Find the reference angle for the given angle θ. 5.45

Question

jdoe0001 · Answer

5.45 radians?

anonymous · Answer

I don't know all it says on the problem is 5.45. Should I assume it is radians?

jdoe0001 · Answer

well.... could also be 5.45 degrees I gather

anonymous · Answer

the other problems all had a degree symbol next to them. I'm just gunna work it like it is radiams. Do you know how to work it if it is (8pi)/9?

jdoe0001 · Answer

a reference angle, is just an angle that you could make with the horizontal line

for example  |dw:1403392879876:dw|

jdoe0001 · Answer

5.45 radians

a circle has an angle around of $2\pi$   that is in radians in $\pi$ terms
$\bf 2\pi\to 2\cdot 3.1416 \approx 6.2832
\ \quad \
6.2832 - 5.45= 0.8332\ radians$

jdoe0001 · Answer

so.... the issue is, where is 5.45 radians at

and I think is in the 3rd quadrant

jdoe0001 · Answer

if you want to say...    will be easier to find it with degrees
if you want to convert it to degrees, all you have to do is $\bf degrees=\cfrac{5.45\cdot 180}{\pi}\approx 312.26^o$

so where is 312.26 degrees?    well |dw:1403393288332:dw|