# Thread: Simplify completely as possible

1. ## Simplify completely as possible

Allright, moving along on the problems that I am working on, I have come across this:

Q: Simplify as completely as possible.

sin(π/3) //that is "pi" divided by 3 just in case the "pi" symbol isn't clear.

So I am suppose to let π = 180˚ then divide by 3 thus giving me 60˚

So I end up with sin(60˚) ?

The book I am using mentioned how I can input this type of trigonometric function by entering it into a calculator.

$pi$

So I put (sin(π/3)) in the calculator and it gave me aprox. = .866025

Any suggestions?

Ohh how can I get the "pi" symbol using the math bracket code? I tried "p" and "i" encapsulated in math brackets but neither of those gave me the "pi" symbol.

cheers.

2. Originally Posted by ipatch
Allright, moving along on the problems that I am working on, I have come across this:

Q: Simplify as completely as possible.

sin(π/3) //that is "pi" divided by 3 just in case the "pi" symbol isn't clear.

So I am suppose to let π = 180˚ then divide by 3 thus giving me 60˚

So I end up with sin(60˚) ?

The book I am using mentioned how I can input this type of trigonometric function by entering it into a calculator.

$pi$

So I put (sin(π/3)) in the calculator and it gave me aprox. = .866025

Any suggestions?

Ohh how can I get the "pi" symbol using the math bracket code? I tried "p" and "i" encapsulated in math brackets but neither of those gave me the "pi" symbol.

cheers.
this is a unit circle value ...

$\sin\left(\frac{\pi}{3}\right) = \frac{\sqrt{3}}{2}$

learn the radian angles and their trig values on the unit circle ... today isn't too early to start.

3. ## Many Ways To Solve

The First Way is :

$
\sin \frac {\pi}{3} = \cos \frac {\pi}{6} = \sqrt {1- \sin ^2 \frac {\pi}{3}}
$

Or You Can using Another One:

$
\sin \frac {\pi}{3} = 2 \sin \frac {\pi}{6}\cos \frac {\pi}{6}
$