engineering mathematics MCQ #5525

What is the value of tan(45° + 30°)?

engineering mathematics MCQ #5525

  1. Question 1

    Q1. What is the value of tan(45° + 30°)?

    • A) (√3 + 1)/(√3 - 1)
    • B) (√3 - 1)/(√3 + 1)
    • C) 2 + √3
    • D) 2 - √3

    Answer: 2 + √3

    Explanation: Using tan(A + B) = (tan(A) + tan(B))/(1 - tan(A)tan(B)), we get tan(75°) = (1 + 1/√3)/(1 - 1/√3) = (√3 + 1)/(√3 - 1) = 2 + √3.