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System of trig equations (1991 AIME #9)

In this video, I solved a question from the 1991 AIME. It was necessary to use a modified version of the pythagorean trig identity to solve it. Ultimately, it was important to simplify the fraction at the end to obtain the final solution

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81^(sin^2x) + 81^(cos^2x) =30    [ Karnataka 2004 CET ]
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81^(sin^2x) + 81^(cos^2x) =30 [ Karnataka 2004 CET ]

floor(3/x)) -  Floor(1/x) = 3
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floor(3/x)) - Floor(1/x) = 3

Solving a Quartic Equation
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Solving a Quartic Equation

Nice Radical Simplification Problem / Olympiad Mathematics @mathsaminute
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Nice Radical Simplification Problem / Olympiad Mathematics @mathsaminute

Austrian  Olympiad System of Equations
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Austrian Olympiad System of Equations

1. The Geometry of Linear Equations
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1. The Geometry of Linear Equations

Intimidating Logarithmic Equations | Can you solve?
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Intimidating Logarithmic Equations | Can you solve?

Every Algebra Lesson in One Video! [Full Course]
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Every Algebra Lesson in One Video! [Full Course]

Understand Trig in Under 10 Minutes
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Understand Trig in Under 10 Minutes

The Professor Who Taught People How To Think (1962)
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The Professor Who Taught People How To Think (1962)

int[sin^4(x)]
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int[sin^4(x)]

God Says:"MY CHILD, I NEED TO SEE YOU URGENTLY!"/God Message Now/God Message
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God Says:"MY CHILD, I NEED TO SEE YOU URGENTLY!"/God Message Now/God Message

4x²-40⌊x⌋+51=0 [CMO]
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4x²-40⌊x⌋+51=0 [CMO]

Maxwell's Equations - The Ultimate Beginner's Guide
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Maxwell's Equations - The Ultimate Beginner's Guide

She’s 12. She Sings Aretha Franklin… Until Simon TELLS Her to Do It Acapella! 😳
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She’s 12. She Sings Aretha Franklin… Until Simon TELLS Her to Do It Acapella! 😳

Art of Problem Solving: 2012 AIME I #14
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Art of Problem Solving: 2012 AIME I #14

We're 99.9% sure this pattern is true, but no one can prove it
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We're 99.9% sure this pattern is true, but no one can prove it

Lambert W Function
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Lambert W Function

But what is a Laplace Transform?
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But what is a Laplace Transform?

Floor equation
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Floor equation

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