Calculus Question

Question

Use the given data to find the values of the tangent of (A + B) and of (A – B). Give the quadrant in which each of the angles (A + B) and (A – B) terminates. Angle A in Quadrant II, tan A = -12/5 , Angle B in Quadrant III, sin B = - 3/5

1. tan ( A + B) =

a. -63/16

b. -33/56

c. 63/16

d. 33/56

2.tan (A - B)

a. -63/16

b. 33/56

c. 63/16

d. -33/56

My answer for question 1 is b, and for question 2 is c.

Answer 1

tan(A+B) = (tan A + tan B)/(1-tan A tan B)

tan(A-B)=(tan A - tan B)?(1+tan A tan B)

Plug in the values given and CAREFULLY check which angles are being described!