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
olganol [36]
3 years ago
12

Sinx+sin3x=0 sin5x=-cos2x

Mathematics
1 answer:
Rasek [7]3 years ago
8 0

Answer:

We have, sinx+sin3x+sin5x=0

∴(sinx+sin5x)+sin3x=0

∴2sin(

2

x+5x

)cos(

2

5x−x

)+sin3x=0

∴2sin3xcos2x+sin3x=0

∴sin3x(2cos2x+1)=0

Either sin3x=0 or 2cos2x+1=0

i.e. sin3x=0 or cos2x=−

2

1

Now, cos2x=−cos

3

π

∴cos2x=cos(π−

3

π

)

∴cos2x=cos

3

2π

∴sin3x=0 or cos2x=cos

3

2π

3x=nπ,n∈Z or 2x=2mπ±

3

2π

where m∈Z

Hence, x=

3

nπ

or x=mπ±

3

π

, where n,m∈Z.

You might be interested in
Paul is making grey paint.
velikii [3]
Its quite simple. for every white bucket of paint he uses, he uses 3 buckets of black paint as well. so if he made 24 litres of grey paint then he would have had to use 24 buckets of white paint. but, this might be a trick question because its saying he made 24 "litres" but the unit it started with was "buckets" so it might be trying to trick you because we dont know how much paint is in one "bucket"
5 0
3 years ago
A drawer contains 6 blue socks, 8 white
sesenic [268]
You would most likely choose the purple one the answer is A and perimeter is 8
3 0
3 years ago
What is the volume of the cone?
Rudik [331]

Answer:

16pi cm^3

Step-by-step explanation:

v =( \pi \times  {r}^{2}  \times h)  \div 3

v= (pi ·4^2 ·3): 3= 16pi

4 0
3 years ago
In a cookie mix, we find spice cookies, snickerdoodle cookies, and no-bake cookies in a ratio of 3:3:5. If a bag of the mix cont
mixas84 [53]

Answer:

see the explaination

Step-by-step explanation:

let x be 3:3:5

3x:3x:5x

3x is splice cookies

3x is snickerdoodle cookies

5x is no bake cookies

where 5x is equal to 45

x is equal to 45÷5=9

so x is equal to 9

now,

3x = 3×9=27

3x = 3×9=27

5x = 45 (given)

now add all, total cookies =27+27+45

=99 cookies

so there are total 99 cookies in a cookie mix

5 0
3 years ago
If f(n)=5n what is the value of f(4)
LUCKY_DIMON [66]
20 the answer is 20 because you plug in 4 for n.
3 0
4 years ago
Read 2 more answers
Other questions:
  • -0.2×-5/7<br><br>please can i have some help
    7·1 answer
  • This problem is only for smart kids, all people who dont do it r babies
    13·1 answer
  • Find the coordinates for the midpoint of the segment with endpoints given.
    9·1 answer
  • The Board of Directors of PFE declares to pay a dividend of $0.39 on
    13·1 answer
  • In the triangle below, what is the length of BC ?<br> need help?!
    6·1 answer
  • Katie blows up a balloon and ties it so there is a fixed amount of air in the balloon.
    15·1 answer
  • I WILL GIVE BRAINLIEST
    12·2 answers
  • It is used to represent the product
    10·1 answer
  • I NEED HELP WITH TRIGONOMETRY !!
    9·1 answer
  • alex rents a car for one day. the charge is $18 plus $0.12 per mile. alex wants to spend exactly $30. how many miles can he driv
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!