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) =

Question

Mathematics

Anabella Fisher

9 March, 08:36

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) =

+3

Answers (2)

Know the Answer?

Harley Mcdonald · Answer 1

Harley Mcdonald 9 March, 11:35

0

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

Addyson Craig · Answer 2

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

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) =

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) =