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Example 13 - Chapter 3 Class 11 Trigonometric Functions (Term 2)
Last updated at Sept. 24, 2018 by Teachoo
Examples
Example 1
Example 2 Important
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Example 5 Important
Example 6 Important
Example 7 Important
Example 8
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Example 10
Example 11 Important
Example 12
Example 13 You are here
Example 14
Example 15
Example 16 Important
Example 17 Important
Example 18
Example 19
Example 20 Deleted for CBSE Board 2023 Exams
Example 21 Deleted for CBSE Board 2023 Exams
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
Example 26
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 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
