SOLUTION: Please help me solve this question: How do you find the tangent of -675 degrees in a unit circle?

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Question 596838: Please help me solve this question: How do you find the tangent of -675 degrees in a unit circle?
Answer by math-vortex(648) About Me  (Show Source):
You can put this solution on YOUR website!
Hi, there--
.
You first need to find the measure of a congruent angle with a degree measure between 0 degrees and 360 degrees (an angle less than or equal to one rotation around the unit circle.) You find this by adding an integer multiple of 360 to -675 degrees to give a value in that range. In this case we add 2*360=720
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-675%2B%282%2A360%29=-675%2B720=45
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An angle with a measure of -675 degrees is congruent to an angle with a measure of 45 degrees.
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45 degrees is one of those benchmark values in trigonometry. You should recognize right away that
sin%2845%29=sqrt%282%29%2F2
cos%2845%29=sqrt%282%29%2F2
tan%2845%29=1.
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That's it. Feel free to email me via gmail if my explanation is unclear.
.
Ms.Figgy
math.in.the.vortex@gmail.com