Expression 19: arc cosine left parenthesis, cos left parenthesis, "x" , right parenthesis , right parenthesis plus 1 half arc sine left parenthesis, sin left parenthesis, 2 "x" , right parenthesis , right parenthesis Has graph. To audio trace, press ALT+T.arccoscosx+12arcsinsin2x
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Expression 20: 2 "x" minus 4 "a" pi left brace, 2 "a" pi less than or equal to "x" less than or equal to StartFraction, pi Over 4 , EndFraction plus 2 "a" pi , right brace Has graph. To audio trace, press ALT+T.2x−4aπ2aπ≤x≤π4+2aπ
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Expression 21: StartFraction, pi Over 2 , EndFraction left brace, StartFraction, pi Over 4 , EndFraction plus 2 "a" pi less than or equal to "x" less than or equal to StartFraction, 3 pi Over 4 , EndFraction plus 2 "a" pi , right brace Has graph. To audio trace, press ALT+T.π2π4+2aπ≤x≤3π4+2aπ
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Expression 22: 2 "x" minus pi minus 4 "a" pi left brace, StartFraction, 3 pi Over 4 , EndFraction plus 2 "a" pi less than or equal to "x" less than or equal to pi plus 2 "a" pi , right brace Has graph. To audio trace, press ALT+T.2x−π−4aπ3π4+2aπ≤x≤π+2aπ
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Expression 23: pi left brace, pi plus 2 "a" pi less than or equal to "x" less than or equal to StartFraction, 5 pi Over 4 , EndFraction plus 2 "a" pi , right brace Has graph. To audio trace, press ALT+T.ππ+2aπ≤x≤5π4+2aπ
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Expression 24: negative 2 "x" plus StartFraction, 7 pi Over 2 , EndFraction plus 4 "a" pi left brace, StartFraction, 5 pi Over 4 , EndFraction plus 2 "a" pi less than or equal to "x" less than or equal to StartFraction, 7 pi Over 4 , EndFraction plus 2 "a" pi , right brace Has graph. To audio trace, press ALT+T.−2x+7π2+4aπ5π4+2aπ≤x≤7π4+2aπ
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Expression 25: 0 left brace, StartFraction, 7 pi Over 4 , EndFraction plus 2 "a" pi less than or equal to "x" less than or equal to 2 "a" pi plus 2 pi , right brace Has graph. To audio trace, press ALT+T.07π4+2aπ≤x≤2aπ+2π