Question

I don't understand how to get the point (x,y) on the unit circle that corresponds to the real number t.
t=5π/4

Answer 1

count \[\frac{5\pi}{4}\] around the unit circle. the first coordinate will be \[-\frac{\sqrt{2}}{2}\] as will the second

Answer 2

http://tutorial.math.lamar.edu/cheat_table.aspx

Answer 3

look at unit circle on the last page of the trig cheat sheet and you will see them all mapped out

Answer 4

a unit circle has parametric equation:
x=sint, y=cost.
this t is the real value called parameter.
in ur example it is 5*pi/4.
just substitute and get the co-ordinates.

Answer 5

rather x= cost, y= sint

Answer 6

i think the point of knowing the points on the unit circle is to be able to find the sine and cosine of \[\frac{5\pi}{4}\] not the other way around

Answer 7

ya. Maybe u r right........