## anonymous 3 years ago How many degrees are in 3pi/2 radians?

1. ZeHanz

A full circle is 360 degrees. If you take the Unit circle, the circumference is 2*pi*r=2*pi*1=2pi. Because the radian is the same unit as the length of the unit circle, there are also 2pi radians in a full circle. So remember: 360 degrees = 2pi radians. Now can you see the number of degrees in 3pi/2 (= 3/2*pi) radians?

2. anonymous

thx

3. anonymous

4. Hero

pi = 180 3pi/2 = 3(180)/2 = 3(90) = ?

5. anonymous

still confusion?

6. Hero

You can't make it any more obvious than that.

7. anonymous

ya i get it thx

8. Hero

So...what is it then?

9. anonymous

270

10. anonymous

What is the exact value of cos 45° as found on the unit circle?

11. Hero

I'm only going to show you this once...I hope you understand it

12. anonymous

k

13. Hero

$\sin(0,30,45,60,90) = \frac{\sqrt{0,1,2,3,4}}{2}$ $\cos(0,30,45,60,90) = \frac{\sqrt{4,3,2,1,0}}{2}$