Question 570725: Explain why sin(7 degrees)+ sin(353 degrees)= 0
Answer by richard1234(7193)   (Show Source):
You can put this solution on YOUR website! Look on a unit circle. The sine of an angle is the y-coordinate of the point determined by that angle. The point on the unit circle corresponding to 7 degrees will have some y-coordinate y1, so sin 7 = y1. Similarly, the point corresponding to 353 degrees is "reflected" over the x-axis and will have the y-coordinate -y1, so sin 353 = -y1. y1 + (-y1) = 0, so the statement is true.
|
|
|
