SOLUTION: The value of sin 3 times pi divided by 4 is negative square root of 2 divided by 2. true or false?

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Question 826533: The value of sin 3 times pi divided by 4 is negative square root of 2 divided by 2. true or false?
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
pi%2F2+=+%281%2F2%29pi
3pi%2F4+=+%283%2F4%29pi
pi+=+1%2Api
Looking at 3pi%2F4 as three fourths pi helps us figure out that it is greater than pi%2F2 but less than pi. So 3pi%2F4 terminates in the second quadrant.

sin is positive in the second quadrant so it cannot be -sqrt%282%29%2F2.