CBSE Class 10 Answered
If 5x sec and 5/x = tan theta find the value of 5(xsquare-1/xsquare)
Asked by DG | 16 Feb, 2018, 18:30: PM
![begin mathsize 16px style 5 straight x equals secθ space and space 5 over straight x equals tanθ
We space know space that
sec squared straight theta minus tan squared straight theta equals 1
open parentheses 5 straight x close parentheses squared minus open parentheses 5 over straight x close parentheses squared equals 1
25 straight x squared minus 25 over straight x squared equals 1
25 open parentheses straight x squared minus 1 over straight x squared close parentheses equals 1
5 cross times 5 open parentheses straight x squared minus 1 over straight x squared close parentheses equals 1
5 open parentheses straight x squared minus 1 over straight x squared close parentheses equals 1 fifth end style](https://images.topperlearning.com/topper/tinymce/cache/3c1645755ea824a7555485e0be3e999d.png)
Answered by Sneha shidid | 16 Feb, 2018, 18:35: PM
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