- Class 6 Maths
- Class 6 Science
- Class 6 Social Science
- Class 6 English
- Class 7 Maths
- Class 7 Science
- Class 7 Social Science
- Class 7 English
- Class 8 Maths
- Class 8 Science
- Class 8 Social Science
- Class 8 English
- Class 9 Maths
- Class 9 Science
- Class 9 Social Science
- Class 9 English
- Class 10 Maths
- Class 10 Science
- Class 10 Social Science
- Class 10 English
- Class 11 Maths
- Class 11 Computer Science (Python)
- Class 11 English
- Class 12 Maths
- Class 12 English
- Class 12 Economics
- Class 12 Accountancy
- Class 12 Physics
- Class 12 Chemistry
- Class 12 Biology
- Class 12 Computer Science (Python)
- Class 12 Physical Education
- GST and Accounting Course
- Excel Course
- Tally Course
- Finance and CMA Data Course
- Payroll Course
- Learn English
- Learn Excel
- Learn Tally
- Learn GST (Goods and Services Tax)
- Learn Accounting and Finance
- GST Demo
- GST Tax Invoice Format
- Accounts Tax Practical
- Tally Ledger List
- GSTR 2A - JSON to Excel
Ad-free version
Login
Ex 3.3
Ex 3.3, 1 Important
![Ex 3.3, 5 - Find the value of tan 15° [with Video] - Trigonometry (2)](https://i0.wp.com/delan5sxrj8jj.cloudfront.net/custom-static-1/html/img/arrow_down.svg "Ex 3.3, 5 - Find the value of tan 15° [with Video] - Trigonometry (2)"){kind=icon}
Ex 3.3, 2 Important
Ex 3.3, 3 Important
Ex 3.3, 4
Ex 3.3, 5 (i) Important
Ex 3.3, 5 (ii) You are here
Ex 3.3, 6 Important
Ex 3.3, 7
Ex 3.3, 8 Important
Ex 3.3, 9 Important
Ex 3.3, 10
Ex 3.3, 11 Important
Ex 3.3, 12
Ex 3.3, 13 Important
Ex 3.3, 14
Ex 3.3, 15
Ex 3.3, 16 Important
Ex 3.3, 17
Ex 3.3, 18 Important
Ex 3.3, 19
Ex 3.3, 20
Ex 3.3, 21 Important
Ex 3.3, 22 Important
Ex 3.3, 23 Important
Ex 3.3, 24
Ex 3.3, 25
Examples→
Chapter 3 Class 11 Trigonometric Functions
Serial order wise
- Ex 3.1
- Ex 3.2
-
Ex 3.3
- Examples
- Miscellaneous
- Principal and General Solutions
Last updated at April 16, 2024 by Teachoo
![Ex 3.3, 5 - Find the value of tan 15° [with Video] - Trigonometry (29)](https://i0.wp.com/d1avenlh0i1xmr.cloudfront.net/ee185f5b-d081-4d2a-b732-d539b30c8890/slide12.jpg "Ex 3.3, 5 - Find the value of tan 15° [with Video] - Trigonometry (29)")
![Ex 3.3, 5 - Find the value of tan 15° [with Video] - Trigonometry (30)](https://i0.wp.com/d1avenlh0i1xmr.cloudfront.net/a86c90bb-b971-4b50-8038-69dffed6ce6b/slide13.jpg "Ex 3.3, 5 - Find the value of tan 15° [with Video] - Trigonometry (30)")
![Ex 3.3, 5 - Find the value of tan 15° [with Video] - Trigonometry (31)](https://i0.wp.com/d1avenlh0i1xmr.cloudfront.net/3df5ed60-d450-436f-95c3-ce43df4591e6/slide14.jpg "Ex 3.3, 5 - Find the value of tan 15° [with Video] - Trigonometry (31)")
Transcript
Ex 3.3, 5Find the value of:(ii) tan 15°tan 15° = tan (45° – 30°)= (tan 45° − 〖 tan〗〖30°〗)/(1 + tan 45°tan〖30°〗 )= (1 − 1/√3)/(1 + 1 × 1/√3) = ((√3 − 1" " )/√3)/((√3 + 1" " )/√3) = (√3 −1)/√3 × √3/(√3 + 1) = (√𝟑 − 𝟏)/(√𝟑 + 𝟏)Rationalizing= (√3 − 1)/(√3 + 1) × (√3 − 1)/(√3 − 1)= (√3 − 1)2/(√3 + 1)(√3 − 1) Using (a – b)2 = a2 + b2 – 2ab= ((√3)2 + 12 − 2" " × √3 × 1)/(√3 + 1)(√3 − 1) = (3 + 1 − 2√3)/(√(3 )+ 1)(√3 − 1) Using (a – b ) (a + b) = a2 – b2= (𝟒 − 𝟐√𝟑)/((√𝟑)𝟐 − (𝟏)𝟐)= (4 − 2√3)/(3 − 1)= (2 (2 − √(3 )))/2= 2 – √𝟑Hence, tan 15° = 2 – √𝟑
Next: Ex 3.3, 6 Important → Go Ad-free
Facebook Whatsapp
![Ex 3.3, 5 - Find the value of tan 15° [with Video] - Trigonometry (59)](https://i0.wp.com/delan5sxrj8jj.cloudfront.net/custom-static-1/misc/Davneet_Singh.jpg "Ex 3.3, 5 - Find the value of tan 15° [with Video] - Trigonometry (59)")
Made by
Davneet Singh
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.
![Ex 3.3, 5 - Find the value of tan 15° [with Video] - Trigonometry (2024)](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mP8/h8AAvMB+NzmkbcAAAAASUVORK5CYII=)