Example 14 - Chapter 3 Class 11 Trigonometric Functions

Last updated at April 16, 2024 by Teachoo

Transcript

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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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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