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
A bag contains 5 red marbles, two orange marbles, one yellow marbles, and two green marbles. Two marbles are drawn from the bag.
Mandarinka [93]
Green marble- probability is 2 out of 10
orange-1 out of 10
5 0
2 years ago
Read 2 more answers
Hey I’m bored <br><br><br> 1 plus 1 is?
Natali5045456 [20]
Not 2 I think it’s a carrot
7 0
3 years ago
Read 2 more answers
I NEED HELP!!! PLZ HELP!!!!!!!!!
Digiron [165]

Answer:

30.06

Step-by-step explanation:

The question states WHAT DID THEY PAY BEFORE INSTALATION CHARGES.

So 30.06$

588.34-555.28=30.06

3 0
2 years ago
Heather's class took a field trip to the science museum. They left school at 7:30 A.M. It took
vodka [1.7K]

Answer:

10:30 A.M

Step-by-step explanation:

5 0
2 years ago
I have $3,800 in two accounts for one year. The first account earns a yearly interest of 3.5%. The second account earns a yearly
loris [4]

Answer:

-$1000

Step-by-step explanation:

(3800 - x)*3.5/100 = (3800 + x)*6/100

(3800 - x)7/200 = 3/50(3800 + x)

3800 - x = 12/7(3800 + x)

3800 - x = 45600/7 + 12x/7

(19x + 19000)/7 = 0

19x = -19000

x = -$1000.

The minus implies that the investment must occur in the first account, not the second. It wouldn't make sense to add more money into the second account, because the second account already exceeds the $188 interest with the amount it has in there. Therefore $1000 must be added from the second account and invested into the first.

3 0
3 years ago
Other questions:
  • Association - Suppose you were to collect data for each pair of variables. You want to make a scatterplot. Which variable would
    7·2 answers
  • Two cards are randomly selected from an ordinary playing deck.
    15·1 answer
  • The perimeter of a college athletic field is 96 meters and the length is 16 m more than the width. Find the length and width.
    7·1 answer
  • Trig, Coterminal angles... Which of the following are coterminal with -pi/4 ... (a) 7pi/4 (b)3pi/4 (c)-5pi/4) (d)-9pi/4 (e) pi/4
    7·1 answer
  • What is 643.072 rounded to the nearest tenth thank you for helping
    13·1 answer
  • Market-share-analysis company Net Applications monitors and reports on Internet browser usage. According to Net Applications, in
    11·1 answer
  • Solve for x Write the smaller solution first, and the larger solution second.
    12·1 answer
  • A landscaper buys 1 gallon of plant fertilizer. He uses 1/5 of the fertilizer, and then divides the rest into 3 smaller bottles.
    5·1 answer
  • 10. A triangular pyramid has a volume of 60 cubic centimeters. The
    13·1 answer
  • Jesse is traveling up and down a stream in a kayak. He can paddle the kayak at an average rate of 5 miles/hour, and the round-tr
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!