The value of sin (2 tan–1(0.75)) is equal to ______.

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KollegeApply · Accepted Answer

The value of sin (2 tan–1(0.75)) is equal to 0.96. Explanation: We have, sin [2 tan–1(0.75))] = sin(2 tan^-1 $\frac{3}{4}$) = `sin(sin^-1 (2* $\frac{3}{4}$)/(1 + $\frac{9}{16}$)) ......(because 2 tan^-1x = sin^-1 (2x)/(1 + x^2)) = sin(sin^-1 ($\frac{3}{2}$)/($\frac{25}{16}$)) = sin(sin^-1 $\frac{24}{25}$) = $\frac{24}{25}$` = 0.96

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