Example 12 - Chapter 3 Class 11 Trigonometric Functions

Last updated at August 17, 2026 by

Example 12 - Find value of tan 13pi/12 - Chapter 3 Class 11 - Examples

part 2 - Example 12 - Examples - Serial order wise - Chapter 3 Class 11 Trigonometric Functions

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Example 12 Find the value of tan 13πœ‹/12 tan (13 πœ‹" " )/12 = tan ("Ο€ + " 𝝅/𝟏𝟐) = tan 𝝅/𝟏𝟐 = 𝒕𝒂𝒏 (𝝅/πŸ’βˆ’π…/πŸ”) Using tan (π‘₯ – 𝑦) = (tanπ‘₯ βˆ’ tan⁑y)/(1 + tan π‘₯ tan⁑y ) = (tan⁑〖 Ο€/4γ€— βˆ’ tan Ο€/6)/(1 + tan Ο€/4 tan⁑〖 Ο€/6γ€— ) = (𝟏 βˆ’ 𝟏/βˆšπŸ‘)/(𝟏 + 𝟏/( βˆšπŸ‘)) = (βˆšπŸ‘ βˆ’ 𝟏)/(βˆšπŸ‘ + 𝟏) = (√3 βˆ’ 1)/(√3 + 1) Γ— (√3 βˆ’ 1)/(√3 βˆ’ 1) = (√(3 )βˆ’ 1)2/(√3 + 1)(√3 βˆ’ 1) = (3 + 1 βˆ’ 2√3)/((√3)2 βˆ’ (1)2) = (4 βˆ’ 2√3)/(3 βˆ’ 1) = 2 – βˆšπŸ‘

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