How do you find the exact values for the six trigonometric funcitons of the angle theta, when it's in standard posistion, and you're given the coordinates (-8/17, 15/17)?

Question

anonymous · Answer

Standard position = quadrant 1
Therefore x = 15, y = 17
tan theta = opp/adj
theta = arctan (17/15)

anonymous · Answer

You need to create a triangle where the angle is in standard position.  When you set up the triangle, the signs should all become positive.  Then using the triangle, you find
sin=opp/hyp
cos=adj/hyp
tan=opp/adj
csc=hyp/opp
sec=hyp/adj
cot=adj/opp

Then you change the values to be positive or negative depending on the quadrant it is in

anonymous · Answer

what do I do with the -8/17 though? I just don't understand how to make a triangle, because it gives us a circle, with the other side of the triangle in the 2nd quadrant..

anonymous · Answer

Could you draw out what you mean?

anonymous · Answer

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