How do you simplify (csc 30° )(tan 60° )?

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Answer 1 · 2015-10-16T10:57:05

$2 cos(30°)/cos(60°)$

Applying the definition:

$csc(30°) tan(60°) = 1/sin(30°)* sin(60°)/cos(60°)$

Since $60$ is the double of $30$ we can use the double angle formula for $sin(60°)$ :

$sin(60°)=sin(2*30°)=2sin(30°)cos(30°)$ .

So, we can simplify

$1/cancel(sin(30°))* (2cancel(sin(30°))cos(30°))/cos(60°)$ .

So, we've ended up with $2 cos(30°)/cos(60°)$ , which I'd say it's no longer possible to simplify.