Evaluate the following 2 sin 60°- cos 30°?

1 Answer
May 13, 2018

#sqrt{3}/2#

Explanation:

First we fight off the depression from seeing another problem about a 30/60/90 triangle.

Second, it's not necessary but we notice we can get a little mileage from complementary angles:

# 2 sin 60^circ - cos 30^circ = 2 sin 60^circ - sin 60^circ = sin 60^circ = sqrt{3}/2#

We could have just plugged in the tired old values we know:

#2 (\sqrt{3}/2) - \sqrt{3}/2 = \sqrt{3}/2 #