The minimum value of x which satisfies the inequality si n ^ - 1 x...

The minimum value of

x

which satisfies the inequality

si{n}^{- 1}x \ge co{s}^{- 1}x

\lambda

, then the value of

2\lambda

is (use

\sqrt{2} = 1.41

)

The minimum value of x which satisfies the inequality si n ^ - 1 x ≥ co s ^ - 1 x is λ , then the value of 2λ is (use 2

Correct answer

1.41

Step-by-step solution

The minimum value of x which satisfies the inequality si n ^ - 1 x ≥ co s ^ - 1 x is λ , then the value of 2λ is (use 2
Using the graphs of $si{n}^{- 1}x$ & $co{s}^{- 1}x$ , we can see that
$si{n}^{- 1}x \ge co{s}^{- 1}x$ for $x \in \left[\dfrac{1}{\sqrt{2}}, 1\right]$
So, the minimum value of $x$ is $\lambda = \dfrac{1}{\sqrt{2}}$

Hence, $2\lambda = \sqrt{2}$

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