chloeholmes chloeholmes
  • 16-02-2020
  • Mathematics
contestada

Find the EXACT value of cos(A−B) if sin A = 12/13, cos A = 5/13, sin B = 3/5, and cos B =
4/5. cos(A−B)=

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bhuvna789456
bhuvna789456 bhuvna789456
  • 16-02-2020

The value of cos (A - B) is 0.86

Step-by-step explanation:

  • Step 1: Given sin A = 12/13, cos A = 5/13, sin B = 3/5 and cos B = 4/5
  • Step 2: Formula for cos(A - B) = cos A cos B - sin A sin B

⇒ cos (A - B) = 5/13 × 4/5 + 12/13 × 3/5

⇒ cos (A - B) = 20/65 + 36/65 = 56/65 = 0.86

Answer Link
kingzr
kingzr kingzr
  • 16-02-2020
Answer is of cos(A-B) is 0.86.
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