Making a Graphing Organizer for the Inverse Trig Functions:
ARCSIN (SIN-1), ARCCOS (COS-1), ARCTAN (TAN-1)
Materials
Blank paper
Markers/colored pencils (at least 3 colors)
Protractor or Compass (not required, you can sketch a circle instead)
Ruler (not required, you can sketch line segments instead)
Book, pg.284
Instructions
1.) Fold paper in fourths
2.) Use folds to draw x- and y-axis with a dark color
3.) Draw a large circle on the axis (centered, like the Unit Circle) with the same dark color
4.) Place a large “X” through the 3rd quadrant (it is not used for the inverse functions)
5.) Mark angles in the FIRST Quadrant with the dark color (no need for radians, degrees, or coordinates…just draw angle)
6.) Mark angles in the SECOND Quadrant with the dark color
7.) Mark angles in the FOURTH Quadrant with the dark color
8.) See page 284 (Math IV) or ph. 345 (A.M. III) for information about which inverse function uses which quadrants.
Shade your circle accordingly using 3 different colors. For example, you may use blue to shade the first and fourth
quadrants for arcsin x. NOTE: This is for your benefit, to try and help you remember the correct radians (range) for the
inverse functions…color in any way that is helpful for you!
9.) Write the function name in the same color that you shaded. For example, you might write ARCSIN and SIN-1 in blue if
you shaded its domain in blue. Note: arcsin is the same as sin-1, just as arccos is the same as cos-1 and arctan is the same
as tan-1.
10.) Write your name on your graphic organizer and use it to complete the following assignment:
Assignment:
Math IV – After completing the above graphic organizer, use it to complete #1-18 on the attached worksheet.
A.M. III – After completing the above graphing organizer, use it to check your answers for #1-18 on the attached
worksheet.