(1+cota_coseca)(1+tana+seca)=2
Answers
Answered by
0
Correct Question
Prove (1 + cotA - cosecA)(1 + tanA + secA) = 2.
Proof
(Given in attachment)
Procedure
1. Replace cotA by cosA/sinA and cosecA by 1/sinA. Similarly, tanA by sinA/cosA and secA by 1/cosA.
2. Take the L.C.M in second steps.
3. Group both bracket terms such that they match identity (a + b)(a - b) = a² - b². [Note: Here a = sinA + cosA]
4. Open brackets and remember that cos²A + sin²A = 1.
5. Similar terms will cancel and we will be left by 2.
→ L.H.S = R.H.S
Hence Proved
Attachments:
Similar questions