Mathematics
14 Online
zarkam21:
.
7 years ago
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zarkam21:
7 years ago
zarkam21:
@Vocaloid
7 years ago
zarkam21:
A and c
7 years ago
Vocaloid:
are the statements at the end supposed to be equal signs?
sin^2(x) + cos^2(x) = 1?
7 years ago
zarkam21:
oh yes
7 years ago
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zarkam21:
=1
7 years ago
Vocaloid:
then yes, I agree
7 years ago
zarkam21:
just a and c?
7 years ago
Vocaloid:
yes
7 years ago
zarkam21:
7 years ago
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zarkam21:
A and C
7 years ago
zarkam21:
D
7 years ago
Vocaloid:
there should only be two solutions
solving for cos^2(2x) gives us
cos(2x) = 1/2
then figure out what angles on the UC give a cos value of 1/2 then divide the results by 2
7 years ago
zarkam21:
c and d
7 years ago
Vocaloid:
good
7 years ago
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Vocaloid:
wait a minute i forgot to consider the -1/2 solutions ugh
7 years ago
zarkam21:
its ok
7 years ago
zarkam21:
7 years ago
zarkam21:
C
7 years ago
Vocaloid:
good
7 years ago
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zarkam21:
7 years ago
zarkam21:
B
7 years ago
zarkam21:
C
7 years ago
zarkam21:
you there :)
7 years ago
Vocaloid:
still working on the calculations
I don't think pi/4 is a solution
using the sin difference rule I get
sin(3x-x) = 0 can you try solving this for x
7 years ago
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zarkam21:
pi/2
7 years ago
zarkam21:
x=pi?
7 years ago
Vocaloid:
good
and there's only one choice that includes both pi/2 and pi, which one is it?
7 years ago
zarkam21:
a
7 years ago
zarkam21:
actually b?
7 years ago
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Vocaloid:
note: we stated earlier that pi/4 is not a solution
7 years ago
zarkam21:
so a
7 years ago
Vocaloid:
good
7 years ago
zarkam21:
.
7 years ago
zarkam21:
a
7 years ago
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Vocaloid:
almost, 3pi/4 + 2pi*k is only one of the solutions;
solving for 2cos(x) + sqrt(2) = 0 gives cos(x) = -sqrt(2)/2 and there's one more value on the UC where cos(x) = -sqrt(2)/2
7 years ago
zarkam21:
d
7 years ago
zarkam21:
no b
7 years ago
zarkam21:
right
7 years ago
Vocaloid:
well, is it 5pi/4 or 7pi/4 where cos(x) = -sqrt(2)/2?
7 years ago
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zarkam21:
d
7 years ago
Vocaloid:
good, D
7 years ago
zarkam21:
its 5pi/4
7 years ago
zarkam21:
7 years ago
zarkam21:
A and c
7 years ago
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Vocaloid:
almost
if you want to multiply the r-value by -1 you have to add pi to the angle not 2pi
7 years ago
zarkam21:
d
7 years ago
zarkam21:
so a and d
7 years ago
Vocaloid:
good, A+D
7 years ago
zarkam21:
7 years ago
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zarkam21:
C
7 years ago
Vocaloid:
a= 200 and b = 134?
7 years ago
zarkam21:
yes side a and b
7 years ago
Vocaloid:
angle B cannot be 141.92 degres because angle A is already 113 degrees
7 years ago
Vocaloid:
it would make the sum of the triangle > 180
7 years ago
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zarkam21:
so a
7 years ago
Vocaloid:
good
7 years ago
zarkam21:
7 years ago
Vocaloid:
got to go to lunch pretty soon but you would just use law of cosines
7 years ago
zarkam21:
ok
7 years ago
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zarkam21:
b^2 right
7 years ago
zarkam21:
7.39?
7 years ago