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Asked by sonupbhoye1 | 29th Jan, 2020, 10:56: AM

Expert Answer:

begin mathsize 16px style straight L. straight H. straight S space equals space fraction numerator cotA plus cosecA minus 1 over denominator cotA minus cosecA plus 1 end fraction
space space space space space space space space space space space equals fraction numerator open parentheses cotA plus cosecA close parentheses minus open parentheses cosec squared straight A space minus space cot squared straight A close parentheses over denominator cotA minus cosecA plus 1 end fraction
space space space space space space space space space space space equals fraction numerator open parentheses cotA plus cosecA close parentheses minus open parentheses cosecA minus space cotA close parentheses open parentheses cosecA plus space cotA close parentheses over denominator cotA minus cosecA plus 1 end fraction
space space space space space space space space space space space equals fraction numerator open parentheses cotA plus cosecA close parentheses open square brackets 1 minus open parentheses cosecA minus space cotA close parentheses close square brackets over denominator cotA minus cosecA plus 1 end fraction
space space space space space space space space space space space equals cotA plus cosecA
space space space space space space space space space space space equals cosA over sinA plus 1 over sinA
space space space space space space space space space space space equals fraction numerator 1 plus cosA over denominator sinA end fraction
space space space space space space space space space space space equals space straight R. straight H. straight S end style

Answered by Yasmeen Khan | 29th Jan, 2020, 11:27: AM