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
kifflom [539]
3 years ago
14

What are all the exact solutions of 2 sin^2 x- sin x = 0

Mathematics
2 answers:
yulyashka [42]3 years ago
8 0
2sin^2 x - sinx = 0
add sinx to both sides

2sin^2 x = sinx
divide bot sides by sinx

2sinx = 1
divide both sides by 2

sinx = 1/2
inverse trig function

x = π/6
** but the sine function is harmonic and hits 1/2 every 2π from π/6

So the answer is..
x = π/6 + 2nπ

where n is an integer
alexandr1967 [171]3 years ago
7 0
Factor:

2sin^2x-sinx = 0

sinx(2sinx - 1) = 0

Therefore the solutions are when:

sin x = 0
And
sinx = 1/2

So sinx = 0
is true when x = 0 and pi  and all the angles coterminal with these points.  Thus, the answer is x = pi*n, (where n is some integer)

sinx = 1/2
is true when x = pi/6 and 5pi/6 and the angles coterminal with these points.
Thus, the answer is x = pi/6 + 2pi*n (where n is some integer)
and x = 5pi/6 + 2pi*n (where n is some integer)
You might be interested in
PLZZZ HELP ASAP THX ❤️<br><br> Picture above^^
alina1380 [7]

Answer:12

Step-by-step explanation:

8 0
3 years ago
70th term of 18,34,50
Shtirlitz [24]

Answer: 1122

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Cassie’s score in a card game is 4 points away from zero. If Juanita’s score is the opposite of Cassie’s and is a negative value
zysi [14]
-4 is juanitas score.
5 0
3 years ago
Read 2 more answers
Write seventy two thousand and thirty two ?
miv72 [106K]
In numbers, <span>seventy two thousand and thirty two is 72032</span>
8 0
2 years ago
A) Find a particular solution to y" + 2y = e^3 + x^3. b) Find the general solution.
Reptile [31]

Answer:

a.P.I=\frac{e^{3x}}{11}+\frac{1}{2}(x^3-3x)

b.G.S=C_1Cos \sqrt2 x+C_2 Sin\sqrt2 x+\frac{1}{11}e^{3x}+\frac{1}{2}(x^3-3x}

Step-by-step explanation:

We are given that a linear differential equation

y''+2y=e^{3x}+x^3

We have to find the particular solution

P.I=\frac{e^{3x}}{D^2+2}+\frac{x^3}{D^2+2}

P.I=\frac{e^{3x}}{3^2+2}+\frac{1}{2} x^3(1+\frac{D^2}{2})^{-2}

P.I=\frac{e^{3x}}{11}+\frac{1-2\frac{D^2}{4}+3\frac{D^4}{16}+...}{2}x^3

P.I=\frac{e^{3x}}{11}+\frac{x^3-2\frac{\cdot3\cdot 2x}{4}}{2}+0} (higher order terms can be neglected

P.I=\frac{e^{3x}}{11}+\frac{1}{2}(x^3-3x)

b.Characteristics equation

D^2+2=0

D=\pm\sqrt2 i

C.F=C_1cos \sqrt2x+C_2 sin\sqrt2 x

G.S=C.F+P.I

G.S=C_1Cos \sqrt2 x+C_2 Sin\sqrt2 x+\frac{1}{11}e^{3x}+\frac{1}{2}(x^3-3x)

3 0
3 years ago
Other questions:
  • Which of these statements correctly compares probeware (such as an electronic temperature probe) to traditional analog tools (su
    14·2 answers
  • The space inside a circle is the _ of the circle.
    13·2 answers
  • a student is running 5-km race. He runs 1km every 3 min. Select the function that describes his distance from the finish line x
    13·1 answer
  • A store uses a selling price of 125% of the cost of an item. If a pair of jeans has a sale price of $52.50, what does the store
    8·1 answer
  • When using the binomial formula, which of the following is a correct step in the expansion of (x+y)^4?
    10·1 answer
  • Y=-2x+8; D: -4,-2,0,2,4​
    15·1 answer
  • The computer teacher at a middle school spent $12,950 to buy a storage cart and 25 laptop computers. The total purchase is repre
    11·1 answer
  • Solve for X for the angle
    6·2 answers
  • Find the angle between the diagonal of a cube of side length 15 and the diagonal of one of its faces, so that the two diagonals
    11·1 answer
  • A land surveyor places two stakes 500 ft apart and locates the midpoint between the stakes. From the midpoint, he needs to place
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!