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CBSE Class 10 Answered

Prove that:
question image
Asked by 1784393325200864 | 16 Jul, 2018, 06:23: AM
answered-by-expert Expert Answer
begin mathsize 16px style straight L. straight H. straight S space equals space fraction numerator sinθ over denominator 1 space minus space cosθ end fraction
space space space space space space space space space space equals space fraction numerator sinθ over denominator 1 space minus space cosθ end fraction cross times fraction numerator 1 space plus space cosθ over denominator 1 space plus space cosθ end fraction
space space space space space space space space space space equals space fraction numerator sinθ left parenthesis 1 space plus space cosθ right parenthesis over denominator 1 space minus space cos squared straight theta end fraction
space space space space space space space space space space equals fraction numerator sinθ left parenthesis 1 space plus space cosθ right parenthesis over denominator sin squared straight theta end fraction
space space space space space space space space space space equals fraction numerator 1 space plus space cosθ over denominator sinθ end fraction
space space space space space space space space space space equals 1 over sinθ space plus space cosθ over sinθ
space space space space space space space space space space equals space cosecθ space plus space cotθ
space space space space space space space space space space equals space straight R. straight H. straight S
Hence comma space proved. end style
Answered by Yasmeen Khan | 16 Jul, 2018, 10:39: AM
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