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CBSE Class 10 Answered

pls explain
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Asked by gpnkumar0 | 25 Mar, 2018, 10:00: PM
answered-by-expert Expert Answer
begin mathsize 16px style tan space straight theta equals straight p over straight q
Now comma space fraction numerator psin space straight theta minus qcos space straight theta over denominator psin space straight theta plus qcos space straight theta end fraction
equals fraction numerator straight p cross times begin display style fraction numerator sin space straight theta over denominator cos space straight theta end fraction end style minus straight q cross times begin display style fraction numerator cos space straight theta space over denominator cos space straight theta end fraction end style over denominator straight p cross times fraction numerator sin space straight theta over denominator cos space straight theta end fraction plus straight q cross times fraction numerator cos space straight theta space over denominator cos space straight theta end fraction end fraction
equals fraction numerator ptan space straight theta minus straight q over denominator ptan space straight theta plus straight q end fraction
equals fraction numerator straight p cross times begin display style straight p over straight q end style minus straight q over denominator straight p cross times begin display style straight p over straight q end style plus straight q end fraction
equals fraction numerator begin display style fraction numerator straight p squared minus straight q squared over denominator straight q end fraction end style over denominator begin display style fraction numerator straight p squared plus straight q squared over denominator straight q end fraction end style end fraction
equals fraction numerator straight p squared minus straight q squared over denominator straight p squared plus straight q squared end fraction end style
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