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OpenStudy (aravindg):
AEQEL HELP
OpenStudy (anonymous):
Secant and Cosecant are the inverse of the trignometric functions.
So, [sin(Theta)]^-1 - [cosine(Theta)]^-1 = 4/3
Inverse both sides you get:
sin(theta) - cos(theta) = 3/4
I think..
OpenStudy (aravindg):
SO???
OpenStudy (anonymous):
Do you wish to solve for theta?
OpenStudy (aravindg):
ya
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OpenStudy (anonymous):
I'm sure there's a trig identity for this... Let me check my notes.
OpenStudy (aravindg):
:)
OpenStudy (aravindg):
U GUD AT trigonometry??
OpenStudy (anonymous):
lol who knows?
OpenStudy (anonymous):
I can't find my books! ><
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OpenStudy (aravindg):
oops
OpenStudy (anonymous):
I did this like 2 years ago..
OpenStudy (aravindg):
thn here is another one
OpenStudy (aravindg):
ax/cos theta)+(by/sin theta)=a^2-b^2 and (axsin theta/cos^2 theta)-(bycos theta/sin^2 theta)=0
show that (ax)^2/3 +(by)^2/3=(a^2-b^2)^2/3
OpenStudy (anonymous):
apparently the correct answer is
\[2\pi-\tan^{-1}(2-\sqrt{7})\]or
\[2\pi-\tan^{-1}(2+\sqrt{7})\]
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OpenStudy (aravindg):
how???
OpenStudy (anonymous):
these problems are for the birds
OpenStudy (aravindg):
how u got it?/?
OpenStudy (anonymous):
where do they come from?
OpenStudy (aravindg):
aeqel help plzz
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OpenStudy (aravindg):
:)
OpenStudy (anonymous):
yeah i think i got it
OpenStudy (aravindg):
wow
OpenStudy (aravindg):
tl plzzzzz
OpenStudy (aravindg):
.........
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OpenStudy (aravindg):
....................................
OpenStudy (anonymous):
Okay so you know that sin(theta) = cos(theta-pi/2)
Replace one of the sin with that then solve.
OpenStudy (aravindg):
wt abt second question?
OpenStudy (anonymous):
btw there's another trig idenity that you need... let me find it.
OpenStudy (anonymous):
sin(2theta) = 2sin(theta)cos(theta)
and
cos(2theta)=cos^2(theta)-sin^2(theta)
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OpenStudy (aravindg):
thn???
OpenStudy (anonymous):
Wouldn't have a clu with the other question...
OpenStudy (aravindg):
:) anothr one thn
OpenStudy (aravindg):
solve tan theta+tan 2 theta+tan 3 theta =0
OpenStudy (anonymous):
tan^2 theta ?
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OpenStudy (anonymous):
or is that tan(2theta) ?
OpenStudy (aravindg):
tan(2theta)
OpenStudy (anonymous):
okay, hmmm...
OpenStudy (aravindg):
.................
OpenStudy (anonymous):
I suppose you could use the trivial solution and that is when sin(theta) = 0 and cos(theta) = 0 ..
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OpenStudy (anonymous):
sorry costheta = 1
OpenStudy (aravindg):
?
OpenStudy (anonymous):
Well tan = sin/cos ...
So if sin = 0, sin/cos = 0
OpenStudy (anonymous):
i.e. the Answer is theta = 0, x*pi where x is an integer
OpenStudy (anonymous):
0 or x*pi that is.
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OpenStudy (aravindg):
:)
OpenStudy (anonymous):
That one is conceptual.
OpenStudy (anonymous):
i have a solution
OpenStudy (aravindg):
?
OpenStudy (anonymous):
to the first problem
\[\sec(\theta)-\csc(\theta)=\frac{4}{3}\]
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OpenStudy (anonymous):
actually there is something wrong with my solution, let me see if i can fix it