Question

$\bf \: if \: A \: = {tan}^{ - 1} x \: \: \: \: \: then \: \\ \bf \: what \: the \: value \: of \: sin2A$


Options are,

1. 2x/(1-x²)

2. 2x/(x²-1)

3. 2x/(1+x²)


4. Non of the above ​

Answer 1

Heya!!!

Sin 2A = 2 Tan A / ( 1 - Tan² A )

=>

Sin 2A =

2 Tan ( Tan-¹ x ) / { 1 - Tan² ( Tan-¹ x ) }

=>

Sin 2A = 2x / { 1 - x² }

Answer 2

3 is the best answer to the question please mark me down as a brain list and please follow up with me