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Inverse Trigonometric Functions

Question

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Evaluate $open vertical bar table row straight x cell straight x plus 1 end cell row cell straight x minus 1 end cell straight x end table close vertical bar$

Solution

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increment equals open vertical bar table row straight x cell straight x plus 1 end cell row cell straight x minus 1 end cell straight x end table close vertical bar

=(x) (x) - (x + 1) (x - 1) (x - 1) = x² - (x²- 1) = x² - x² + 1 = 1

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