Description
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?
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Explanation & Answer
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.
Please let me know if you need any clarification. I'm always happy to answer your questions.
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