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ICSE Class 9 Answered

Please prove this question.
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Asked by Mohammed | 12 Oct, 2018, 10:30: AM
answered-by-expert Expert Answer
begin mathsize 18px style fraction numerator sinθ over denominator sin open parentheses 90 minus straight theta close parentheses end fraction plus fraction numerator cos begin display style straight theta end style over denominator cos begin display style open parentheses 90 minus straight theta close parentheses end style end fraction
equals fraction numerator begin display style sinθ end style over denominator begin display style cosθ end style end fraction plus fraction numerator begin display style cos straight theta end style over denominator begin display style sinθ end style end fraction
equals fraction numerator begin display style sin squared end style begin display style straight theta end style begin display style plus end style begin display style begin display style cos end style squared end style begin display style straight theta end style over denominator cosθ. sinθ end fraction
equals fraction numerator 1 over denominator cosθ. sinθ end fraction
equals sec open parentheses straight theta close parentheses. cosec open parentheses straight theta close parentheses
equals cosec open parentheses 90 minus straight theta close parentheses. sec open parentheses 90 minus straight theta close parentheses end style
Answered by Arun | 12 Oct, 2018, 11:27: AM
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