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Law of Sines and Law of Cosines Videos 5 videos
Sine is the opposite over the hypotenuse; cosine is the adjacent over the hypotenuse; and tangent is the opposite side over the adjacent side....
Shmoop saw the sine. Want to pull an Oliver Twist and ask us for more? We've gotcha covered. Head over to /video/math/ for more mathy goodness. No...
The law of sines is all about proportions, so make sure to keep yours in order.
SOHCAHTOA 4614 Views
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Description:
Sine is the opposite over the hypotenuse; cosine is the adjacent over the hypotenuse; and tangent is the opposite side over the adjacent side. Aha, now you see why there's an abbreviation.
Transcript
- 00:04
SOHCAHTOA, a la Shmoop.
- 00:07
Dorothy took the wrong turn on the yellow brick road and has ended up in the land of Sohcahtoa…
- 00:12
… where everything is abbreviated…
- 00:14
…from the meaning of the word Sohcahtoa…
- 00:16
… to the Sohcahtoan’s height…
Full Transcript
- 00:17
… to their intolerance of small, yippy dogs.
- 00:23
Fortunately, The Wizard of Sohcahtoa averts a dognapping just in time
- 00:27
with an explanation of Sohcahtoa’s origins.
- 00:30
It turns out SOHCAHTOA stands for the three major trig functions, sine, cosine, and tangent.
- 00:44
Sine equals the opposite over the hypotenuse.
- 00:48
Cosine equals the adjacent over the hypotenuse.
- 00:53
And tangent equals the opposite over the adjacent.
- 00:59
Together, the abbreviations spell Sohcahtoa.
- 01:04
Let’s try an example…
- 01:06
Dorothy comes across a triangle in the land of SOHCAHTOA.
- 01:09
In order to keep going, she needs to solve for the sine, cosine, and tangent of the angle.
- 01:14
Sine equals opposite over hypotenuse, so sine of the angle equals four over five, or four-fifths.
- 01:24
Cosine is adjacent over hypotenuse…so three-fifths.
- 01:28
Finally tangent is opposite over adjacent, so four-thirds.
- 01:36
Looks like Toto will live to see another day outside the dog pound.
- 01:39
Because we all know what happens there.
- 01:41
Yes, Toto. Bacon and treats. Bacon and treats.
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