Write the principal value of tan- 13- -13

We know tan 1x+cot 1x= #960;2 #8756;tan 13+cot 13= #960;2 ...

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Improper Integrals

Write the pri...

Question

Write the principal value of $\tan^{- 1} \sqrt{3} + \cot^{- 1} \sqrt{3}$

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\cot^{- 1} (- \sqrt{3})

\cot^{- 1} (\sqrt{3})

\cot^{- 1} (- \frac{1}{\sqrt{3}})

\cot^{- 1} (\tan \frac{3 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

{s i n}^{- 1} \frac{12}{13} + {c o s}^{- 1} \frac{4}{5} + {t a n}^{- 1} \frac{63}{16} = π

2 {c o s}^{- 1} \frac{3}{\sqrt{13}} + {c o t}^{- 1} \frac{16}{63} + \frac{1}{2} {c o s}^{- 1} \frac{7}{25} = π

\tan^{- 1} (\frac{1}{\sqrt{3}})

\tan^{- 1} (- \frac{1}{\sqrt{3}})

\tan^{- 1} (\cos \frac{π}{2})

\tan^{- 1} (2 \cos \frac{2 π}{3})

t a n [s i n^{- 1} (\frac{3}{5}) + c o s^{- 1} (\frac{3}{\sqrt{13}})]

cos [{sin}^{- 1} (\frac{3}{5})]

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