Tan-112 - tan-113 equals

The correct option is C π4 Let #160; tan^ 112=x ⇒tan x=12 Let #160; tan^ 113=y ⇒tan y=13 tan (x+y)=tan x + tan y1 tan x.tan y ...

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Basic Inverse Trigonometric Functions

tan-112 + tan...

Question

${tan}^{- 1} \frac{1}{2} + {tan}^{- 1} \frac{1}{3}$ equals

- \frac{π}{4}

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\frac{π}{6}

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\frac{π}{4}

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None of these

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{sin}^{- 1} \frac{4}{5} + 2 {tan}^{- 1} \frac{1}{3} = \frac{π}{2}

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2 t a n^{- 1} (\frac{1}{3}) + t a n^{- 1} (\frac{1}{7}) = \frac{π}{4}

{tan}^{- 1} (\frac{1}{4}) + 2 {tan}^{- 1} (\frac{1}{5}) + {tan}^{- 1} (\frac{1}{6}) + {tan}^{- 1} (\frac{1}{x}) = \frac{π}{4}

{tan}^{- 1} (\frac{1}{2}) + {tan}^{- 1} (\frac{1}{3}) = \frac{π}{4}

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