 on the interval 0 ≤ 0 < 2pi. Show work please!

Mathematics
1 answer:
yan [13]3 years ago
7 0

Answer:

\theta=\frac{\pi}{2},\frac{3\pi}{2}\frac{2\pi}{3}\frac{4\pi}{3}

Step-by-step explanation:

You need 2 things in order to solve this equation:  a trig identity sheet and a unit circle.

You will find when you look on your trig identity sheet that

cos(2\theta)=1-2sin^2(\theta)

so we will make that replacement, getting everything in terms of sin:

sin(\theta)+1=1-2sin^2(\theta)

Now we will get everything on one side of the equals sign, set it equal to 0, and solve it:

2sin^2(\theta)+sin(\theta)=0

We can factor out the sin(theta), since it's common in both terms:

sin(\theta)(2sin(\theta)+1)=0

Because of the Zero Product Property, either

sin(\theta)=0 or

2sin(\theta)+1=0

Look at the unit circle and find which values of theta have a sin ratio of 0 in the interval from 0 to 2pi.  They are:

\theta=\frac{\pi}{2},\frac{3\pi}{2}

The next equation needs to first be solved for sin(theta):

2sin(\theta)+1=0 so

2sin(\theta)=-1 and

sin(\theta)=-\frac{1}{2}

Go back to your unit circle and find the values of theta where the sin is -1/2 in the interval.  They are:

\theta=\frac{2\pi}{3},\frac{4\pi}{3}

You might be interested in
The municipal swimming pool in Nicetown has three different ways of paying for individual open swimming. Todd is trying to decid
balandron [24]
Sllope intercept form is y=mx+b
m is the slope , b is the y itnercept

so early pay
cost=70 flat rate
x=infinity
the equation would be y=70

deposit pluss
you have to pay an initial one time payment of 15 so
y=mx+15
then 4 dollars per day
4 times number of days
y=4x+15

daily pay is 6 dollars per day so 6 times number of days
y=6x



1.
a. y=70
b. y=4x+15
c. y=4x
6 0
3 years ago
What is m∠B?<br><br>A.51<br><br>B..129<br><br>C.134<br><br>D.141
san4es73 [151]

Answer:

I think it 129 If not try 4

7 0
3 years ago
What is 9 more than y
Volgvan
9 more than y is an expression so it would be 9+y
6 0
3 years ago
A.2/7<br> B.3/7<br> C.5/7<br> D.4/7
Dafna1 [17]

Answer:

  • The C indicates the opposite of that
  • So it would be 4/7

3 0
3 years ago
Read 2 more answers
Spotlight Dance increased the number of dancers on its competition team. Last
Nana76 [90]

Answer:

80%

Step-by-step explanation:

To find percentage increase, we use the following formula:

Percentage Increase = \frac{New-Old}{Old}*100

Here

New means the latest value (which is 18 dancers)

Old means the previous value (which is 10 dancers)

The Multiplication by 100 is to convert the decimal answer to percentage.

So, we have:

New = 18

Old = 10

Now we substitute and find:

\frac{New-Old}{Old}*100\\\frac{18-10}{10}*100\\\frac{8}{10}*100\\80

So, there was an increase of 80%

3 0
3 years ago
Other questions:
  • What is the whole number equal to 18/3
    8·2 answers
  • Carrie spent
    12·1 answer
  • Rearrange the digit in 3,529.718 to make the largest number possible
    10·1 answer
  • This is one question. Algebra 2 transformations
    8·2 answers
  • Plz help with this question I will give brainliest answer
    9·1 answer
  • NEED HELP ASAP PLS
    10·1 answer
  • Please solve fast. I will give Brainleist or whatever it’s called
    7·1 answer
  • Find the perimeter of ABC​
    6·1 answer
  • Solve for v: w = v/r
    13·2 answers
  • The cost of a sweatshirt is 175% the cost of a T-shirt. A T-shirt costs $13.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!