SOLUTION: What is sin and cos for 585 degrees and -675 degrees?

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Question 803170: What is sin and cos for 585 degrees and -675 degrees?
Answer by lwsshak3(11628) About Me  (Show Source):
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What is sin and cos for 585 degrees and -675 degrees?
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For 585˚
Rotate counter clockwise 360˚plus an additional 225˚ which places the reference angle of 45˚ in quadrant III where sin<0, cos<0.
sin 585˚= sin 45˚=-√2/2
cos 585˚= cos 45˚=-√2/2
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For -675˚
Rotate clockwise 360˚plus an additional 315˚ which places the reference angle of 45˚in quadrant I where sin>0, cos>0.
sin -675˚= sin 45˚=√2/2
cos -675˚= cos 45˚=√2/2