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CBSE Class 10 Answered

Sin a + cos a + 1/ sin a + cos a - 1 = 1/ sin a - tan a 
question image
Asked by adityaagrawal020503 | 21 Feb, 2019, 11:30: PM
answered-by-expert Expert Answer
Please recheck your question
it should be fraction numerator sin space straight a space minus space cos space straight a space plus 1 over denominator sin space straight a space plus space cos space straight a space minus space 1 end fraction equals fraction numerator 1 over denominator begin display style sec space straight a space minus space tan space straight a end style end fraction
find your answer here
https://www.topperlearning.com/doubts-solutions/prove-that-sin-a-cos-a-1-sin-a-cosa-1-1-sin-a-cosa-k5mpwu88
 
lastly, you can prove the required by 
fraction numerator left parenthesis 1 plus sin space straight A right parenthesis over denominator cos space straight A end fraction
equals sec space straight A space plus space tan space straight A
equals fraction numerator open parentheses sec space straight A space plus space tan space straight A close parentheses begin display style open parentheses sec space straight A space minus space tan space straight A close parentheses end style over denominator sec space straight A space minus space tan space straight A end fraction
equals fraction numerator begin display style open parentheses sec squared space straight A space minus space tan squared space straight A close parentheses end style over denominator sec space straight A space minus space tan space straight A end fraction
equals fraction numerator 1 over denominator sec space straight A space minus space tan space straight A end fraction
Answered by Arun | 24 Feb, 2019, 11:30: AM
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