ࡱ> %` bjbjNN *$,,   L@ @ @ @    TVVVVVV$hz     z@ @ WWW R@ @ TW TWWV@@ LJw m j 0$00 v0  W     zzM           BC ANALYSIS: Worksheet B: graphing tangent and cotangent Use the graphing calculator and your unit circle (if you have to). Make sure your calculator is in radian mode. If you still have your table of values from the sine and cosine graphs you made previously, go directly to step 2. Go to STAT, Edit. This will bring you to a set of tables. In table L1, type in radian values from -2pi to 2pi. Example: Type  EMBED Equation.DSMT4 , hit enter. Type  EMBED Equation.DSMT4 , hit enter. Do this all the way around the circle, until you get to 2 pi. You should have 33 values. NOW DELETE THE RADIAN VALUES THAT WOULD MAKE TANGENT UNDEFINED. Go back to STAT, Edit. Move to L2. Move your cursor all the way up until it is on the name of the list (L2). Then type in tan (L1). Now go to STAT PLOT (2nd+Y=). Press Enter, put cursor on ON and press enter. Arrow down to TYPE, highlight first type (scatter plot) and press ENTER. Arrow down to Xlist. It should already say L1, but if it doesn't, type SECOND, 1, ENTER. For Y list, type SECOND, 2, ENTER. Now go to ZOOM 9 and press ENTER. You should see your 33 values as points on the X/Y plane. You have unwrapped the tangent values around the unit circle and created a function: Y = tan(x)! Now go to Y=, itself and under Y1, type in tan (x). Then hit graph and the tangent graph should connect your <33 values. 6. Transfer this graph onto graph paper. Use the TRACE button to identify x and y values. DELETE VALUES FROM L1 THAT MAKE tan(x) ZERO! Go back to STAT, Edit. Move the cursor to L2 and hit CLEAR then ENTER. Move the cursor back up to L2 and type 1/tan(x) (L1), ENTER. Zoom 9 again to see the graph of your cotangent values against L1. Now go to Y= and type 1/tan (x), then hit GRAPH. This is the unwrapped version of the cotangent values from -2pi to 2pi. You have created the function Y=cot (x)! Transfer this graph onto graph paper. Use the TRACE button to identify x and y values. BC ANALYSIS: Worksheet C: graphing secant and cosecant Use the graphing calculator and your unit circle (if you have to). Make sure your calculator is in radian mode. If you still have your table of values from the sine and cosine graphs you made previously, go directly to step 2. Go to STAT, Edit. This will bring you to a set of tables. In table L1, type in radian values from -2pi to 2pi. Example: Type  EMBED Equation.DSMT4 , hit enter. Type  EMBED Equation.DSMT4 , hit enter. Do this all the way around the circle, until you get to 2 pi. You should have 33 values. NOW DELETE THE RADIAN VALUES THAT WOULD MAKE cos(x) ZERO. Go back to STAT, Edit. Move to L2. Move your cursor all the way up until it is on the name of the list (L2). Then type in 1/cos (L1). Now go to STAT PLOT (2nd+Y=). Press Enter, put cursor on ON and press enter. Arrow down to TYPE, highlight first type (scatter plot) and press ENTER. Arrow down to Xlist. It should already say L1, but if it doesn't, type SECOND, 1, ENTER. For Y list, type SECOND, 2, ENTER. Now go to ZOOM 9 and press ENTER. You should see your 33 values as points on the X/Y plane. You have unwrapped the secant values around the unit circle and created a function: Y = sec(x)! Now go to Y=, itself and under Y1, type in 1/cos (x). Then hit graph and the secant graph should connect your 33 values. Transfer this graph onto graph paper. Use the TRACE button to identify x and y values. NOW DELETE THE RADIAN VALUES THAT WOULD MAKE sin(x) ZERO. Go back to STAT, Edit. Move the cursor to L2 and hit CLEAR then ENTER. Move the cursor back up to L2 and type 1/sin(x) (L1), ENTER. Zoom 9 again to see the graph of your cosecant values against L1. Now go to Y= and type 1/sin (x), then hit GRAPH. This is the unwrapped version of the cosecant values from -2pi to 2pi. 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