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Trig Equations
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Solving equations involving trigonometric functions and understanding solution domains
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Solving trig equations algebraically in specific domain
AHL AI 3.8
When we have a trig equation where the argument to the trig function is of the form ax+b, we need to find the domain of ax+b using the domain of x. For example, if 0≤x<2π and we have sin(2x+2π)=1, then
2⋅0+2π≤2x+2π<2⋅2π+2π
therefore
2π≤2x+2π<29π
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