ICSE Class 10 Answered
prove that:
cosA - 2cos^3A/2sin^3A - sinA = cotA
Asked by Vru23 | 28 Jul, 2020, 20:18: PM
To prove: (cosA - 2cos3A)/(2sin3A - sinA) = cotA
![LHS equals fraction numerator cosA minus 2 cos cubed straight A over denominator 2 sin cubed straight A minus sinA end fraction
equals fraction numerator cosA open parentheses 1 minus 2 cos squared straight A close parentheses over denominator sinA open parentheses 2 sin squared straight A minus 1 close parentheses end fraction
equals fraction numerator cosA space open parentheses negative cos 2 straight A close parentheses over denominator sinA space open parentheses negative cos 2 straight A close parentheses end fraction space space space space........ space open parentheses Since comma space cos 2 straight A equals 1 minus 2 sin squared straight A equals 2 cos squared straight A minus 1 close parentheses
equals cosA over sinA
equals cotA
equals RHS
Hence comma space fraction numerator cosA minus 2 cos cubed straight A over denominator 2 sin cubed straight A minus sinA end fraction equals cotA](https://images.topperlearning.com/topper/tinymce/cache/02203decb735081cd1de280005b099f0.png)
Answered by Renu Varma | 29 Jul, 2020, 11:00: AM
Application Videos
Concept Videos
ICSE 10 - Maths
Asked by aritramalakar4 | 13 Apr, 2024, 20:33: PM
ICSE 10 - Maths
Asked by abhidlw4321 | 03 Oct, 2022, 21:34: PM
ICSE 10 - Maths
Asked by rashikulkarni28 | 10 Jun, 2022, 10:23: AM
ICSE 10 - Maths
Asked by rashikulkarni28 | 08 Jun, 2022, 15:14: PM
ICSE 10 - Maths
Asked by rashikulkarni28 | 01 Jun, 2022, 19:08: PM
ICSE 10 - Maths
Asked by anshujaiswal221502 | 08 Feb, 2022, 21:12: PM
ICSE 10 - Maths
Asked by priyankakumarisoni1608 | 08 Aug, 2021, 15:29: PM
ICSE 10 - Maths
Asked by rakshitsujata1 | 07 Apr, 2021, 08:44: AM