How do I find the 6 trigonometric values?

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I'm in trig, and we're using the unit circle. The equation for that is x^2+y^2=1. The problem gave me the value for tan which is tan(-15/8), so cot is cot(-8/15). How do I find sin, cos, sec, and cos?

Oct 21st, 2015

Thank you for the opportunity to help you with your question!

You need to use a right triangle to express the value of tangent.  See attached.

Then, you use the Pythagorean Thm. to find the value of the hypotenuse:  17

From there you use the values from SOHCAHTOA to find the values of sine and cosign.

sin = opp/hyp = -15/17

cos = adj/hyp = 8/17

sec and csc are the inverses of cosine and sine respectively:

sec = 1/cos = 17/8

csc = 1/sin = 17/-15

Hope that helps.

Solution.pdf 

Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 21st, 2015

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