Art of Problem Solving

2019 AIME I Problems/Problem 8: Difference between revisions

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==Solution 2==
==Solution 2==
Can't do that!


==See Also==
==See Also==
{{AIME box|year=2019|n=I|num-b=7|num-a=9}}
{{AIME box|year=2019|n=I|num-b=7|num-a=9}}
{{MAA Notice}}
{{MAA Notice}}

Revision as of 19:34, 14 March 2019

The 2019 AIME I takes place on March 13, 2019.

Problem 8

Let $x$ be a real number such that $\sin^{10}x+\cos^{10} x = \tfrac{11}{36}$. Then $\sin^{12}x+\cos^{12} x = \tfrac{m}{n}$ where $m$ and $n$ are relatively prime positive integers. Find $m+n$.

Solution

Solution 2

See Also

2019 AIME I (ProblemsAnswer KeyResources)
Preceded by
Problem 7
Followed by
Problem 9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
All AIME Problems and Solutions

These problems are copyrighted © by the Mathematical Association of America.