Given $sectheta=5$ and $tantheta=2sqrt6$ , how do you find $sintheta$ ?

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Answer 1 · 2016-12-31T20:33:00

I found: $sintheta=2/5sqrt(6)$

We can write:
$sectheta=1/(costheta)=5$
$tantheta=(sintheta)/(costheta)=2sqrt(6)$

From the first:
$costheta=1/5$
Into the second:
$(sintheta)/(1/5)=2sqrt(6)$
And so:
$sintheta=2/5sqrt(6)$

Given sectheta=5sectheta=5 and tantheta=2sqrt6tantheta=2sqrt6, how do you find sinthetasintheta?