trig_m8_handouts

trig_m8_handouts - MAC 1114 Module 8 Applications of...

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1 Rev.S08 MAC 1114 Module 8 Applications of Trigonometry 2 Rev.S08 Learning Objectives Upon completing this module, you should be able to: 1. Solve an oblique triangle using the Law of Sines. 2. Solve an oblique triangle using the Law of Cosines. 3. Find area of triangles. ht p:/ faculty.valenciacc.edu/ashaw/ Click link to download other modules. 3 Rev.S08 Applications of Trigonometry ht p:/ faculty.valenciacc.edu/ashaw/ Click link to download other modules. - Oblique Triangles and the Law of Sines - Oblique Triangles and the Law of Sines - The Law of Cosines - The Law of Cosines There are two major topics in this module: The law of sines and the law of cosines are commonly used to solve triangles without right angles, which is known as oblique triangles.
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2 4 Rev.S08 A Quick Review on Types of Triangles: Angles ht p:/ faculty.valenciacc.edu/ashaw/ Click link to download other modules. Recall: The sum of the measures of the angles of any triangle is 180 ° . How many triangles above are oblique triangles ? 5 Rev.S08 A Quick Review on Types of Triangles: Sides ht p:/ faculty.valenciacc.edu/ashaw/ Click link to download other modules. Recall: In any triangle, the sum of the lengths of any two sides must be greater than the length of the remaining side. 6 Rev.S08 A Quick Review on the Conditions for Similar Triangles ht p:/ faculty.valenciacc.edu/ashaw/ Click link to download other modules. Corresponding angles must have the same measure . Corresponding sides must be proportional . (That is, their ratios must be equal.)
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3 7 Rev.S08 A Quick Review on Finding Angle Measures ht p:/ faculty.valenciacc.edu/ashaw/ Click link to download other modules. Triangles ABC and DEF are similar . Find the measures of angles D and E . Since the triangles are similar, corresponding angles have the same measure . Angle D corresponds to angle A which = 35 ° Angle E corresponds to angle B which = 33 ° A C B F E D 35 ° 112 ° 33 ° 112 ° 8 Rev.S08 A Quick Review on Finding Side Lengths ht p:/ faculty.valenciacc.edu/ashaw/ Click link to download other modules. Triangles ABC and DEF are similar . Find the lengths of the unknown sides in triangle DEF. A
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This note was uploaded on 10/18/2011 for the course MAC 1114 taught by Professor Russel during the Summer '08 term at Valencia.

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trig_m8_handouts - MAC 1114 Module 8 Applications of...

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