engineering mathematics MCQ #5550

What is the value of tan(A + B) in terms of tan(A) and tan(B)?

engineering mathematics MCQ #5550

  1. Question 1

    Q1. What is the value of tan(A + B) in terms of tan(A) and tan(B)?

    • A) (tan(A) + tan(B)) / (1 - tan(A) tan(B))
    • B) (tan(A) - tan(B)) / (1 + tan(A) tan(B))
    • C) (tan(A) + tan(B)) / (1 + tan(A) tan(B))
    • D) (tan(A) - tan(B)) / (1 - tan(B) tan(A))

    Answer: (tan(A) + tan(B)) / (1 - tan(A) tan(B))

    Explanation: Using the sum formula for tangent, tan(A + B) = (tan(A) + tan(B)) / (1 - tan(A) tan(B)), derived from sum and difference identities.