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CBSE Class 10 Answered

Page 406 Qst : 30   Cos θ              +    cos θ     = 2 Cosec +1 cosec - 1  
Asked by miniprasad | 23 Oct, 2018, 09:57: PM
answered-by-expert Expert Answer
begin mathsize 16px style
If space your space question space is space fraction numerator cos begin display style straight theta end style over denominator cos begin display style ecθ end style begin display style space end style begin display style plus end style begin display style space end style begin display style 1 end style end fraction space plus space fraction numerator begin display style cos straight theta end style over denominator cos begin display style ecθ end style begin display style space end style begin display style negative space end style begin display style space end style begin display style 1 end style end fraction space equals space 2 space tanθ comma
then space the space answer space to space this space is space as space given space below.
straight L. straight H. straight S space equals space fraction numerator begin display style cos straight theta end style over denominator cos begin display style ecθ end style begin display style space end style begin display style plus end style begin display style space end style begin display style 1 end style end fraction space plus space fraction numerator begin display style cosθ end style over denominator cos begin display style ecθ end style begin display style space end style begin display style negative space end style begin display style space end style begin display style 1 end style end fraction
space space space space space space space space space space space equals fraction numerator begin display style cosθ open parentheses cosecθ space minus space space 1 close parentheses space plus space cosθ open parentheses cosecθ space plus space space 1 close parentheses end style over denominator cos begin display style ecθ squared end style begin display style space end style begin display style minus end style begin display style space end style begin display style 1 end style end fraction
space space space space space space space space space space space equals space fraction numerator begin display style cosθcosecθ space minus space space cosθ space plus space cosθcosecθ space plus space space cosθ end style over denominator cos begin display style ecθ squared end style begin display style space end style begin display style minus end style begin display style space end style begin display style 1 end style end fraction
space space space space space space space space space space space equals fraction numerator begin display style 2 cosθcosecθ space end style over denominator cot squared straight theta begin display style space end style end fraction
space space space space space space space space space space space equals fraction numerator 2 cosθ cross times begin display style 1 over sinθ end style over denominator begin display style fraction numerator begin display style cos squared straight theta end style over denominator begin display style sin end style squared straight theta end fraction end style end fraction
space space space space space space space space space space space equals 2 fraction numerator sin begin display style straight theta end style over denominator cos begin display style straight theta end style end fraction
space space space space space space space space space space space equals space 2 space tanθ space equals straight R. straight H. straight S
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Answered by Yasmeen Khan | 24 Oct, 2018, 11:37: AM
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