Respuesta :

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

kingzr
Answer is of cos(A-B) is 0.86.