"Normal" for Tangent Explanation: Tan=sin/cos, as in the previous blogpost, cos is zero making it undefined, and by using the unit circle we are able to recognize that cos= 0 ois pi (90 degrees) and 3pi/2 (270 degrees), which is where the asymptotes will be placed. After finding the asymptotes, you should be able to recognize that following pattern + - + - In the first quad, it should be going up, and then in middle (pi/2 to 3pi/2) it should go to bottom to top, and in the kast quad it should go to the bottom.
Wednesday, April 24, 2013
Unit T Big Question #3
3. Why is a "normal" tangent graph uphill, but a "normal" tangent graph downhill? Use unit circle ratios to explain.
"Normal" for Tangent Explanation: Tan=sin/cos, as in the previous blogpost, cos is zero making it undefined, and by using the unit circle we are able to recognize that cos= 0 ois pi (90 degrees) and 3pi/2 (270 degrees), which is where the asymptotes will be placed. After finding the asymptotes, you should be able to recognize that following pattern + - + - In the first quad, it should be going up, and then in middle (pi/2 to 3pi/2) it should go to bottom to top, and in the kast quad it should go to the bottom.
Cotangent: Cotangent= cos/sin , sin =0 and by using the unit circle, sin=0 equals o, 2pi, and pi. (0 degrees, 180 degrees, and 360 degrees), which were the asymptotes will be placed. It will follow the pattern +- + - and it will start to top to bottom.
"Normal" for Tangent Explanation: Tan=sin/cos, as in the previous blogpost, cos is zero making it undefined, and by using the unit circle we are able to recognize that cos= 0 ois pi (90 degrees) and 3pi/2 (270 degrees), which is where the asymptotes will be placed. After finding the asymptotes, you should be able to recognize that following pattern + - + - In the first quad, it should be going up, and then in middle (pi/2 to 3pi/2) it should go to bottom to top, and in the kast quad it should go to the bottom.
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