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.
|Geometry||Define trigonometric ratios and solve problems involving right triangles|
Right Triangles and Trigonometry
Similarity, right triangles, trigonometry, and dimensions
|Right Triangles and Trigonometry||Basic Trig Ratios|
Law of Sines and Law of Cosines
|Similarity, Right Triangles, and Trigonometry||Define trigonometric ratios and solve right triangle problems|
|Triangles||Theorems About Triangles|
|Trigonometric Functions||Basic Trig Functions|
… to their intolerance of small, yippy dogs.
Fortunately, The Wizard of Sohcahtoa averts a dognapping just in time
with an explanation of Sohcahtoa’s origins.
It turns out SOHCAHTOA stands for the three major trig functions, sine, cosine, and tangent.
Sine equals the opposite over the hypotenuse.
Cosine equals the adjacent over the hypotenuse.
And tangent equals the opposite over the adjacent.
Together, the abbreviations spell Sohcahtoa.
Let’s try an example…
Dorothy comes across a triangle in the land of SOHCAHTOA.
In order to keep going, she needs to solve for the sine, cosine, and tangent of the angle.
Sine equals opposite over hypotenuse, so sine of the angle equals four over five, or four-fifths.
Cosine is adjacent over hypotenuse…so three-fifths.
Finally tangent is opposite over adjacent, so four-thirds.
Looks like Toto will live to see another day outside the dog pound.
Because we all know what happens there.
Yes, Toto. Bacon and treats. Bacon and treats.