Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 12-science Answered

if x = 3cost – 2 cos3t , y = 3sint – 2sin3t , show that dy/dx = cot t  explain in great detail
Asked by haroonrashidgkp | 24 Aug, 2018, 10:50: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight x equals 3 cost minus 2 cos cubed straight t
dx over dt equals negative 3 sint minus 2 cross times 3 cos squared straight t open parentheses negative sint close parentheses
dx over dt equals negative 3 sint plus 6 sintcos squared straight t.......... left parenthesis straight i right parenthesis
straight y equals 3 sint minus 2 sin cubed straight t
dy over dt equals 3 cost minus 6 sin squared tcost........ left parenthesis ii right parenthesis
dy over dx equals fraction numerator 3 cost minus 6 sin squared tcost over denominator negative 3 sint plus 6 sintcos squared straight t end fraction
dy over dx equals fraction numerator 3 cost open parentheses 1 minus 2 sin squared straight t close parentheses over denominator 3 sint open parentheses negative 1 plus 2 cos squared straight t close parentheses end fraction
dy over dx equals fraction numerator 3 cost cross times cos 2 straight t over denominator 3 sint cos 2 straight t end fraction.................... cos 2 straight t equals 1 minus 2 sin squared straight t equals 2 cos squared straight t minus 1
dy over dx equals cot space straight t
end stylebegin mathsize 16px style straight x equals 3 cost minus 2 cos cubed straight t
dx over dt equals negative 3 sint minus 2 cross times 3 cos squared straight t open parentheses negative sint close parentheses
dx over dt equals negative 3 sint plus 6 sintcos squared straight t.......... left parenthesis straight i right parenthesis
straight y equals 3 sint minus 2 sin cubed straight t
dy over dt equals 3 cost minus 6 sin squared tcost........ left parenthesis ii right parenthesis
dy over dx equals fraction numerator 3 cost minus 6 sin squared tcost over denominator negative 3 sint plus 6 sintcos squared straight t end fraction
dy over dx equals fraction numerator 3 cost open parentheses 1 minus 2 sin squared straight t close parentheses over denominator 3 sint open parentheses negative 1 plus 2 cos squared straight t close parentheses end fraction
dy over dx equals fraction numerator 3 cost cross times cos 2 straight t over denominator 3 sint cos 2 straight t end fraction.................... cos 2 straight t equals 1 minus 2 sin squared straight t equals 2 cos squared straight t minus 1
dy over dx equals cot space straight t
end style
Answered by Sneha shidid | 27 Aug, 2018, 10:05: AM
CBSE 12-science - Maths
Asked by givduf | 07 Jul, 2020, 08:12: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by majethiyarishat9566.12sdatl | 05 Jun, 2020, 07:09: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by majethiyarishat9566.12sdatl | 05 Jun, 2020, 04:57: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by rudrapandey14549 | 10 Jan, 2020, 06:32: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by lovemaan5500 | 03 Dec, 2019, 09:28: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by sd151299 | 27 Oct, 2019, 06:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by haroonrashidgkp | 24 Aug, 2018, 10:54: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by haroonrashidgkp | 24 Aug, 2018, 10:51: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by haroonrashidgkp | 24 Aug, 2018, 10:50: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by haroonrashidgkp | 24 Aug, 2018, 10:50: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×