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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
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Example 6 Important
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Example 11 Important
Example 12
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Example 16 Important
Example 17 Important
Example 18
Example 19 Important
Example 20
Example 21
Example 22 Important
Example 23
Example 24 Important
Example 25 Important
Example 26 Important
Example 27 Important
Example 28 Important
Example 29 Important
Chapter 3 Class 11 Trigonometric Functions
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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.