Crashing Trigonometry Heads ON!

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Trying to figure it out myself...

Going back to 150 B.C.

and we find Hipparchus on RODHES ISLAND, OFF TURKEY, UNDER GREEK PROTECTORATE, 2,200 YRS AGO.

LORD:

Wanted to know why you Sir made this subject so hard for our kids?


HIPPARCHUS

Was not really my intention to make it look so hard. Actually my friend... It was invented for my own use as an avid Astronomer, astrologer and geographer. My knowledge of math and proportions and ratios gave me a head start...Ptolemy improved it in his 'Almagest'... and I feel so sorry for enforcing our Geocentric model on Copernicus and Galileo! Our mistake!


LORD:

Luckily we understand each other Sir. But the name trigonometry sometimes is too cumbersome...

HIPPARCUS

Is a composite word for my time which was written in Hellenistic Greece like this:τριγωνομετρία. Wow, this translator of yours really catches and keeps up with what I really want to say... trigo is 'trig onus' which roughly means triangle or three angles, and metro from metron, measurement.

LORD

That makes it a little clearer now... The cloud is going away in our minds.

HIPPARCUS

Why don't we explain together this subject to your kids? Two minds think better...

LORD

There you go...lets see..hum!


When Hipparchus was a kid in Nicaea(Today Turkey), he used to wonder how things were moving around him, but at nights there was no light...so He gazed into the stars. The easier game for him was to get sticks and tied them with chords.

So his mind was used to see the shadows of the sun on this rudimentary triangle shaped with 3 sharpened woods. When he got older he carried that ability into the diagrams and elliptical shapes.

He studied cosmography and astrology, inherited from Babylonians and Chaldean. His math was strong and wanted to figure out the universe himself. Eventually he came up with trigonometry to help him calculate distances from the sun and the moon to our planet. His first invention was the astrolabe that helped Columbus to make it to Caribbean shores. But lets cut on history and go to the basics.


IF YOU HAVE A TRIANGLE YOU HAVE TO REALIZE THIS:

NO MATTER HOW BIG THE TRIANGLE IS...

AN HYPOTENUSE AND ITS RESPECTIVE ADJACENT AND OPPOSITE SIZES WIL 'LOCK IN' A CONSTANT VARIABLE or ratio...

intrinsically relating angles and the measurements of chords and sides

EXAMPLE:

HIPOTENUSE=5

OPPOSITE=4

ADJACENT=3

THANKS TO PYTAGORAS WE KNOW THAT

32+42= 52

WHAT HIPPARCUS DID WAS TO CREATE NAMES FOR DIFFERENT RATIOS OF THAT TRIANGLE...SO HE CALLED THE PROPORTION BETWEEN..RED 'Y' AND BLUE 'R' SINUS

SIN(@)= Y/R

WHERE @ IS the particular angle for this unique triangle

Consequently Hipparchus gave the other names to similar combinations as is explained down in a MORE ANALITHICAL GRAPH. Sorry kids...trying to break it down as much as I can, but you will have to memorize somehow what is tan, cos or sin. Same as studying multiplication tables... AGAIN SORRY!




Source
Source

Surprisingly Egyptians adopted trigonometry using ancient Mnemonics

OSIRIS=OPPOSITE

HORUS=HYPOTENUSE

ISIS= ADJACENT

TAN(@)= OPPOSITE/ ADJACENT

SIN(@)= OPPOSITE/HYPOTENUSE

COS(@)= ADJACENT/HYPOTENUSE

We suspect that Isis 'per se' was close to their son Horus, unless in hieroglyphic language Isis=Ad

We can soak up again your brain with the numbers 3,4 and 5...as shown on the graph the relationship is unique and according to Pythagoras 3 and 4 will give you always an Hypotenuse value of 5( FOR ANGLES OF 37, 53 AND 90 DEGREES AS TAUGHT BY TEACHERS)

IF YOU INCREASE TO 6 AND 8 YOU WILL GET AN HYPOTENUSE OF 10 AND SO ON..

in another hub we will work with functions and identities.


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Comments 12 comments

raciniwa profile image

raciniwa 5 years ago from Naga City, Cebu

yes, mathematics makes me crazy...thanks for sharing...i have to try harder if a have to understand it altogether...


Lord De Cross profile image

Lord De Cross 5 years ago Author

Raciniwa,

You just think of it as a new language...and it will get a little clearer. You can use mnemonics as well. Good luck!

LORD


cristina327 profile image

cristina327 5 years ago from Manila

Nice hub on Trigonometry voted up and interesting. During my high school, Trigonometry is my favorite Mathematics subject. This is one Mathematics subject I used to excell as a student. I love the workings of Trigonometry. Thank you for sharing this interesting hub. I wish you a great day today. Best regards.


Lord De Cross profile image

Lord De Cross 5 years ago Author

I'm glad you liked it Cristina! Of course I will have to work on a second part. Mnemonics are essential as well. Comments from a Teacher like you are always welcomed

LORD


JT Walters profile image

JT Walters 5 years ago from Florida

Hi Lord,

I remember all of this from Trigometry but there are other equations in Calculus that are more advanced in astronimcal calculations. But I udnerstand this was waterd down for those who aren't complete Math geeks.

JT


Lord De Cross profile image

Lord De Cross 5 years ago Author

hI JT,

Yeah, this hub was made simplier..would chase away these poor kids if I break down radians and pi. Enough with these hub that was written just to let them have a quick start on the subject. Adding calculus and differentials to this simple ratios would help some kids... some of us, need that extra push to deal with this hated topic. Thanks JT!

lord


JT Walters profile image

JT Walters 5 years ago from Florida

Hate topic? Doesn't everyone adore Mathematics especially Calculus?

JT


Lord De Cross profile image

Lord De Cross 5 years ago Author

Hello JT,

Good remark, doesn't everybody loves differentials and analithical geo? Doesn't any average Joe loves this constanst written in greek words like sigma or alpha? I guess they do. Right Peter? Peter, you forgot your Laplace and fouriers Thermodinamically speaking. Lol!

Thanks JT; You still want to be a 'first lady Mom' for the White House?


JT Walters profile image

JT Walters 5 years ago from Florida

Lord,

If my son wants me to be I will be but only for him. I would much prefer to be the Mom of a drummer in a rock band but my son wants to be POTUS. So you know if duty calls, I'll have to answer.

Speaking of which I was up late last night teachng my son Euclidean geometry which also covers non-euclidean geometry. A Science every architect needs to embrace. That would be an interesting Math hub for everyone on here.

But Lord I wll leave it to you as you have done an excellent job of explaining trig to the crowd.

Back in the stone age when I attend high school everyone had to take calculus. Now it is barely even taught. Education has gone down in flames. Thank Goodness for your entlightened hubs bring Mathematics back into the lives of the people.

All My Best,

JT


Lord De Cross profile image

Lord De Cross 5 years ago Author

You said it all JT! Thanks! for your support!

BEST OF BEST REGARDS!

LORD

You would be a wonderful Potus! getting rid off all of our politicians a few blocks from Penssy Ave.


Camille Harris profile image

Camille Harris 5 years ago from SF Bay Area

Ah!!! My head hurts just looking at this Hub. I have to bone up on my trig for the GRE next year and I am NOT looking forward to it. Thankfully you've added a great explanation as well as some helpful books from Amazon ;)


Lord De Cross profile image

Lord De Cross 5 years ago Author

That was funny Camille!

working on a second part, but not to many followers are of that idea. Trig can be easier if we demistify the language. Thanks for stopping by, and if you need a personal help, just drop me a note and gladly will help.

LORD

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