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CBSE Class 10 Answered

tan theta plus sec theta minus one /tan theta minus sec theta pluc one =1 + cos theta / cos theta
Asked by jha.physio.naresh365 | 08 Feb, 2019, 08:47: PM
answered-by-expert Expert Answer
Please check your RHS
fraction numerator tanθ plus secθ minus 1 over denominator tanθ minus secθ plus 1 end fraction
equals fraction numerator begin display style tanθ plus secθ minus open parentheses sec squared straight theta minus tan squared straight theta close parentheses end style over denominator begin display style tanθ minus secθ plus 1 end style end fraction
equals fraction numerator begin display style tanθ plus secθ minus open parentheses secθ minus tanθ close parentheses open parentheses secθ plus tanθ close parentheses end style over denominator begin display style tanθ minus secθ plus 1 end style end fraction
equals fraction numerator tanθ plus secθ open parentheses 1 minus secθ plus tanθ close parentheses over denominator tanθ minus secθ plus 1 end fraction
equals tanθ plus secθ
equals fraction numerator 1 plus sinθ over denominator cos begin display style straight theta end style end fraction
equals fraction numerator begin display style 1 plus sinθ end style over denominator begin display style cos straight theta end style end fraction
Answered by Arun | 10 Feb, 2019, 05:03: PM
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