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ICSE Class 9 Answered

Please solve these questions.
Asked by Kanwaranita10 | 06 Feb, 2019, 09:41: PM
Expert Answer
begin mathsize 12px style tan space A space equals space c o t space B space equals space fraction numerator cos space B over denominator sin space B end fraction space equals space fraction numerator sin left parenthesis 90 minus B right parenthesis over denominator cos open parentheses 90 minus B close parentheses end fraction space equals space tan left parenthesis 90 minus B right parenthesis
H e n c e space A space equals space 90 minus B space space space o r space A plus B space equals space 90 end style
 
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begin mathsize 12px style tan space theta space plus space tan left parenthesis 90 minus theta right parenthesis space space equals space tan theta space plus space fraction numerator sin left parenthesis 90 minus theta right parenthesis over denominator cos left parenthesis 90 minus theta right parenthesis end fraction space equals space tan theta space plus space fraction numerator cos theta over denominator sin theta end fraction equals space fraction numerator sin theta over denominator cos theta end fraction space plus space 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 cos theta end fraction space equals space fraction numerator 1 over denominator sin theta space cos theta end fraction space equals space fraction numerator 1 over denominator cos open parentheses 90 minus theta close parentheses space cos theta end fraction space equals space s e c theta space s e c open parentheses 90 minus theta close parentheses end style
Answered by Thiyagarajan K | 06 Feb, 2019, 10:19: PM
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