Request a call back

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

CBSE Class 12-science Answered

if x = sin3t/(cos 2t)1/2,    y = cos3t/(cos 2t)1/2 , find dy/dx  explain in great detail
Asked by haroonrashidgkp | 24 Aug, 2018, 10:51: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight x equals fraction numerator sin cubed straight t over denominator square root of cos 2 straight t end root end fraction
dx over dt equals fraction numerator square root of cos 2 straight t end root open parentheses 3 sin squared tcost close parentheses minus sin cubed straight t cross times begin display style fraction numerator 1 over denominator 2 square root of cos 2 straight t end root end fraction end style cross times negative 2 sin 2 straight t over denominator cos 2 straight t end fraction
dx over dt equals fraction numerator square root of cos 2 straight t end root open parentheses 3 sin squared tcost close parentheses minus sin cubed straight t cross times begin display style fraction numerator 1 over denominator square root of cos 2 straight t end root end fraction end style cross times negative sin 2 straight t over denominator cos 2 straight t end fraction
dx over dt equals fraction numerator 3 cos 2 tsin squared tcost plus sin cubed tsin 2 straight t over denominator cos 2 straight t square root of cos 2 straight t end root end fraction.......... left parenthesis straight i right parenthesis
straight y equals fraction numerator cos cubed straight t over denominator square root of cos 2 straight t end root end fraction
dy over dt equals fraction numerator square root of cos 2 straight t end root open parentheses negative 3 cos squared tsint close parentheses minus cos cubed straight t cross times begin display style fraction numerator 1 over denominator 2 square root of cos 2 straight t end root end fraction end style cross times negative 2 sin 2 straight t over denominator cos 2 straight t end fraction
dy over dt equals fraction numerator negative 3 cos 2 tcos squared tsint plus cos cubed tsin 2 straight t over denominator cos 2 straight t square root of cos 2 straight t end root end fraction......... left parenthesis ii right parenthesis
Find space dy over dx equals fraction numerator begin display style dy over dt end style over denominator begin display style dx over dt end style end fraction equals negative cot space 3 straight t
end style
Answered by Sneha shidid | 27 Aug, 2018, 10:58: AM

Concept Videos

CBSE 12-science - Maths
Asked by tanyavishwakarma427 | 24 Nov, 2023, 11:56: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by unqio66 | 15 May, 2023, 11:48: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by Raunaksingh4742 | 25 Aug, 2022, 12:31: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by pinkidevnict | 08 Jun, 2022, 07:51: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by singhamanvns12345 | 30 May, 2022, 11:34: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by harshitsinghal14012002 | 22 May, 2022, 07:17: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by gagandhaliwal | 30 Oct, 2021, 05:28: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by panchichaudhary5060 | 10 Oct, 2020, 10:42: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by majethiyarishat9566.12sdatl | 21 Jun, 2020, 03:52: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by dineshchem108 | 01 May, 2019, 06:34: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×