Difference between revisions of "2006 iTest Problems/Problem 17"
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==See Also== | ==See Also== | ||
− | {{iTest box|year=2006| | + | {{iTest box|year=2006|num-b=16|num-a=18|ver=[[2006 iTest Problems/Problem U1|U1]] '''•''' [[2006 iTest Problems/Problem U2|U2]] '''•''' [[2006 iTest Problems/Problem U3|U3]] '''•''' [[2006 iTest Problems/Problem U4|U4]] '''•''' [[2006 iTest Problems/Problem U5|U5]] '''•''' [[2006 iTest Problems/Problem U6|U6]] '''•''' [[2006 iTest Problems/Problem U7|U7]] '''•''' [[2006 iTest Problems/Problem U8|U8]] '''•''' [[2006 iTest Problems/Problem U9|U9]] '''•''' [[2006 iTest Problems/Problem U10|U10]]}} |
[[Category:Introductory Trigonometry Problems]] | [[Category:Introductory Trigonometry Problems]] |
Latest revision as of 18:27, 30 November 2018
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: Problem 16 |
Followed by: Problem 18 | |
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