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CBSE Class 12-science Answered

Ques:
Asked by sourabh7jain | 16 Jun, 2016, 05:20: PM
answered-by-expert Expert Answer
begin mathsize 12px style tan open square brackets tan to the power of negative 1 end exponent open parentheses fraction numerator straight d over denominator 1 plus straight a subscript 1 straight a subscript 2 end fraction close parentheses plus tan to the power of negative 1 end exponent open parentheses fraction numerator straight d over denominator 1 plus straight a subscript 2 straight a subscript 3 end fraction close parentheses plus tan to the power of negative 1 end exponent open parentheses fraction numerator straight d over denominator 1 plus straight a subscript 3 straight a subscript 4 end fraction close parentheses plus... plus tan to the power of negative 1 end exponent open parentheses fraction numerator straight d over denominator 1 plus straight a subscript straight n minus 1 end subscript straight a subscript straight n end fraction close parentheses close square brackets
Replacing space apostrophe straight d apostrophe space by space straight a subscript 2 minus straight a subscript 1 comma space straight a subscript 3 minus straight a subscript 2 comma space straight a subscript 4 minus straight a subscript 3 comma.... straight a subscript straight n minus straight a subscript straight n minus 1 end subscript space in space different space tan to the power of negative 1 end exponent space terms comma space we space get

tan open square brackets tan to the power of negative 1 end exponent open parentheses fraction numerator straight a subscript 2 minus straight a subscript 1 over denominator 1 plus straight a subscript 1 straight a subscript 2 end fraction close parentheses plus tan to the power of negative 1 end exponent open parentheses fraction numerator straight a subscript 3 minus straight a subscript 2 over denominator 1 plus straight a subscript 2 straight a subscript 3 end fraction close parentheses plus tan to the power of negative 1 end exponent open parentheses fraction numerator straight a subscript 4 minus straight a subscript 3 over denominator 1 plus straight a subscript 3 straight a subscript 4 end fraction close parentheses plus... plus tan to the power of negative 1 end exponent open parentheses fraction numerator straight a subscript straight n minus straight a subscript straight n minus 1 end subscript over denominator 1 plus straight a subscript straight n minus 1 end subscript straight a subscript straight n end fraction close parentheses close square brackets
equals tan open square brackets open parentheses tan to the power of negative 1 end exponent straight a subscript 2 minus tan to the power of negative 1 end exponent straight a subscript 1 close parentheses plus open parentheses tan to the power of negative 1 end exponent straight a subscript 3 minus tan to the power of negative 1 end exponent straight a subscript 2 close parentheses plus open parentheses tan to the power of negative 1 end exponent straight a subscript 4 minus tan to the power of negative 1 end exponent straight a subscript 3 close parentheses plus... plus open parentheses tan to the power of negative 1 end exponent straight a subscript straight n minus tan to the power of negative 1 end exponent straight a subscript straight n minus 1 end subscript close parentheses close square brackets
equals tan open square brackets tan to the power of negative 1 end exponent straight a subscript straight n minus tan to the power of negative 1 end exponent straight a subscript 1 close square brackets space left parenthesis all space other space terms space get space cancelled right parenthesis
equals fraction numerator tan open parentheses tan to the power of negative 1 end exponent straight a subscript straight n close parentheses minus tan open parentheses tan to the power of negative 1 end exponent straight a subscript 1 close parentheses over denominator 1 plus tan open parentheses tan to the power of negative 1 end exponent straight a subscript straight n close parentheses minus tan open parentheses tan to the power of negative 1 end exponent straight a subscript 1 close parentheses end fraction
equals fraction numerator straight a subscript straight n minus straight a subscript 1 over denominator 1 plus straight a subscript straight n straight a subscript 1 end fraction end style
Answered by satyajit samal | 17 Jun, 2016, 12:17: PM
CBSE 12-science - Maths
Asked by tejaswinimogal12 | 26 Sep, 2023, 08:17: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths

open vertical bar table row cell left parenthesis straight b plus straight c right parenthesis hat 2 end cell ab ca row ab cell left parenthesis straight a plus straight c right parenthesis hat 2 end cell bc row ac bc cell left parenthesis straight a plus straight b right parenthesis hat 2 end cell end table close vertical bar equals 2 abc left parenthesis straight a plus straight b plus straight c right parenthesis hat 3
Asked by indupremachandran | 26 May, 2019, 01:08: PM
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CBSE 12-science - Maths
Asked by denpeter4 | 30 Apr, 2019, 01:30: PM
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CBSE 12-science - Maths
Asked by lekhakarthikeyan | 27 Dec, 2018, 02:23: AM
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CBSE 12-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
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CBSE 12-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
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CBSE 12-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
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