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
Annette [7]
3 years ago
8

How would you solve cos(5x)=sin(10x) ?

Mathematics
1 answer:
Tomtit [17]3 years ago
4 0
We will use double angle identities:
cos (5x ) = sin (10x )   
cos (5x ) = 2 cos (5x ) sin ( 5x )
cos ( 5 x) - 2 cos ( 5 x ) sin ( 5x ) = 0
cos ( 5 x ) · [ 1 - 2 sin (5 x) ] = 0
cos ( 5 x ) = 0                    or :       1 - 2 sin (5 x) = 0
5 x = π/2 +kπ,  k∈Z                        sin (5 x) = 1/2
x1 = π/10 + kπ/5                           5 x = π/6+2kπ    , k∈ Z
                                                       5 x = 5π/6 +2kπ , k∈ Z
                                                       x 2 = π/30 +2kπ/5
                                                       x 3 = π/9  + 2kπ/5
You might be interested in
7. The graph of part of linear function g is shown on the grid. Which inequality best represents the domain of the part shown?​
PSYCHO15rus [73]

Answer:

a

Step-by-step explanation:

Domain means the change in x.

so the domain will be which values of x the fn goes through.

you can see the black line goes from -9 to 2 in x values.

the -9 isn't filled in, but the 2 is. filled in means it will be with an equals instead of without.

so x is between -9 and 2, 2 is with equals -9 is without,

so the first one.

3 0
3 years ago
You make $5000 per morth. If you spend 50% on necessitles, 30% on stuff you want and 20% of it you end up saving, how much money
liubo4ka [24]

Answer:

$1000 per month

Step-by-step explanation:

5000 dollars is 100 percent so we put 5000 over 100

5000/100

then since we need to find 20 percent of something, we put x over 20

x/20

Then we cross multiply

<u>5000</u>      times       <u>x   </u>            

100                        20

so 100x = 100000

and x = 1000

Good luck, and hope I did this correctly

8 0
2 years ago
Read 2 more answers
Which is first X axis or Y axis?
Svetllana [295]

Answer:

You always do the X-axis first. Hope this helps! :)

<h3>CloutAnswers</h3>

5 0
3 years ago
Read 2 more answers
4. (10 points) From the given triangle:
katrin2010 [14]

Answer:

sinθ =  y/r        sinθ = \frac{-6}{10} = \frac{-3}{5}

cosθ =  x/r       cosθ = \frac{8}{10} = \frac{4}{5}

tanθ =  y/x       tanθ =  \frac{-6}{8} =\frac{-3}{4}

cscθ =  r/y       cscθ = \frac{-5}{3}

secθ =  r/x       secθ =  \frac{5}{4}

cotθ = x/y       cotθ = \frac{4}{3}

explanation:

r = \sqrt{(8)^{2}+(-6)^{2}  }

r = 10

x = 8

y = -6

r = \sqrt{(4)^{2}+(3)^{2}  }

r = 5

x = 4

y = 3

7 0
3 years ago
4. În triunghiul dreptunghic ABC, m(
Pachacha [2.7K]
Write the question correctly please
3 0
3 years ago
Other questions:
  • Given: g ∥ h and ∠2 ≅ ∠3
    14·2 answers
  • For the data set below, find the 30th percentile.
    15·1 answer
  • Dale works at a mattress store, and makes a salary plus commission. He has a $500 weekly salary and makes a 5% commission for sa
    8·1 answer
  • Which figure is a diameter of F?
    9·2 answers
  • 50 students in 4 buses. how many is in each bus
    11·1 answer
  • A.coffee machine dispenses 8-ounce cups of coffee automatically. The amount of coffee may vary by 3%. Wat are the least and grea
    12·1 answer
  • What is the solution set of the equation 3x2 = 48 ?​
    7·1 answer
  • Plot the four points on the number line below <br> -1/3 1 2/3 2/3 1 1/3
    6·1 answer
  • (20 POINTS)which equation best matches the model of the sum of the fraction​
    13·1 answer
  • In April 2015 in the US, there was one birth every 8 seconds, one death every 12 seconds, and one new international migrant ever
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!