Question

Find the exact value of 2sin30 cos30

Answer 1

`(√(3))/(2)`

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)= (1)/(2)\\\text{and}\\ cos(30) = (√(3))/(2)`

Now we just multiply all the together and we get:

`2*(1)/(2)*(√(3))/(2) =(√(3))/(2)`