2016 AMC 10B Problems/Problem 3
Contents
[hide]Problem
Let . What is the value of ?
Solution 1
Substituting carefully,
becomes which is .
Solution 2
Solution by e_power_pi_times_i
Substitute into the equation. Now, it is . Since , it is a positive number, so . Now the equation is . This further simplifies to , so the answer is
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See Also
2016 AMC 10B (Problems • Answer Key • Resources) | ||
Preceded by Problem 2 |
Followed by Problem 4 | |
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All AMC 10 Problems and Solutions |
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