Question

If tan A =1, then 2 sin A cos A =? ​

Answer 1

$Given \: Question \: is \\ \\ \tan(a) = 1 \: \: \: \: find \: \: \: 2 \times \sin(a) \times \cos(a) \\ \\ Answer \\ \\ \: \tan(a) = \tan(45) \: \: \: (becoz \: \: \tan(45) = 1) \\ \\ a = 45 \\ \\ = > \: \: 2 \times \sin(45) \times \cos(45) \\ \\ = > \: \: 2 \times \frac{1}{ \sqrt{2} } \times \frac{1}{ \sqrt{2} } \: \: \: \: \: (becoz \: \: \sin(45) = \cos(45) = \frac{1}{ \sqrt{2} } ) \\ \\ = > \frac{2}{( \sqrt{2}) {}^{2} } \\ \\ = \frac{2}{2} \\ \\ = 1 \\ \\ Therefore \: \: \: \: 2 \times \sin(a) \times \cos(a) = 1$