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TRG014 · Trigonometry · Classes 10–12

Tangent Function

y = tan(Bx) = sin ÷ cos. It repeats every π/B and has vertical asymptotes where cos = 0.

📐 Formula

Period = π ÷ |B|; asymptotes at x = (π/2 + nπ) ÷ B

✏️ Worked example

B = 1: period π; asymptotes at x = ±π/2, ±3π/2 …

🌍 Where it is used

Slopes, angles of elevation and surveying.

❓ Quick check

Period of tan x: