Mathematics
11 Online
OpenStudy (anonymous):
verify each identity
11 years ago
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OpenStudy (anonymous):
11 years ago
OpenStudy (anonymous):
did you get it
11 years ago
OpenStudy (anonymous):
its number 66
11 years ago
OpenStudy (kainui):
Show us your best attempt at trying to show it's true.
11 years ago
Directrix (directrix):
Do you have a formula in the book for cot(x/2)
11 years ago
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OpenStudy (anonymous):
no i dont, that's what's confusing me i dont know where to start
11 years ago
Directrix (directrix):
What is the reciprocal function of cotangent?
11 years ago
OpenStudy (anonymous):
cos
11 years ago
Directrix (directrix):
No. Look at the attached chart.
11 years ago
Directrix (directrix):
What is the reciprocal function of cotangent?
11 years ago
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OpenStudy (anonymous):
tan
11 years ago
OpenStudy (anonymous):
\[\sqrt{\frac{ 1-\cos \alpha }{ 1+\cos \alpha }}\]
11 years ago
Directrix (directrix):
What did you just post? Half angle for tangent or cotangent?
11 years ago
OpenStudy (anonymous):
half angle for tangent
11 years ago
Directrix (directrix):
Because the tangent and cotangent are reciprocals, I would like to think that the cotangent of the half angle is the reciprocal of the expression you entered.
11 years ago
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OpenStudy (anonymous):
\[\sqrt{\frac{ 1+ \cos \alpha }{ 1-\cos}}\]
11 years ago
Directrix (directrix):
Let's aim for that. I think it can be rewritten in a simpler way.
11 years ago
OpenStudy (anonymous):
how should i go about simplifying it?
11 years ago
Directrix (directrix):
Try rationalizing the denominator
11 years ago
OpenStudy (anonymous):
\[\sqrt{\frac{ 1+\cos \alpha }{ 1-\cos \alpha }} (\frac{ 1-\cos \alpha }{ 1-\cos \alpha})\]
11 years ago
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Directrix (directrix):
Radical symbol
11 years ago
OpenStudy (anonymous):
yes
11 years ago
OpenStudy (anonymous):
with the symbol
11 years ago
Directrix (directrix):
Did you get this far? (see attachment) I break up my square roots of a quotient to be the quotient of the square roots.
11 years ago
Directrix (directrix):
Multiply out the numerators and post what you get.
11 years ago
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OpenStudy (anonymous):
okay one moment
11 years ago
OpenStudy (anonymous):
11 years ago
Directrix (directrix):
Incorrect move. One of those is a radical. The other is not. And, you cannot divide them out.
|dw:1423016957879:dw|
11 years ago