<PRE><B>Question 803170</B>
What is sin and cos for 585 degrees and -675 degrees?
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For 585&amp;#730;
Rotate counter clockwise 360&amp;#730;plus an additional 225&amp;#730; which places the reference angle of 45&amp;#730; in quadrant III where sin&lt;0, cos&lt;0.
sin 585&amp;#730;= sin 45&amp;#730;=-&amp;#8730;2/2
cos 585&amp;#730;= cos 45&amp;#730;=-&amp;#8730;2/2
...
For -675&amp;#730;
Rotate clockwise 360&amp;#730;plus an additional 315&amp;#730; which places the reference angle of 45&amp;#730;in quadrant I where sin&gt;0, cos&gt;0.
sin -675&amp;#730;= sin 45&amp;#730;=&amp;#8730;2/2
cos -675&amp;#730;= cos 45&amp;#730;=&amp;#8730;2/2
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