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CBSE Class 11-science Answered

Find the value
question image
Asked by dineshchem108 | 03 Sep, 2018, 10:24: AM
answered-by-expert Expert Answer
begin mathsize 16px style tan fraction numerator 5 straight pi over denominator 12 end fraction minus tan straight pi over 12 minus square root of 3 tan fraction numerator begin display style 5 straight pi end style over denominator begin display style 12 end style end fraction tan fraction numerator begin display style straight pi end style over denominator begin display style 12 end style end fraction
Consider comma
tan open parentheses fraction numerator begin display style 5 straight pi end style over denominator begin display style 12 end style end fraction minus fraction numerator begin display style straight pi end style over denominator begin display style 12 end style end fraction close parentheses equals fraction numerator tan fraction numerator 5 straight pi over denominator 12 end fraction minus tan straight pi over 12 over denominator 1 plus tan fraction numerator 5 straight pi over denominator 12 end fraction tan straight pi over 12 end fraction
tan straight pi over 3 equals fraction numerator begin display style tan fraction numerator begin display style 5 straight pi end style over denominator begin display style 12 end style end fraction minus tan fraction numerator begin display style straight pi end style over denominator begin display style 12 end style end fraction end style over denominator begin display style 1 plus tan fraction numerator begin display style 5 straight pi end style over denominator begin display style 12 end style end fraction tan fraction numerator begin display style straight pi end style over denominator begin display style 12 end style end fraction end style end fraction
square root of 3 equals fraction numerator begin display style tan fraction numerator begin display style 5 straight pi end style over denominator begin display style 12 end style end fraction minus tan fraction numerator begin display style straight pi end style over denominator begin display style 12 end style end fraction end style over denominator begin display style 1 plus tan fraction numerator begin display style 5 straight pi end style over denominator begin display style 12 end style end fraction tan fraction numerator begin display style straight pi end style over denominator begin display style 12 end style end fraction end style end fraction
square root of 3 open parentheses 1 plus tan fraction numerator begin display style 5 straight pi end style over denominator begin display style 12 end style end fraction tan fraction numerator begin display style straight pi end style over denominator begin display style 12 end style end fraction close parentheses equals tan fraction numerator begin display style 5 straight pi end style over denominator begin display style 12 end style end fraction minus tan fraction numerator begin display style straight pi end style over denominator begin display style 12 end style end fraction.... left parenthesis straight i right parenthesis
tan fraction numerator begin display style 5 straight pi end style over denominator begin display style 12 end style end fraction minus tan fraction numerator begin display style straight pi end style over denominator begin display style 12 end style end fraction minus square root of 3 tan fraction numerator begin display style 5 straight pi end style over denominator begin display style 12 end style end fraction tan fraction numerator begin display style straight pi end style over denominator begin display style 12 end style end fraction
equals square root of 3 open parentheses 1 plus tan fraction numerator begin display style 5 straight pi end style over denominator begin display style 12 end style end fraction tan fraction numerator begin display style straight pi end style over denominator begin display style 12 end style end fraction close parentheses minus square root of 3 tan fraction numerator begin display style 5 straight pi end style over denominator begin display style 12 end style end fraction tan fraction numerator begin display style straight pi end style over denominator begin display style 12 end style end fraction
equals square root of 3 plus square root of 3 tan fraction numerator begin display style 5 straight pi end style over denominator begin display style 12 end style end fraction tan fraction numerator begin display style straight pi end style over denominator begin display style 12 end style end fraction minus square root of 3 tan fraction numerator begin display style 5 straight pi end style over denominator begin display style 12 end style end fraction tan fraction numerator begin display style straight pi end style over denominator begin display style 12 end style end fraction
equals square root of 3 end style
Answered by Sneha shidid | 03 Sep, 2018, 06:46: PM

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