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Key function values to memorize

Power, logarithmic, and trigonometric functions have characteristic values which you should memorize. In addition to these, you should also remember the important constants:
pi~3.1416, e~2.7183, sqrt(2)~1.4142

Integer powers

table of squares, cubes, 4th and 5th powers

Key logarithm values

log 1 = 0   log(10) = 1
 ln 1 = 0   ln(e) = 1

Key trigonometric values

table of sine, cosine and tangent at 0,pi/6,pi/4,pi/3,pi/2,pi,3pi/2, and 2pi
Practice

Be sure you've looked through all of the values above before doing these. Of course, because we're just memorizing, these are just like flashcards: fill in each value, then click "check" to see if you're right.

  1. Powers of integers:
    Find   Answer   Check it   Is it right?
    		     Find   Answer   Check it   Is it right?
    2^2      
    		    2^3      
    2^4      
    		    2^4      
    3^2      
    		    3^3      
    3^4      
    		    4^2      
    4^3      
    		    5^2      
    5^3      
    		    6^2      
    7^2      
    		    8^2      
    9^2      
    		    10^2      
    10^3      
    		    10^4      
    11^2      
    		    12^2      

  2. Trigonometric values (enter "undef" for undefined values, and enter square roots as "sqrt": the square root of 2 would be "sqrt(2)"):
    3. Find   Answer   Check it   Is it right?
    		     Find   Answer   Check it   Is it right?
    cos(0)      
    		    cos(pi/6)      
    cos(pi/4)      
    		    cos(pi/3)      
    cos(pi/2)      
    		    cos(pi)      
    cos(3pi/2)      
    		    cos(2pi)      
    sin(0)      
    		    sin(pi/6)      
    sin(pi/4)      
    		    sin(pi/3)      
    sin(pi/2)      
    		    sin(pi)      
    sin(3pi/2)      
    		    sin(2pi)      
    tan(0)      
    		    tan(pi/6)      
    tan(pi/4)      
    		    tan(pi/3)      
    tan(pi/2)      
    		    tan(pi)      
    tan(3pi/2)      
    		    tan(2pi)      
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precal: 14.2 - function values
page created: Sat Nov 23 03:02:54 2024
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©2003-2007 Gavin LaRose, Pat Shure / University of Michigan Math Dept. / Regents of the University of Michigan