Request a call back

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

ICSE Class 10 Answered

prove that: 1+cosecA+cotA=2/1+tanA-secA
question image
Asked by saumitachaudhuri120 | 17 Jul, 2020, 08:41: PM
answered-by-expert Expert Answer
To prove: 1+cosecA+cotA = 2/{1+tanA-secA}
 
1 plus cosecA plus cotA equals 1 plus 1 over sinA plus cosA over sinA equals fraction numerator sinA plus cosA plus 1 over denominator sinA end fraction space space... space left parenthesis 1 right parenthesis
fraction numerator 2 over denominator 1 plus tanA minus secA end fraction
equals fraction numerator 2 over denominator 1 plus begin display style sinA over cosA end style minus begin display style 1 over cosA end style end fraction
equals fraction numerator 2 over denominator begin display style fraction numerator cosA plus sinA minus 1 over denominator cosA end fraction end style end fraction
equals fraction numerator 2 cosA over denominator cosA plus sinA minus 1 end fraction
equals fraction numerator 2 cosA open parentheses cosA plus sinA plus 1 close parentheses over denominator open parentheses cosA plus sinA close parentheses squared minus 1 end fraction
equals fraction numerator 2 cosA open parentheses cosA plus sinA plus 1 close parentheses over denominator cos squared straight A plus sin squared straight A plus 2 sinAcosA minus 1 end fraction
equals fraction numerator 2 cosA open parentheses cosA plus sinA plus 1 close parentheses over denominator 2 sinAcosA end fraction
equals fraction numerator cosA plus sinA plus 1 over denominator sinA end fraction
rightwards double arrow fraction numerator 2 over denominator 1 plus tanA minus secA end fraction equals fraction numerator cosA plus sinA plus 1 over denominator sinA end fraction space space... space left parenthesis 2 right parenthesis
From space left parenthesis 1 right parenthesis space and space left parenthesis 2 right parenthesis comma space we space have
1 plus cosecA plus cotA equals fraction numerator 2 over denominator 1 plus tanA minus secA end fraction
Answered by Renu Varma | 23 Jul, 2020, 01:34: PM
ICSE 10 - Maths
Asked by botlarajshekhar | 22 Mar, 2024, 09:37: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
Asked by ketanpatil168262884377 | 28 Nov, 2023, 05:37: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
Asked by shethdhanesh | 24 Oct, 2023, 10:41: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
Asked by shethdhanesh | 23 Oct, 2023, 05:49: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
Asked by ritu_parija | 24 Jun, 2023, 07:07: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
Asked by paresh0311 | 10 Mar, 2023, 03:22: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
Asked by rashikulkarni28 | 08 Jun, 2022, 02:51: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
Asked by rashikulkarni28 | 08 Jun, 2022, 02:47: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×