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Example 13 - Chapter 3 Class 11 Trigonometric Functions (Term 2)
Last updated at March 22, 2023 by Teachoo
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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
