The value of cos [ 2 1 cos − 1 ( cos ( sin − 1 8 63 ) ) ] is −

The given trigonometric ratio = cos [ 2 1 ( cos ( cos − 1 8 1 ) ) ] = cos ( 2 1 cos − 1 8 1 ) = 2 1 + c o s ( c o s − 1 8 1 ) = 4 3

Mathematics - Inverse Trigonometric Function Question with Solution | TestHub

MathematicsInverse Trigonometric FunctionGeneral ( General, Domain, Range & Graph)Medium2 minPYQ_2013

MathematicsMediumsingle choice

The value of $cos [\frac{1}{2} cos^{- 1} (cos (sin^{- 1} \frac{63}{8}))]$ is $-$

Options:

Answer:

Solution:

The given trigonometric ratio $= cos [\frac{1}{2} (cos (cos^{- 1} \frac{1}{8}))] = cos (\frac{1}{2} cos^{- 1} \frac{1}{8}) = \frac{1 + c o s ( c o s ^{- 1} \frac{1}{8} )}{2} = \frac{3}{4}$

Stream:BITSATSubject:MathematicsTopic:Inverse Trigonometric FunctionSubtopic:General ( General, Domain, Range & Graph)

⏱ 2mℹ️ Source: PYQ_2013

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