id: 05945691
dt: j
an: 2011e.00630
au: Karjanto, Natanael
ti: Mollweide’s formula in teaching trigonometry.
so: Teach. Math. Appl. 30, No. 2, 70-74 (2011).
py: 2011
pu: Oxford University Press, Oxford; Institute of Mathematics and its
Applications (IMA), Southend-on-sea, Essex
la: EN
cc: G60
ut: geometric concepts; trigonometry; trigonometric functions; course
descriptions
ci:
li: doi:10.1093/teamat/hrr008
ab: Summary: Trigonometry is one of the topics in mathematics that the students
in both high school and pre-undergraduate levels need to learn.
Generally, the topic covers trigonometric functions, trigonometric
equations, trigonometric identities and solving oblique triangles using
the Laws of Sines and Cosines. However, when solving the oblique
triangles, Mollweide’s formula is most likely to be omitted from the
discussion. Mollweide’s formula‒which exhibits a cyclical
nature‒is particularly useful in checking one’s result after
solving an oblique triangle since all six components of the triangle
are involved. It is interesting to note that proving Mollweide’s
formula can be performed without words. Furthermore, the Law of
Tangents can be derived straightforwardly from this equation. In this
article, we revisit Mollweide’s formula and provide classroom
examples where this equation comes into alive. In addition, we suggest
that this seemingly less-known equation is to be included in the
mathematics syllabus on the topic of Trigonometry. (ERIC)
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