Help with equation

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September 30th 2009, 01:45 PM
Steven.Miles

Help with equation

express (tan@ + (tan@)^-1)^-1 in the form asin(n@) for constants a and n

btw Ive used @ as theta
September 30th 2009, 02:27 PM
skeeter

Quote:

Originally Posted by Steven.Miles

express (tan@ + (tan@)^-1)^-1 in the form asin(n@) for constants a and n

btw Ive used @ as theta

$(\tan{t} + \cot{t})^{-1}$

$\frac{1}{\tan{t} + \cot{t}}$

multiply by $\frac{\sin{t}\cos{t}}{\sin{t}\cos{t}}$ ...

$\frac{\sin{t}\cos{t}}{\sin^2{t} + \cos^2{t}}$

$\sin{t}\cos{t}$

$\frac{1}{2}\sin(2t)$

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