Question

If tan A = (1)/(2) and tan B = (1)/(3), then find the value of A + B.

• A. π
• B. (π)/(2)
• C. (π)/(4)
• D. -(π)/(4)

Hint:

If tan θ = 1, then θ = (π)/(4).

Answer 1

The Correct Option is C

Step 1: Formula for tan(A + B). tan(A+B) = (tan A + tan B)/(1 - tan A tan B)
Step 2: Substitution. tan(A+B) = (1)/(2) + (1)/(3)1 - (1)/(6) = 1
Step 3: Conclusion. A + B = (π)/(4)