Transcript Trigonometry

Trigonometry
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TRIGONOMETRY
Trigonometry: An Introduction
• Trigonometry (from the Greek
Trigona = three angles and metron
= measure [1]) is a branch of
mathematics which deals with
triangles, particularly triangles in a
plane where one angle of the
triangle is 90 degrees (right angled
triangles).
• Trigonometry has important
applications in many branches of
pure mathematics as well as of
applied mathematics and,
consequently, much of science.
• The Canadarm robotic manipulator on the
International Space Station is operated by
controlling the angles of its joints. Calculating the
final position of the astronaut at the end of the arm
requires repeated use of the trigonometric
functions of those angles.
• Trigonometry is a division of
mathematics that deals with the
study of angles.
• Based on the angles created by
triangles and circles, a series of
properties were developed that
have had an enormous impact
on all disciplines of engineering
• Trig is second only to Calculus
for applications in problem
solving
• We will break our study into 2
sections: Triangles and Circles
• We will consider the ratios
created by corresponding sides
of similar triangles