Request a call back

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

CBSE Class 12-science Answered

tan¹x + tan¹y=π+tan¹(x+y/1-xy), xy>1;x, y>0
Asked by joymaibam38 | 26 Dec, 2021, 09:04: AM
answered-by-expert Expert Answer
x > 0, y > 0
rightwards double arrow 0 less than tan to the power of negative 1 end exponent straight x less than straight pi over 2 space space & space space 0 less than tan to the power of negative 1 end exponent straight y less than straight pi over 2
Let space tan to the power of negative 1 end exponent straight x equals straight alpha space and space tan to the power of negative 1 end exponent straight y equals straight beta
rightwards double arrow straight x equals tan space straight alpha space & space tan space straight beta equals straight y
tan open parentheses straight alpha plus straight beta close parentheses equals open parentheses tanα plus tanβ close parentheses open parentheses 1 minus tanα space tanβ close parentheses
equals open parentheses straight x plus straight y close parentheses open parentheses 1 minus xy close parentheses
less than 0
straight pi over 2 less than straight alpha plus straight beta less than straight pi
rightwards double arrow negative straight pi over 2 less than straight alpha plus straight beta minus straight pi less than 0
tan open parentheses straight alpha plus straight beta minus straight pi close parentheses equals negative tan open parentheses straight pi minus open parentheses straight alpha plus straight beta close parentheses close parentheses equals equals tan open parentheses straight alpha plus straight beta close parentheses equals fraction numerator straight x plus straight y over denominator 1 minus xy end fraction
rightwards double arrow tan to the power of negative 1 end exponent open parentheses fraction numerator straight x plus straight y over denominator 1 minus xy end fraction close parentheses equals straight alpha plus straight beta minus straight pi
rightwards double arrow tan to the power of negative 1 end exponent straight x plus tan to the power of negative 1 end exponent straight y equals straight pi plus tan to the power of negative 1 end exponent open parentheses fraction numerator straight x plus straight y over denominator 1 minus xy end fraction close parentheses
Answered by Renu Varma | 26 Dec, 2021, 12:25: PM

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
×