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CBSE Class 10 Answered

prove tan +tan(90-theta)=secthetasec(90-theta
Asked by tsanjay7585 | 21 Jan, 2019, 09:30: PM
answered-by-expert Expert Answer
begin mathsize 12px style tan open parentheses theta close parentheses space plus space tan open parentheses 90 minus theta close parentheses space equals space fraction numerator sin space theta over denominator cos theta end fraction plus fraction numerator sin open parentheses 90 minus theta close parentheses over denominator cos open parentheses 90 minus theta close parentheses end fraction space equals space fraction numerator sin space theta over denominator cos space theta end fraction plus fraction numerator cos theta over denominator sin theta end fraction space equals space fraction numerator sin squared theta plus cos squared theta over denominator sin theta space cos theta end fraction space equals space fraction numerator 1 over denominator cos left parenthesis 90 minus theta right parenthesis cos theta end fraction space equals space s e c theta space s e c left parenthesis 90 minus theta right parenthesis end style
Answered by Thiyagarajan K | 21 Jan, 2019, 10:24: PM
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