# trig equality - stick

• February 28th 2009, 03:02 PM
TYTY
trig equality - stick
$\frac{(\sqrt{5}tan \theta)^2*\sqrt{5}sec^2 \theta}{\sqrt{5 +5tan^2\theta}}$

is supposed to equal $5tan^2\theta$

it's the part in the middle that's screwing me :o
• February 28th 2009, 03:52 PM
skeeter
did you post the numerator correctly?

here's what can be done with the denominator ...

$\sqrt{5 + 5\tan^2{\theta}}
$

$\sqrt{5(1 + \tan^2{\theta})}
$

$\sqrt{5\sec^2{\theta}}$