CBSE Class 11-science Answered
tanA+tanB+tanC=6
cotA+cotB+cotC=?
Asked by dineshchem108 | 23 Aug, 2018, 22:01: PM
![begin mathsize 18px style missing space straight A plus straight B plus straight C equals straight pi
tan left parenthesis straight A plus straight B plus straight C right parenthesis equals fraction numerator tan space straight A thin space plus space tan space straight B space plus tan space straight C space minus space tan left parenthesis straight A right parenthesis tan left parenthesis straight B right parenthesis tan left parenthesis straight C right parenthesis over denominator 1 minus tan left parenthesis straight A right parenthesis tan left parenthesis straight B right parenthesis minus tan left parenthesis straight B right parenthesis tan left parenthesis straight C right parenthesis minus tan left parenthesis straight A right parenthesis tan left parenthesis straight C right parenthesis end fraction
0 equals fraction numerator tan space straight A thin space plus space tan space straight B space plus tan space straight C space minus space tan left parenthesis straight A right parenthesis tan left parenthesis straight B right parenthesis tan left parenthesis straight C right parenthesis over denominator 1 minus tan left parenthesis straight A right parenthesis tan left parenthesis straight B right parenthesis minus tan left parenthesis straight B right parenthesis tan left parenthesis straight C right parenthesis minus tan left parenthesis straight A right parenthesis tan left parenthesis straight C right parenthesis end fraction
tan space straight A thin space plus space tan space straight B space plus tan space straight C space equals tan left parenthesis straight A right parenthesis tan left parenthesis straight B right parenthesis tan left parenthesis straight C right parenthesis equals 6...... given
so comma
cot left parenthesis straight A right parenthesis cot left parenthesis straight B right parenthesis cot left parenthesis straight C right parenthesis equals 1 over 6 end style](https://images.topperlearning.com/topper/tinymce/cache/ab359749695ae6cef34799c31f1b0158.png)
Answered by Arun | 24 Aug, 2018, 10:08: AM
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