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AonZ
Group Title
Eliminate A from each pair of parametric equations
x = 2tan( A/2)
y = cosA
 one year ago
 one year ago
AonZ Group Title
Eliminate A from each pair of parametric equations x = 2tan( A/2) y = cosA
 one year ago
 one year ago

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jdoe0001 Group TitleBest ResponseYou've already chosen the best response.1
$$\large{ 2 tan\pmatrix{\frac{a}{2}}=2\pmatrix{\frac{1cos(a)}{sin(a)}}\\ \color{red}{y} = \color{blue}{cos(a)} \ \ \ thus\\ 2tan\pmatrix{\frac{a}{2}}=2\pmatrix{\frac{1y}{sin(a)}} \implies \pmatrix{\frac{22y}{sin(a)}}\\ x=\frac{22y}{sin(a)} \implies \color{blue}{sin(a)} = \color{red}{\frac{22y}{x}} } $$
 one year ago

jdoe0001 Group TitleBest ResponseYou've already chosen the best response.1
then just use the identity of \(\large sin^2+cos^2 =1\) to get your equation
 one year ago

AonZ Group TitleBest ResponseYou've already chosen the best response.0
how does \[{ 2 \tan\pmatrix{\frac{a}{2}}=2\pmatrix{\frac{1\cos(a)}{\sin(a)}}\\ }\]
 one year ago

jdoe0001 Group TitleBest ResponseYou've already chosen the best response.1
http://www.freemathhelp.com/images/halfangles.png halfangle identities, check your textbook formulas, or a formula cheatsheet you may have
 one year ago

jdoe0001 Group TitleBest ResponseYou've already chosen the best response.1
the picture there shows 2 for tangent, there are 3, at least on my sheet :)
 one year ago

AonZ Group TitleBest ResponseYou've already chosen the best response.0
ok thanks i got it :)
 one year ago
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