Request a call back

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

CBSE Class 12-science Answered

tan^-1x-1/x-2+tan^-1x+1/x+2=pi/4.find value of x.   
Asked by sshas3199 | 23 Aug, 2020, 09:24: PM
answered-by-expert Expert Answer
Given: tan-1(x-1/x-2)+tan-1(x+1/x+2)=pi/4
rightwards double arrow tan to the power of negative 1 end exponent open parentheses fraction numerator begin display style fraction numerator straight x minus 1 over denominator straight x minus 2 end fraction end style plus begin display style fraction numerator straight x plus 1 over denominator straight x plus 2 end fraction end style over denominator 1 minus begin display style fraction numerator straight x minus 1 over denominator straight x minus 2 end fraction end style cross times begin display style fraction numerator straight x plus 1 over denominator straight x plus 2 end fraction end style end fraction close parentheses equals straight pi over 4
rightwards double arrow tan to the power of negative 1 end exponent open parentheses fraction numerator begin display style fraction numerator straight x squared plus straight x minus 2 plus straight x squared minus straight x minus 2 over denominator straight x squared minus 4 end fraction end style over denominator begin display style fraction numerator straight x squared minus 4 minus straight x squared plus 1 over denominator straight x squared minus 4 end fraction end style end fraction close parentheses equals straight pi over 4
rightwards double arrow tan to the power of negative 1 end exponent open parentheses fraction numerator 2 straight x squared minus 4 over denominator negative 3 end fraction close parentheses equals straight pi over 4
rightwards double arrow fraction numerator 2 straight x squared minus 4 over denominator negative 3 end fraction equals tan straight pi over 4 equals 1
rightwards double arrow 2 straight x squared equals 1
rightwards double arrow straight x equals plus-or-minus fraction numerator 1 over denominator square root of 2 end fraction
Answered by Renu Varma | 25 Aug, 2020, 11:25: AM

Concept Videos

CBSE 12-science - Maths
Asked by sdmbotch1123 | 19 Sep, 2023, 01:53: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by sdmbotch1123 | 10 Apr, 2023, 10:55: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by varma.renu9481 | 13 Mar, 2023, 11:51: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by w3ctiger | 12 Feb, 2023, 11:55: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by joymaibam38 | 26 Dec, 2021, 09:04: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by naikmanjuank | 17 Sep, 2020, 11:48: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by sshas3199 | 23 Aug, 2020, 09:24: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by raiannu064 | 16 Jan, 2020, 01:03: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by lovemaan5500 | 04 Jan, 2020, 11:12: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×