What is the value of the expression 100(sin 15° cos 15°)?

100(sin 15° cos 15°)

= 50 ( 2. sin 15°. cos 15°)

{ we know, 2sinA .cosA = sin2A }

= 50 ( sin (2 ×15°) )

= 50 × \(\frac{1}{2}\)      { sin 30° = \(\frac{1}{2}\)  }

= 25