itzmetheguy: can the sine of an angle equal 2?
Why or Why not?
Good question.
Think about it.
sine(theta) = opposite / hypotenuse
the hypotenuse is the longest side of the right angled triangle.
Therefore, opp / hyp must be between 0 and 1. (because the bigger number is on the bottom)
When you learn about angles bigger than 90 degrees, You will find out that the sine can be negative. between -1 and 0
So
the sine of an angle must be between -1 and +1 (inclusive)
I'll show you what y = sine(theta) looks like, the graph shows you that any value of sine(theta) is between -1 and 1
y=sinx.JPG