Question

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

Answer 1

`2 cos(30°)/cos(60°)`

Explanation:

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.