Example 13 - Chapter 3 Class 11 Trigonometric Functions
Last updated at Dec. 16, 2024 by Teachoo
Last updated at Dec. 16, 2024 by Teachoo
Example 13 Prove that sinβ‘γ(π₯+π¦) γ/sinβ‘γ(π₯+π¦) γ = tanβ‘γπ₯ + tanβ‘π¦ γ/tanβ‘γπ₯ βtanβ‘π¦ γ Taking L.H.S. sinβ‘γ(π₯+π¦) γ/sinβ‘γ(π₯+π¦) γ = (π¬π’π§β‘γ π γ ππ¨π¬β‘γπ + ππ¨π¬β‘γπ π¬π’π§β‘γπ γ γ γ)/π¬π’π§β‘γπ ππ¨π¬β‘γπ β ππ¨π¬β‘γπ π¬π’π§β‘π γ γ γ Dividing the numerator and denominator by πππβ‘π πππβ‘π, = ((sinβ‘π₯ cosβ‘γπ¦ + cosβ‘γπ₯ sinβ‘π¦ γ γ)/cosβ‘γπ₯ cosβ‘π¦ γ )/((sinβ‘π₯ cosβ‘γπ¦ β cosβ‘γπ₯ sinβ‘π¦ γ γ)/cosβ‘γπ₯ cosβ‘π¦ γ ) = ((sinβ‘π₯ cosβ‘π¦)/(cosβ‘π₯ cosβ‘π¦ ) + γcos π₯ sinγβ‘γπ¦ γ/(cosβ‘π₯ cosβ‘π¦ ))/(sinβ‘γπ₯ cosβ‘π¦ γ/(cosβ‘π₯ cosβ‘π¦ ) β γπππ π₯ sinγβ‘π¦/γcos π₯ cosγβ‘π¦ ) = (sinβ‘π₯/cosβ‘π₯ + sinβ‘γπ¦ γ/cosβ‘π₯ )/(sinβ‘π₯/(cosβ‘π₯ ) β sinβ‘π¦/cosβ‘π¦ ) = πππ§β‘γπ + πππ§β‘π γ/πππ§β‘γπ β πππ§β‘π γ
Examples
Example 2 Important
Example 3
Example 4
Example 5 Important
Example 6 Important
Example 7 Important
Example 8
Example 9 Important
Example 10
Example 11 Important
Example 12
Example 13 You are here
Example 14
Example 15
Example 16 Important
Example 17 Important
Example 18 Important
Example 19
Example 20 Important
Example 21 Important
Example 22 Important
Question 1
Question 2
Question 3
Question 4
Question 5 Important
Question 6
Question 7 Important
About the Author
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 and Computer Science at Teachoo