Mathematics - Inverse Trigonometric Functions Question with Solution | TestHub

MathematicsInverse Trigonometric FunctionsT inverse T propertyMedium2 minPYQ_2021

MathematicsMediumsingle choice

$\cos^{- 1} (\cos (- 5)) + \sin^{- 1} (\sin (6)) - \tan^{- 1} (\tan (12))$ is equal to :
(The inverse trigonometric functions take the principal values)

Options:

Answer:

Solution:

$\cos^{- 1} (\cos (- 5)) + \sin^{- 1} (\sin (6) - \tan^{- 1} (\tan (12))$

$= 2 π - 5 + (- 2 π + 6) - (12 - 4 π)$

$= 4 π - 11$

Stream:JEESubject:MathematicsTopic:Inverse Trigonometric FunctionsSubtopic:T inverse T property

⏱ 2mℹ️ Source: PYQ_2021

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