around 500 B.C. Some rules
of his number-worshipping
group included prohibitions
against eating beans and
wearing wool.
Now for the trig functions. Let’s consider angle A in the right triangle pictured on
the previous page. The sine, cosine, and tangent of this angle are defined like this:
By opposite we mean the length of the side that’s opposite the angle, and by
adjacent we mean the length of the side that’s adjacent to the angle. The same
definitions, in words, can be used for angle B as follows:
Notice that sin A = cos B and cos A = sin B.
SOHCAHTOA
Here’s a word you should remember on test day so you can keep clear on
the definitions of sin θ, cos θ, and tan θ: SOHCAHTOA. This isn’t some
magic word to chant over your test booklet; it simply helps you remember
that
Sine = Opposite side over Hypotenuse (S = )
Cosine = Adjacent side over Hypotenuse (C = )