Mathematics - Inverse Trigonometric Functions Question with Solution | TestHub

MathematicsInverse Trigonometric FunctionsProperties of ITFMedium2 minQB

MathematicsMediumsingle choice

Let x= $sin (2 tan^{- 1} 2)$ and y= $sin ((1/2) tan^{- 1} (4/3))$ . Which identity holds?

Answer:

Solution:

x=4/5; $tan^{- 1} (4/3)$ has cosine 3/5, so $y^{2} = (1 - 3/5) /2 = 1/5 = 1 - x$ .

Stream:JEESubject:MathematicsTopic:Inverse Trigonometric FunctionsSubtopic:Properties of ITF

⏱ 2mℹ️ Source: QB

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