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Mathematics - Inverse Trigonometric Function Question with Solution | TestHub

MathematicsInverse Trigonometric FunctionGeneral ( General, Domain, Range & Graph)Easy2 minQB

MathematicsEasysingle choice

If $cos^{- 1} x + cos^{- 1} y + cos^{- 1} z = 3 π$ then $x^{2} + y^{2} + z^{2} - x y - yz - z x$ equals to

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Answer:

Solution:

Since maximum value of $cos^{- 1} x$ is $π$

Therefore, $cos^{- 1} x + cos^{- 1} y + cos^{- 1} z = 3 π \Rightarrow cos^{- 1} x = cos^{- 1} y = cos^{- 1} z = π$ $\Rightarrow x = y = z = - 1 \Rightarrow x^{2} + y^{2} + z^{2} - x y - yz - z x = 0$

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

⏱ 2mℹ️ Source: QB

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