CBSE Class 12-science Answered
Question written in the image .
![question image](https://images.topperlearning.com/topper/new-ate/topr_15498198466494180181.jpeg)
Asked by ritikabehera01 | 18 Feb, 2019, 16:13: PM
Formula to be used in this question : ![begin mathsize 12px style tan to the power of negative 1 end exponent x space minus space tan to the power of negative 1 end exponent y space equals space tan to the power of negative 1 end exponent open parentheses fraction numerator x minus y over denominator 1 plus space x space y end fraction close parentheses end style](https://images.topperlearning.com/topper/tinymce/cache/1e8606ab78678326b4d3618221380f0f.png)
![begin mathsize 12px style tan to the power of negative 1 end exponent x space minus space tan to the power of negative 1 end exponent y space equals space tan to the power of negative 1 end exponent open parentheses fraction numerator x minus y over denominator 1 plus space x space y end fraction close parentheses end style](https://images.topperlearning.com/topper/tinymce/cache/1e8606ab78678326b4d3618221380f0f.png)
![begin mathsize 12px style tan to the power of negative 1 end exponent open parentheses fraction numerator 1 over denominator 1 plus 1.2 end fraction close parentheses space equals space tan to the power of negative 1 end exponent open parentheses fraction numerator 2 minus 1 over denominator 1 plus 1.2 end fraction close parentheses space equals space tan to the power of negative 1 end exponent 2 space minus space tan to the power of negative 1 end exponent 1 end style](https://images.topperlearning.com/topper/tinymce/cache/611720206bcecd9fb7cb58228a46c603.png)
![begin mathsize 12px style tan to the power of negative 1 end exponent open parentheses fraction numerator 1 over denominator 1 plus 2.3 end fraction close parentheses space equals space tan to the power of negative 1 end exponent open parentheses fraction numerator 3 minus 2 over denominator 1 plus 2.3 end fraction close parentheses space equals space tan to the power of negative 1 end exponent 3 space minus space tan to the power of negative 1 end exponent 2 end style](https://images.topperlearning.com/topper/tinymce/cache/e74dc280a28511e74a76bb973450aa71.png)
...............etc
![begin mathsize 12px style S space equals space tan to the power of negative 1 end exponent open parentheses fraction numerator 1 over denominator 1 plus 1.2 end fraction close parentheses plus tan to the power of negative 1 end exponent open parentheses fraction numerator 1 over denominator 1 plus 2.3 end fraction close parentheses plus tan to the power of negative 1 end exponent open parentheses fraction numerator 1 over denominator 1 plus 3.4 end fraction close parentheses plus............................ plus tan to the power of negative 1 end exponent open parentheses fraction numerator 1 over denominator 1 plus n left parenthesis n plus 1 right parenthesis end fraction close parentheses end style](https://images.topperlearning.com/topper/tinymce/cache/89c3e77868a711c0ea54512b143a9c1d.png)
![begin mathsize 12px style S space equals space tan to the power of negative 1 end exponent 2 space minus tan to the power of negative 1 end exponent 1 plus tan to the power of negative 1 end exponent 3 minus tan to the power of negative 1 end exponent 2 space....................... plus tan to the power of negative 1 end exponent open parentheses n plus 1 right parenthesis close parentheses minus space tan to the power of negative 1 end exponent n
S space equals space tan to the power of negative 1 end exponent open parentheses n plus 1 close parentheses space minus space tan to the power of negative 1 end exponent 1 space space equals space tan to the power of negative 1 end exponent open parentheses fraction numerator n plus 1 minus 1 over denominator 1 plus left parenthesis n plus 1 right parenthesis end fraction close parentheses space equals space tan to the power of negative 1 end exponent open parentheses fraction numerator n over denominator n plus 2 end fraction close parentheses space equals space tan to the power of negative 1 end exponent theta
H e n c e space theta space equals space fraction numerator n over denominator n plus 2 end fraction
end style](https://images.topperlearning.com/topper/tinymce/cache/8172c559797ab8b20cb139e98bbf4923.png)
Answered by Thiyagarajan K | 19 Feb, 2019, 08:09: AM
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