SOLUTION: What would be the positive angles of Q in degree for which sin Q = negative square root 2/2?

Question 443665: What would be the positive angles of Q in degree for which sin Q = negative square root 2/2?
Answer by swincher4391(1107) (Show Source): You can put this solution on YOUR website!
Recall the method with the 30,60 90 triangle , but this time draw a 45,45,90 triangle.
The sides are 1,1,sqrt(2) in the 45 45 90 triangle.
A,S,T,C
so in q3,q4, sin is negative.
So we look at our reference angles.
the reference angle in q3 is 180

the reference angle in q4 is 360

Since you have an infinite amount of angles (since you can add 360 each time), we could express our answer as:

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