Request a call back

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

CBSE Class 10 Answered

Prove that 1+sinA -cosA/cosA-1+sinA =1+sinA/cosA
Asked by firdoshisk | 19 May, 2020, 06:22: PM
answered-by-expert Expert Answer
TO prove:- Prove that 1+cosA+sinA/1+cosA-sinA = 1+sinA/cosA
Consider space LHS
fraction numerator 1 plus cosA plus sinA over denominator 1 plus cosA minus sinA end fraction
equals fraction numerator 1 plus cosA plus sinA over denominator 1 plus cosA minus sinA end fraction cross times fraction numerator 1 plus cosA plus sinA over denominator 1 plus cosA plus sinA end fraction
equals fraction numerator open parentheses open parentheses 1 plus cosA close parentheses plus sinA close parentheses squared over denominator open parentheses 1 plus cosA close parentheses squared minus sin squared straight A end fraction
equals fraction numerator 1 plus cos squared straight A plus 2 cosA plus sin squared straight A plus 2 sinA open parentheses 1 plus cosA close parentheses over denominator 1 plus cos squared straight A plus 2 cosA minus sin squared straight A end fraction
equals fraction numerator 1 plus cos squared straight A plus sin squared straight A plus 2 cosA plus 2 sinA open parentheses 1 plus cosA close parentheses over denominator cos squared straight A plus 2 cosA plus 1 minus sin squared straight A end fraction
equals fraction numerator 2 plus 2 cosA plus 2 sinA open parentheses 1 plus cosA close parentheses over denominator 2 cos squared straight A plus 2 cosA end fraction
equals fraction numerator 1 plus cosA plus sinA open parentheses 1 plus cosA close parentheses over denominator cos squared straight A plus cosA end fraction
equals fraction numerator open parentheses 1 plus cosA close parentheses open parentheses 1 plus sinA close parentheses over denominator cosA open parentheses 1 plus cosA close parentheses end fraction
equals fraction numerator 1 plus sinA over denominator cosA end fraction
Hence comma space fraction numerator 1 plus cosA plus sinA over denominator 1 plus cosA minus sinA end fraction equals fraction numerator 1 plus sinA over denominator cosA end fraction
Answered by Renu Varma | 21 May, 2020, 11:04: AM

Application Videos

CBSE 10 - Maths
Asked by mukammilh19 | 07 May, 2024, 02:28: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by pm86982 | 10 Apr, 2023, 12:24: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by adinaditi29 | 14 Mar, 2022, 12:02: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by ambarishpatil7 | 28 Sep, 2021, 08:49: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by manish.mayuka | 02 May, 2021, 02:02: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by abhishekmonupatel27 | 23 Feb, 2021, 04:31: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
square root of fraction numerator 1 plus sin empty set over denominator 1 minus sin empty set end fraction end root plus square root of fraction numerator 1 minus sin empty set over denominator 1 plus sin empty set end fraction end root equals 2 s e c empty set
Asked by kushalkush371 | 27 Dec, 2020, 07:31: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by pramoddomarp121 | 26 Sep, 2020, 06:01: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by satishcharan533 | 24 Sep, 2020, 02:50: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by kalladaprem | 24 Sep, 2020, 08:20: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×