Department of Mathematics
The Department of Mathematics will focus on empowering women to lead with curiosity, confidence, and collaboration. We break barriers, challenge norms, and inspire future generations through the power of logic and creativity. Here, every equation is an opportunity, and every voice counts.
What is Trigonometry?
By Zixin Fang
Definition
A branch of mathematics related to specific functions of angles and their application to calculations.
Trigonometric functions are used in obtaining unknown angles and distances from known or measured angles in geometric figures.
Why is this important?
Trigonometry was developed to facilitate the computation of angles and distances in various fields, such as astronomy, mapmaking, surveying, and artillery range finding. Using trigonometry to determine unknown angles and distances can lead to further development in various fields.
Recent Breakthrough
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In recent years, two high school students created a trigonometric proof of the Pythagorean Theorem
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It was only ever accomplished by a few professional mathematicians
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Others proved that not only does that their method work, but there are an additional nine proofs to add to their original discovery.
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The results of their work were published in the journal The American Mathematical Monthly.
Application of Trigonometry
Throughout history, trigonometry has been used in many different fields, one most noticeable is in maritime navigation. Since distance, angle, and position are a significant part of navigation, sailors were able to determine them by using trigonometry and celestial navigation.
Career paths
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Engineering - Trigonometry is essential for designing mechanical systems and analyzing motion.
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Architecture - Apply trigonometry, alongside geometry and algebra, in their design process.
Works Cited
The Bridge Crossing Problem
By Zixin Fang
Rules
Four people need to cross a bridge.
It’s pitch dark — only one flashlight.
Only TWO people can cross at a time.
Each person walks at a different speed.
The flashlight must be carried on every trip.
When two people cross, they move at the slower person’s speed.
Rules Continues
Person A: 1 min
Person B: 2 min
Person C: 5 min
Person D: 10 min
Can they all cross in 17 minutes or less?
Can you determine the shortest amount of time it takes to cross the bridge?
Solution
SHORTEST TIME: 17 MIN
A & B cross → 2 min
A returns → 1 min
C & D cross → 10 min
B returns → 2 min
A & B cross again → 2 min
Total time: 17 minutes
