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Tanxtanytanx + yxytan-1x+tan-1y=tan-1x + y1-xy is true for ____________. -

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Question

`"tan"^-1 "x" + "tan"^-1 "y" = "tan"^-1 ("x + y")/(1 - "xy")` is true for ____________.

Options

  • `"x, y" in "R"`

  • `"IxI" > 1, "IyI" > 1`

  • `"IxI" < 1, "IyI" < 1`

  • `"xy" < 1`

MCQ
Fill in the Blanks

Solution

`"tan"^-1 "x" + "tan"^-1 "y" = "tan"^-1 ("x + y")/(1 - "xy")` is true for `underline("xy" < 1)`.

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Inverse Trigonometric Functions - Graphs of Inverse Trigonometric Functions
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