Trig or Treat MMC 20..
Transcript Trig or Treat MMC 20..
Trig or Treat
What Trigonometry should students know
What Trigonometry should be taught?
Notation: sides a, b, c; angles A, B, C;
At the most elementary –
Right Triangle Trigonometry
They should know:
Definitions of the trig functions and their
inverses from both similar triangles and
Solve triangles: Law of Sines, Cosines
• Values: Degrees and Radians
• 30, 45, 60, 90 and rotations
Sum and Difference
In general, students learn
mathematics for a variety of
The topics chosen should emphasize
all these reasons. Some properties are
needed for future study, appreciation of
the history of mathematics,
comprehension of the uses in real
world applications, logical sequencing
of thoughts, and problem solving.
Compute values for the 36 degree angle.
Using it we can then compute the values for
all angles that are multiples of 3 degrees.
Many other identities have been
developed to aid with computation
But now that we have and can use
calculators and computers, many of these
have been virtually rendered archaic.
However, one that I like that is rarely seen,
but potentially useful:
a = b sin(C) + c sin(B)
which follows from the Law of Sines and
the Angle Sum Formula
From this identity, the Law of Cosines
The proof is left for you as an exercise.
Now for a
Lisa and Michael