Tan -1tan5 -6-cos -1cos13 -6

Tan^ 1 ( tan 5 π/6 )+cos^ 1 ( cos 13 π/6 ) [cos^ 1(cos x)=x and tan^ 1(tan x)=x] = 5π/6 + 13 π/6 = 18 π/6 = 3π ...

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Sign of Trigonometric Ratios in Different Quadrants

tan -1tan5 π/...

Question

$t a n^{- 1} (t a n \frac{5 π}{6}) + c o s^{- 1} (c o s \frac{13 π}{6})$

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Solution

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{tan}^{- 1} (tan \frac{5 π}{6}) + {cos}^{- 1} (cos \frac{13 π}{6})

{cos}^{- 1} (cos \frac{13 π}{6}) .

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Find the value of following function;

$c o s^{- 1} (c o s \frac{13 π}{6})$

{cos}^{- 1} cos \frac{13 π}{2} + {tan}^{- 1} tan \frac{13 π}{5} + {sec}^{- 1} sec \frac{13 π}{3} + {cot}^{- 1} cot \frac{17 π}{2} + {sin}^{- 1} sin \frac{33 π}{5}

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