1.17.08 General Trig Equations
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Trigonometric Equations
0sincossin2
2
2sin
92tan3
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Trigonometric Equations
When we solve an equation such as
we must be sure to include all possible solutions.
It may very be the case that we disregard most of these, but it is important to know what they are.
21cos2
Steps for Solving a Trigonometric Equation:
1. Isolate the trig. function
2. Use an inverse trig. function to find one solution.
3. Use the unit circle to find a second solution (usually).
4. Use the periodicity of the function to state the general solution to the equation.
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For example:
1. Isolate the trig. function.
2. Use an inverse trig. Function to find the first solution.
3. Use the unit circle to find a second solution.
4. Use the periodicity of the function to state the general solution.
2
1cos
21cos2
32
1cos 1
3
5or
3
.integer any for 23
5or 2
3nnn
1
0.8
0.6
0.4
0.2
-0.2
-0.4
-0.6
-0.8
-1
-1 -0.5 0.5 1
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Try these:
2
2sin .1
92tan3 .2
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