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Oblique Triangles: Law of Sines
Introduction to Trig Functions
Domain, Range, and Period of Trig Functions
Graphs of Trigonometric Functions
Radians & Degrees
Trig Even-Odd Identities
Trig Reciprocal Identities
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Trig Product to Sum Identities
Trig Sum & Difference Identities
Oblique Triangles: Law of Cosines
Oblique Triangles: Law of Sines
Polar Coordinate System
Polar Equations & Graphs
De Moivre's Theorem
Oblique Triangles: Law of Sines
The
law of sines
relates sides of a triangle to angles opposite them.
Referencing the above figure, the law of sines may be written as:
The law of sines should be used when:
Seeking side opposite second given angle upon knolwedge of two angles and side opposite one of them
Seeking third angle followed by remaining sides upon knolwedge of two angles and included side
Seeking angle opposite second given side upon knolwedge of two sides and angle opposite one of them
Example
:
For
a
= 5,
b
= 6, and α
= 30
^{o}
in figure below, determine the angle β.
Solution
:
Related Topic
:
Law of Cosines