If sin A = 2x/(1 + x²) and cos A = (1 − x²)/(1 + x²), then what is tan A?
Show answer & explanation
Correct answer: A
Explanation
sinA = 2x/(1 + x²), cosA = (1 − x²)/(1 + x²)
tanA = sinA / cosA
tanA = [2x/(1 + x²)] ÷ [(1 − x²)/(1 + x²)]
= 2x/(1 − x²)