1.

1. 3sin:' x = sin' (3x - 4x3)​

Answer»

★Correct Question★

{3} \<klux>SIN</klux> ^{ - 1} <klux>X</klux> = \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∅

= 3∅

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

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