chloeholmes chloeholmes
  • 16-02-2020
  • Mathematics
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Find the EXACT value of sin(A−B) if sin A = 15/17 ,cos A = 8/17 , sin B = 3/5 , and cos B = 4/5. sin(A−B)=

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bhuvna789456
bhuvna789456 bhuvna789456
  • 16-02-2020

Value of sin(A - B) is 0.48

Step-by-step explanation:

  • Step 1: Given details are sin A = 15/17, cos A = 8/17, sin B = 3/5, cos B = 4/5. Formula for sin(A - B) = sin A cos B - cos A sin B
  • Step 2: Find sin(A - B) using the formula.

⇒ sin(A - B) = (15/17 × 4/5) - (8/17 × 3/5)

⇒ sin(A - B) = 60/75 - 24/75 = 36/75 = 0.48

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