Answer :

We need to find the value of sin (2(tan-1 0.75)).

We can re-write the equation,


sin (2(tan-1 0.75)) = sin (2 tan-1 0.75)


Using the property of inverse trigonometry,



Replace x by 0.75.



So,


sin (2(tan-1 0.75)) = sin (2 tan-1 0.75)





sin (2(tan-1 0.75)) = sin (sin-1 0.96)


Using the property of inverse trigonometry,


sin(sin-1 A) = A


sin (2(tan-1 0.75)) = 0.96

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