Question

1. 3sin:' x = sin' (3x - 4x3)​

Answer 1

★Correct Question★

${3} \sin ^{ - 1} x = \sin {}^{ - 1} (3x - 4 {x}^{3} )$

★SolutiOn★

Let x = Sin ∅

Then,

$\sin {}^{ - 1} = ∅$

We have,RHS,

$\sin {}^{ - 1} (3x - 4 {x}^{3} )$

$= \sin {}^{ - 1} (3 \sin ∅- 4 \sin∅)$

$= \sin {}^{ - 1} \sin \: 3∅</p><p>$

$= 3∅$

$= 3 \sin {}^{ - 1} x = LHS$

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