If sin^-1 ⁡x

Question

If sin^-1 ⁡x< cos^-1 ⁡x, then

Accepted Answer

Correct answer: A. (a) sin^-1 ⁡x< cos^-1 ⁡x ⇒ sin^-1 ⁡x< 2- sin^-1 ⁡x( ∵ sin^-1 ⁡ (x )+ cos^-1 ⁡ (x )= 2) ⇒2 sin^-1 ⁡x< 2 ⇒ sin^-1 ⁡x< 4 ⇒x< sin ⁡ 4 ⇒x< 1 2 For sin^-1 ⁡ (x ) ;1 x 1 Then -1 x< 1 2

$If sin^{- 1} x < cos^{- 1} x, then$

Solution

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