Question

In this picture, the measure of angle θ is 1 radian. TRUE or FALSE

Answer 1

so, where's the picture?

Answer 2

HERE

Answer 3

@jdoe0001 did you see it?

Answer 4

yes => http://www.mathsisfun.com/geometry/images/radian-definition.gif

Answer 5

So "TRUE" - Thanks!

Answer 6

now you know why is called a RADIAN :)

when the ARC made by the central angle, EQUATES the RADIUS
that angle is called a RADIAN
because of its relationship with the RADIUS

Answer 7

yw

Answer 8

Oh, you might get annoyed with me, but I have one more question for you!

Answer 9

ok

Answer 10

What are the coordinates of the terminal point determined by t = (20π)/3?

Answer 11

20/3 is a so-called "improper fraction"
if we make it a mixed type, then it'd be

6 2/3 or \(\bf 6\pi \cfrac{2}{3} \implies 3(2) \cfrac{2\pi}{3}\)

Answer 12

so the coordinates are (1/2 , √3/2)???

Answer 13

that means 3 times 2pi
and then 2pi/3 more after that, that is