Lesson 5 – Solving Linear Trigonometric Equations

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Unit 6
MHF 4U1
Lesson 5 – Solving Linear Trigonometric Equations
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The same strategy can be used to solve linear trigonometric equations when
the variable is measured in degrees or radians
Because of their periodic nature, trigonometric equations have an infinite
number of solutions, we usually get the solutions within a specific interval
Use special triangles, sketches of the graph, etc. to help solve the equations
NOT ALL TRIGONOMETIC EQUATIONS ARE IDENTITIES
Example 1: Solve the following equations.
a)
2 sin x  1  0,0  x  2
b)
3(tan x  1)  2,0  x  360
c)
2 sin x cos x  cos 2 x,0  x  2
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