ICSE Class 10 Answered
Tan^2A+tan^2B=(sin^2A-sin^2B)/cos^2A-cos^2B
Prove
Asked by Sunita | 03 Jun, 2018, 14:09: PM
![begin mathsize 16px style tan squared straight A plus tan squared straight B
equals fraction numerator sin squared straight A over denominator cos squared straight A end fraction plus fraction numerator sin squared straight B over denominator cos squared straight B end fraction
equals fraction numerator sin squared straight A open parentheses 1 minus sin squared straight B close parentheses plus sin squared straight B open parentheses 1 minus sin squared straight A close parentheses over denominator cos squared straight A cross times cos squared straight B end fraction
equals fraction numerator sin squared straight A minus sin squared straight B cross times sin squared straight A plus sin squared straight B minus sin squared straight A cross times sin squared straight B over denominator cos squared straight A cross times cos squared straight B end fraction
equals fraction numerator sin squared straight A plus sin squared straight B minus 2 sin squared straight A cross times sin squared straight B over denominator cos squared straight A cross times cos squared straight B end fraction
Please space do space check space your space question end style](https://images.topperlearning.com/topper/tinymce/cache/cdfa5f4850941101dde976ea5ee7f674.png)
Answered by Arun | 04 Jun, 2018, 19:00: PM
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