SOLUTION: Express in surd form Sin135 degrees Thank you

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Question 401050: Express in surd form Sin135 degrees

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Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
To find the sin(135) we first need to find the reference angle. The reference angle is the angle formed between the terminal side of the given angle and the closest part of the x-axis. 135 is between 90 and 180 so it is in the 2nd quadrant. This make the reference angle the angle between the terminal side (in the 2nd quadrant) and the negative part of the x-axis. So the reference angle is 180-135 = 45.

For sin(45) we have sqrt%282%29%2F2. In the second quadrant sin is still positive. So sin(135) = sqrt%282%29%2F2.