Example 14 - Chapter 3 Class 11 Trigonometric Functions

Last updated at Dec. 16, 2024 by Teachoo

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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 Therefore, 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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