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

Wilkinson

8 October, 08:42

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) =

+2

Answers (2)

Know the Answer?

Susan Haas · Answer 1

Susan Haas 8 October, 10:43

0

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

Jaqueline Estes · 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) =