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ACT Math Pre-Algebra: Drill 3, Problem 4. Find the solution to this equation.
SOHCAHTOA 4616 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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