Trigonometry (1)

# Trigonometry (1) - TRI GONOMETRY is a branch of Ge e that...

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TRI GONOMETRY is a branch of Geometry that deals with TRI ANGLES Trigonometry can be used to figure out unknown measurements of parts of triangles Why should we learn about Trigonometry?

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Figuring out the unknown measurements of ALL of the parts of a triangle is called Solving a Triangle’ . Usually , you can ‘solve a triangle’ if you know the measures of three parts of the triangle.
We will be learning three applications of trigonometry: The three ‘trig functions’: Sine, Cosine, and Tangent The ‘Law of Sines’ The ‘Law of Cosines’

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Which of the three applications is to be used depends on what measurements of a triangle are known: 12 18 ? 25° ? 14 11 19 55° 45° 23 16
The three ‘trig functions’: (Sine, Cosine, and Tangent) only apply to RIGHT triangles The ‘Law of Sines’ and the ‘Law of Cosines’ apply to ALL triangles

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Which of the three applications is to be used depends on what measurements of a triangle are known: 12” 18” ? Pythagorean Theorem Since you know two sides of a right triangle, and you want to figure out the third side, you use …
Which of the three applications is to be used depends on what measurements of a triangle are known: 25° ? 16” Trig functions Since you know three pieces of information ( one is that it is a right triangle)

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Which of the three applications is to be used depends on what measurements of a triangle are known: 14” 11” 55° Law of Sines Since you know one opposite side / angle pair and something else
Which of the three applications is to be used depends on what measurements of a triangle are known: 19” 45° 23” Law of Cosines Since you know a ‘complete corner’ : two sides and the included angle

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The three 'trig functions' (sine, cosine, and
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## This note was uploaded on 01/12/2011 for the course MAT117 MAT 117 taught by Professor Ranjitrebello during the Spring '09 term at University of Phoenix.

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Trigonometry (1) - TRI GONOMETRY is a branch of Ge e that...

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