engineering mathematics MCQ #5560

What is the value of tan(π/4 + x)?

engineering mathematics MCQ #5560

  1. Question 1

    Q1. What is the value of tan(π/4 + x)?

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

    Answer: (1 + tan(x)) / (1 - tan(x))

    Explanation: Using the sum formula for tangent, tan(π/4 + x) = (tan(π/4) + tan(x)) / (1 - tan(π/4) tan(x)) = (1 + tan(x)) / (1 - tan(x)), as tan(π/4) = 1.