Question

If sin A = 4/5 and cos B = 12/37 and angles A and B are in Quadrant I, find the value of tan(A - B)

Answer 1

To find the value of tan(A-B), use the trigonometric identity: tan(A-B) = (tanA - tanB) / (1 + tanA * tanB).

Step-by-step explanation:

The trigonometric identity, tan(A-B) = (tanA - tanB) / (1 + tanA * tanB), must be used to get the value of tan(A-B). Given that sinA = 4/5 and cosB = 12/37, we can find the values of tanA and tanB using the relationships: tanA = sinA / cosA and tanB = sinB / cosB. Once we have the values of tanA and tanB, we can substitute them into the trigonometric identity to find the value of tan(A-B).