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Choose the correct answer
The value of is equal to
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