SOLUTION: cos &#952; =12/13, 270°<&#952;<360° find the exact value of each of the remaining trigonometric functions of &#952;

Algebra ->  Trigonometry-basics -> SOLUTION: cos &#952; =12/13, 270°<&#952;<360° find the exact value of each of the remaining trigonometric functions of &#952;      Log On


   

Question 926729: cos θ =12/13, 270°<θ<360° find the exact value of each of the remaining trigonometric functions of θ
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
270°<θ<360° means the angle is in the 4th quadrant
where the cos is positive
If I say cos = b/c and sin = a/c, I can also say:
+b+=+12+
+c+=+13+
+a%5E2+=+c%5E2+-+b%5E2+
+a%5E2+=+13%5E2+-+12%5E2+
+a%5E2+=+169+-+144+
+a%5E2+=+25+
+a+=+-5+ ( it's in the 4th quadrant )
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+sin%28+theta+%29+=+-5%2F13+
+tan%28+theta+%29+=+-5%2F12+
+cot%28+theta+%29+=+-12%2F5+
+sec%28+theta+%29+=+13%2F12+
+csc%28+theta+%29+=+-13%2F5+
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Draw the picture if that helps
actually, always draw the picture