Find the numerical value of sin (a) cos (a) if sin (a) - cos (a) = 0.6

The value of sin (a) cos (a) = 0.32

Step-by-step explanation:

Step 1: Given details are sin (a) - cos (a) = 0.6

Step 2: Square the given equation on both sides.

⇒ (sin (a) - cos (a)) ² = (0.6) ²

⇒ sin²a + cos²a - 2 sin (a) cos (a) = 0.36

⇒ 1 - 2 sin (a) cos (a) = 0.36 since sin²a + cos²a=1

⇒ - 2 sin (a) cos (a) = - 0.64

⇒ 2 sin (a) cos (a) = 0.64

⇒ sin (a) cos (a) = 0.32