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8
volunteer
cosine X
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volunteer
is equal to, I'm sorry, we know that.
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volunteer
cosine
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volunteer
um let's just use X
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volunteer
is equal to sin.
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volunteer
X
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volunteer
90 I think.
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volunteer
or minus 90.
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volunteer
I think that's true
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volunteer
because that'd be sign X.
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volunteer
times cosine of 2.
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volunteer
minus
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volunteer
cosine X.
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volunteer
maybe.
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volunteer
I guess it's pie, I guess it's plus plus 90.
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volunteer
Does that help
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volunteer
I think it does cause then that would rewrite the arc sign
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volunteer
from cosine to sign.
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volunteer
of X + 90.
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volunteer
and then that will just become X + 90 or pie or 2 whatever.
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volunteer
DX
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volunteer
huh
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volunteer
Is it really that simple
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volunteer
I almost feel scared
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volunteer
1/2 X. oh, I'm sorry, it's it.
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volunteer
1/2 x 2 plus.
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volunteer
i over 2
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volunteer
X
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volunteer
C
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volunteer
that makes sense
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volunteer
Does that make sense what I just did
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volunteer
Can you see anything wrong? I can make it bigger.
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volunteer
It just kind of scribbles.
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student
no, I can see.
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student
gimme a min
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student
i can't understand this
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volunteer
Oh yeah, I'm sorry. I was trying to do the um
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volunteer
the summoned property. So sign, it's supposed to be signed.
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volunteer
um
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volunteer
A + B.
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volunteer
where I said A is X and B is night is pirate 2, it should be pirate 299.
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volunteer
To many scribbles. Let me try that again.
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volunteer
Sign.
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volunteer
I did X minus, I'll just use Pi too instead.
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volunteer
I couldn't remember what the shift was.
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volunteer
So I tried um
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volunteer
theta plus
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volunteer
Sine, cosine, cosign, sign.
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volunteer
So we sign
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volunteer
X cosine pi over 2.
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volunteer
plus.
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volunteer
cosine X sine i over 2, I ran in a room.
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volunteer
Yeah
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volunteer
There we go
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volunteer
And then cosiney 2 is 0, so you're just left with.
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volunteer
cosine X. Sorry, I was just trying to prove, um,
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volunteer
the relationship between
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volunteer
sine and Cosina.
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volunteer
And that um cosina and sinex are just face face shifted from each other.
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volunteer
Sorry, phase
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volunteer
You can't see that. Oh, I'm sorry. I keep forgetting you can't see that.
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volunteer
do this
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volunteer
Is that better
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volunteer
Uh I really wrote small. I'm sorry.
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student
oh okay, then you re write the equation?
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volunteer
Yeah, and then at the bottom, I just, I, once I once I proved that cosine x is equal to sin of x + i over 2, I keep saying 90 should be pi over 2.
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volunteer
Um, then I just substituted that back in for, you know, arc sign of sign, just canceled out.
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student
😦 it was this easy?
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volunteer
Yeah, I'm almost
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volunteer
I almost feel doubtful. It's OK if I look at the answers now?
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volunteer
Huh, that is the answer.
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volunteer
Though I got a negative somewhere wrong.
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volunteer
Let me, um.
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volunteer
Can you see it?
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student
yeah
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volunteer
So I got
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volunteer
I got the pie over 2 X, right? But I guess I got the negative
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volunteer
x or 2. Where did they get the negative?
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volunteer
Unless they did
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volunteer
I think they did um
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volunteer
sign of pie over 2 minus X.
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volunteer
cause then that would cancel out too.
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volunteer
But then I'd have to prove that cosine x is equal to sin of x, i over 2 minus X.
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student
i think sin(x+90) should be -cosx?
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volunteer
Is that right
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volunteer
Would it
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volunteer
do anything though? I feel like the negative should be within the phase shift.
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volunteer
It would make the whole
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volunteer
it would make the entire um
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volunteer
thing be negative rather than just one of the values being negative.
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student
oh no, that's wrong. you're right
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volunteer
Anyway, looking at your 19, did you get 10 squared? I don't remember if you got 10 squared.
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volunteer
You got seekin X
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volunteer
log tangent you get express log tangent. So you get the log tangent, right, but you're missing the one half
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volunteer
tangent square, which you got for sequent.
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volunteer
We got to double back to that.
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volunteer
Your work seems correct
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volunteer
Oh, sorry, let's get back to 21.
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volunteer
And let's prove 21.
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volunteer
Um
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