3 1 2 2 2 3 π 120 3 1 2 2 3 4 π 135 2 2 2 2 5 6 π

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3 1 , 2 2 - 2 3 π 120° 3 1 , 2 2 - 3 4 π 135° 2 2 , 2 2 - 5 6 π 150° 3 1 , 2 2 - 210° 7 6 π 3 1 , 2 2 - - 225° 5 4 π 2 2 , 2 2 - - 240° 4 3 π 3 1 , 2 2 - - Everything shows up on the next click.
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If you can find values, you can make a graph! Sketchpad
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Summary from Sketchpad • With no restrictions, inverses of sin, cos and tangent  are not functions. • With restrictions: • Arcsin(x) =  θ   • Domain: {x|-1   x   1} Range:{ θ | - π / 2     θ     π / 2   } • Arccos(x) =  θ • Domain: {x|-1   x   1} • Range: { θ |0      θ     π   } • Arctan(x) =  θ • Domain: {x|x  є   R } Range: :{ θ | - π / 2     θ     π / 2   }
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So what? Q: What are you supposed to get out of knowing and understanding these domain restrictions? A: I hate answering questions on powerpoint slides. You give me the answer.
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Compositions Y = sin x is the inverse of y = arcsin(x).
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