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22 September, 02:56

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

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  1. 22 September, 03:09
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    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
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