2006 iTest Problems/Problem 17
Revision as of 18:27, 30 November 2018 by Rockmanex3 (talk | contribs) (Solution to Problem 17 -- Sum of Trig Powers)
Problem
Let . Find the numerical value of
.
Solution
Notice that adding and subtracting in
results in a factorable expression:
.
The first three terms can be factored into , which simplifies to
. Also, since
, we know that
.
Thus, the expression equals .
See Also
2006 iTest (Problems, Answer Key) | ||
Preceded by: num-b=16 |
Followed by: Problem 18 | |
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