Question

find the exact value of 2sin30 cos30

Answer 1

Answer:

$\frac{\sqrt{3}}{2}$

Step-by-step explanation:

Let's take a look at the unit circle below.

Remmeber that cos represents the x-value and that sin represents the y-value.

We see that:

$sin(30)= \frac{1}{2}\\\text{and}\\ cos(30) = \frac{\sqrt{3}}{2}$

Now we just multiply all the together and we get:

$2*\frac{1}{2}*\frac{\sqrt{3}}{2} =\frac{\sqrt{3}}{2}$