In our last class on Friday we learned some trigonometric equations.
The General Solutions of Trigonometric Equations are...
- Not bound by an interval
- Have unlimited coterminal answers
- To each solution for sinΘ or cosΘ add 360°k for degrees or 2kπ for radians
- To each solution for tanΘ add 180°k for degrees or kπ for radians
- Include with every answer: where k
- k accounts for all positive an negative coterminal integers
We learned the following equations:
secΘ=
secΘ=45°+360°
Θ = 360°-45°=315°+360°
where kEI
Θ=45°+360°k,315°+360°
Θ=π/4+2kπ,7π/4+2kπ whera kEI
tanΘ=1/√3
tanΘ=30+180k
Q4=30+180k=210+180 where kEI
[π/6+2πk] [7π/6+2πk]
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