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PolarNik [594]
3 years ago
11

Find all solutions to the equation in the interval [0, 2π). cos 2x - cos x = 0

Mathematics
2 answers:
IRISSAK [1]3 years ago
6 0

Answer:

The other answer is correct here except it is missing the answer 4pi/3

other wise its correct. The answers are 0, 2pi/3, and 4pi/3

Step-by-step explanation:

see previous answer

Jlenok [28]3 years ago
4 0
This is the concept of algebra, to solve the expression we proceed as follows;
cos 2x-cosx=0
cos 2x=cosx
but:
cos 2x+1=2(cos^2x)
thereore;
from:
cos 2x=cos x
adding 1 on both sides we get:
cos 2x+1=cos x+1
2(cos^2x)=cosx+1
suppose;
cos x=a
thus;
2a^2=a+1
a^2-1/2a-1/2=0
solving the above quadratic we get:
a=-0.5 and a=1
when a=-0.5
cosx=-0.5
x=120=2/3π
when x=1
cos x=1
x=0
the answer is:
x=0 or x=2/3π

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Which equation represents the line that passes through the points (6,-3) and (-4,-9)?
Citrus2011 [14]
I will give in y=mx+b and ax+by=c form

using point slope form
y-y1=m(x-x1)
where the slope is m and a point on that line is (x1,y1)

slope between 2 points (x1,y1) and (x2,y2) is (y2-y1)/(x1-x1)

given
(6,-3) and (-4,-9)
slope=(-9-(-3))/(-4-6)=(-9+3)/(-10)=-6/-10=3/5
a point is (6,-3)

y-(-3)=3/5(x-6)
y+3=3/5(x-6)
y+3=3/5x-18/5
y=3/5x-33/5
-3/5x+y=-33/5
3x-5y=33


equation is
y=3/5x-33 or
3x-5y=33 or
y+3=3/5(x-6) or
y+9=3/5(x+4)
7 0
3 years ago
Find the 22nd term of the arithmetic sequence whose common difference is d=5 and whose first term is a,=4.
Mars2501 [29]

Answer:

109 is the 22nd term

Step-by-step explanation:

7 0
2 years ago
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Irina18 [472]

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Step-by-step explanation:

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3 years ago
A gallon of gas costs an average of two dollars is Betty spends $144 a month on gas determine how many gallons of gas she uses a
lukranit [14]

Answer:

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Step-by-step explanation:

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Construct a perpendicular to t through A<br> A
Inga [223]

The perpendicular line to line t is drawn below.

The two-line in which the angle between these two lines is 90° i.e. both are right angle to each other then two lines are perpendicular to each other.

Here the given point is point A.

and the line given is line t

we have to draw a line that should be perpendicular to line t.

Let that perpendicular line cut the line t at the point O.

OA ⊥ t

∠AOt= 90°

From above we can draw the line OA which is perpendicular to line t.

The picture is drawn below.

Learn more about the perpendicular lines

here: brainly.com/question/1202004

#SPJ10

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2 years ago
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