Example 13 - Chapter 3 Class 11 Trigonometric Functions
Last updated at Sept. 24, 2018 by Teachoo
Transcript
Example 13 - Chapter 3 Class 11 Trigonometric Functions - NCERT Prove that sin〖(𝑥+𝑦) 〗/sin〖(𝑥−𝑦) 〗 = tan〖𝑥 + tan𝑦 〗/tan〖𝑥 −tan𝑦 〗 L.H.S. sin〖( 𝑥 + 𝑦)〗/sin〖( 𝑥 − 𝑦)〗 = (sin𝑥 cos𝑦 + 〖𝑐𝑜𝑠 𝑥 sin〗𝑦)/(sin𝑥 cos𝑦 − 〖𝑐𝑜𝑠 𝑥 sin〗𝑦 ) R.H.S. tan〖𝑥 + tan𝑦 〗/(tan𝑥 − tan𝑦 ) = (sin𝑥/cos𝑥 + sin𝑦/cos𝑦 )/(sin𝑥/cos𝑥 − sin𝑦/cos𝑦 ) = ((sin𝑥 cos𝑦 + 〖𝑐𝑜𝑠 𝑥 sin〗𝑦)/cos〖𝑥 cos𝑦 〗 )/((sin𝑥 cos𝑦 − 〖𝑐𝑜𝑠 𝑥 sin〗𝑦)/cos〖𝑥 cos𝑦 〗 ) = (sin𝑥 cos𝑦 + 〖𝑐𝑜𝑠 𝑥 sin〗𝑦)/(sin𝑥 cos𝑦 − 〖𝑐𝑜𝑠 𝑥 sin〗𝑦 ) = L.H.S Hence L.H.S = R.H.S Hence proved
Examples
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Example 7
Example 8
Example 9
Example 10
Example 11
Example 12
Example 13 You are here
Example 14
Example 15
Example 16
Example 17
Example 18
Example 19
Example 20
Example 21
Example 22
Example 23
Example 24 Important
Example 25
Example 26
Example 27 Important
Example 28 Important
Example 29
Chapter 3 Class 11 Trigonometric Functions
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About the Author
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.