The principal value of tan - 1 c o t 43 π 4 is

- π 2 < tan - 1 x < π 2 c o t 4 3 π 4 = c o t 1 0 π + 3 π 4 = c o t 3 π 4 = - 1 tan - 1 c o t 4 3 π 4 = tan - 1 - 1 = - π 4

Mathematics - Inverse Trigonometric Functions Question with Solution | TestHub

MathematicsInverse Trigonometric FunctionsGeneral ( General, Domain, Range & Graph)Easy2 minPYQ_2014

MathematicsEasysingle choice

The principal value of $\tan^{- 1} (c o t \frac{43 π}{4})$ is

Answer:

Solution:

$\frac{- π}{2} < \tan^{- 1} x < \frac{π}{2}$

$c o t (\frac{43 π}{4}) = c o t (10 π + \frac{3 π}{4})$

$= c o t \frac{3 π}{4}$

$= - 1$

$\tan^{- 1} c o t (\frac{43 π}{4}) = \tan^{- 1} (- 1)$

$= - \frac{π}{4}$

Stream:JEESubject:MathematicsTopic:Inverse Trigonometric FunctionsSubtopic:General ( General, Domain, Range & Graph)

⏱ 2mℹ️ Source: PYQ_2014

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