ICSE Class 10 Answered
1/(sec(alpha) - tan alpha) - 1/(cos alpha) = 1/(cos alpha) - 1/(sec(alpha) + tan alpha)
Asked by amit.clw4 | 03 Jun, 2022, 07:46: AM
![fraction numerator 1 over denominator sec space straight alpha minus tan space straight alpha end fraction minus fraction numerator 1 over denominator cos space straight alpha end fraction
equals fraction numerator 1 over denominator sec space straight alpha minus tan space straight alpha end fraction minus sec space straight alpha
equals fraction numerator sec squared space straight alpha minus tan squared space straight alpha over denominator sec space straight alpha minus tan space straight alpha end fraction minus sec space straight alpha
equals fraction numerator open parentheses sec space straight alpha minus tan space straight alpha close parentheses open parentheses sec space straight alpha plus tan space straight alpha close parentheses over denominator open parentheses sec space straight alpha minus tan space straight alpha close parentheses end fraction minus sec space straight alpha
equals open parentheses sec space straight alpha plus tan space straight alpha close parentheses minus sec space straight alpha
equals sec space straight alpha space minus space fraction numerator left parenthesis sec space straight alpha space minus space tan space straight alpha right parenthesis over denominator 1 end fraction space
equals fraction numerator 1 over denominator cos space straight alpha end fraction minus fraction numerator left parenthesis sec space straight alpha space minus space tan space straight alpha right parenthesis over denominator sec squared space straight alpha minus tan squared space straight alpha end fraction
equals fraction numerator 1 over denominator cos space straight alpha end fraction minus fraction numerator 1 over denominator sec space straight alpha plus tan space straight alpha end fraction](https://images.topperlearning.com/topper/tinymce/cache/67723c27f4f0756a61ba44c700030abf.png)
Answered by Arun | 03 Jun, 2022, 10:15: AM
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