Example 14 - Show tan 3x tan 2x tan x = tan 3x - tan 2x - tan x - Examples

  1. Chapter 3 Class 11 Trigonometric Functions
  2. Serial order wise
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Example 14 Show that tan 3𝑥 tan 2𝑥 tan 𝑥 = tan 3𝑥 – tan 2𝑥 – tan 𝑥 We know that 3𝑥 = 2𝑥+ 𝑥 Therefe, tan 3𝑥 = tan⁡(2𝑥 + 𝑥) tan⁡3𝑥 = tan﷮2𝑥 + tan﷮𝑥﷯﷯﷮1− tan﷮2𝑥 tan﷮𝑥﷯﷯﷯ tan⁡3𝑥 – tan⁡3𝑥 tan⁡2𝑥 tan⁡𝑥 = tan⁡2𝑥 + tan⁡𝑥 tan⁡3𝑥 – tan⁡2𝑥 – tan⁡𝑥 = tan⁡3𝑥 tan⁡2𝑥 tan⁡𝑥 tan⁡3𝑥 tan⁡2𝑥 tan⁡𝑥 = tan⁡3𝑥 – tan⁡2𝑥 – tan⁡𝑥

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