Find the value of tan- sin - 1 1-2 - cos sin - 1 1-2 - tan - 1 -3- - cos ec tan - 14-3

⇒ tan[ sin ^ 1 ( 1 √( 2 ) #160; )+ (sin ^ 1 1 2 )+tan ^ 1 √( 3 ) #160; #160; #160; #160; #160; ] #160; cos ec ...

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Sin(A+B)Sin(A-B)

Find the valu...

Question

Find the value of $tan [{sin}^{- 1} (\frac{1}{\sqrt{2}}) + cos ({sin}^{- 1} (\frac{1}{2}) + {tan}^{- 1} (\sqrt{3}))] - cos e c ({tan}^{- 1} \frac{4}{3})$

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Find the value of $t a n^{- 1} (- \frac{1}{\sqrt{3}}) + c o t^{- 1} (\frac{1}{\sqrt{3}}) + t a n^{- 1} [s i n (\frac{- π}{2})] .$

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

{tan}^{- 1} \frac{1}{7} + 2 {tan}^{- 1} \frac{1}{3} = \frac{π}{4}

{tan}^{- 1} \frac{1}{5} + {tan}^{- 1} \frac{1}{7} + {tan}^{- 1} \frac{1}{3} + {tan}^{- 1} \frac{1}{8} = \frac{π}{4}

{s i n}^{- 1} x, {c o s}^{- 1} x, {t a n}^{- 1} x

{t a n}^{- 1} x + {t a n}^{- 1} y = {t a n}^{- 1} \frac{x + y}{1 - x y}

x y < 1

π + {t a n}^{- 1} \frac{x + y}{1 - x y}

x y > 1

0 \leq x \leq \frac{1}{2}

t a n [{s i n}^{- 1} {\frac{x}{\sqrt{2}} + \frac{\sqrt{1 - x^{2}}}{\sqrt{2}}} - {s i n}^{- 1} x]

α = {s i n}^{- 1} \frac{4}{5} + {s i n}^{- 1} \frac{1}{3}

β = {c o s}^{- 1} \frac{4}{5} + {c o s}^{- 1} \frac{1}{3}

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

{tan}^{- 1} \sqrt{3} + {tan}^{- 1} 1 = - {tan}^{- 1} (2 + \sqrt{3})

t a n^{- 1} \frac{1}{2} + t a n^{- 1} \frac{2}{11} + t a n^{- 1} \frac{4}{3} = \frac{π}{2}

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