Mathematics - Inverse Trigonometric Functions Question with Solution | TestHub

MathematicsInverse Trigonometric FunctionsT inverse T propertyEasy2 minPYQ_2019

MathematicsEasysingle choice

If $x = {s i n}^{- 1} (\sin 10)$ and $y = {c o s}^{- 1} (\cos 10),$ then $y - x$ is equal to:

Options:

Answer:

Solution:

From the graph of $y = \sin^{- 1} (\sin x),$ it is clear that $\sin^{- 1} (\sin 10) = 3 π - 10$

From the graph of $y = \cos^{- 1} (\cos x)$

It is clear that $\cos^{- 1} (\cos 10) = 4 π - 10$

Hence $y - x = (4 π - 10) - (3 π - 10) = π$

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

⏱ 2mℹ️ Source: PYQ_2019

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