Question

What is the y-value of sin(x) when x= -360°

Answer 1

So we have our unit circle

Answer 2

Let me ask you...sin(0) = ? ....what does that equal?

When we are at 0 on the unit circle...what does sin = ?

Answer 3

i have no clue to be honest.

Answer 4

That's fine...and sorry I had something to do...still here with me?

Answer 5

does it equals to 0?

Answer 6

Yes it would equal 0...do you understand why?

sin...is the vertical in the unit circle

Answer 7

so when we are at 0 ...which is just to the right of that start point....we have not gone up or down anything right? so we have a vertical component of 0..

so yes...sin(0) = 0

Answer 8

So if that makes sense I'll keep going....now if you go 360 degrees around the circle...(that is...if you go completely around the circle back to where you started) we are back at the 0 again right?

So we know sin(360) = 0 also right?

Now that applies the same...as if we go counterclockwise (360 degrees) or clockwise (-360)

we still end up at the same place as when we started...and we still arrive at 0

sin(360) = 0
sin(-360) = 0

Answer 9

thank you for taking your time explaining this to me. i appreciate it :)

Answer 10

No problem man!