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Example 12 - Chapter 3 Class 11 Trigonometric Functions (Term 2)
Last updated at March 16, 2023 by Teachoo
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Example 12 You are here
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Example 16 Important
Example 17 Important
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Example 20 Deleted for CBSE Board 2023 Exams
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Example 22 Important Deleted for CBSE Board 2023 Exams
Example 23 Deleted for CBSE Board 2023 Exams
Example 24 Important Deleted for CBSE Board 2023 Exams
Example 25 Important
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Example 27 Important
Example 28 Important
Example 29 Important
Chapter 3 Class 11 Trigonometric Functions
Serial order wise
- Ex 3.1
- Ex 3.2
- Ex 3.3
- Ex 3.4
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Examples
- Miscellaneous
Transcript
Example 12 Find the value of tan 13𝜋/12 tan (13 𝜋" " )/12 = tan ("π + " 𝜋/12) = tan 𝜋/12 = tan (𝜋/4−𝜋/6) Using tan (𝑥 – 𝑦) = (tan𝑥 − tany)/(1 + tan 𝑥 tany ) = (tan〖 π/4〗 − tan π/6)/(1 + tan π/4 tan〖 π/6〗 ) = (1 − 1/√3)/(1 + 1/( √3)) = (√3 − 1)/(√3 + 1) = (√3 − 1)/(√3 + 1) × (√3 − 1)/(√3 − 1) = (√(3 )− 1)2/(√3 + 1)(√3 − 1) = (3 + 1 − 2√3)/((√3)2 − (1)2) = (4 − 2√3)/(3 − 1) = 2 – √𝟑
