Q19

Asked by sucharitasahoo1 | 26th Nov, 2017, 10:28: AM

Expert Answer:

begin mathsize 16px style cosec space straight theta plus cot space straight theta equals straight m
fraction numerator space 1 over denominator sin space straight theta end fraction space space plus space fraction numerator cos space straight theta over denominator sin space straight theta end fraction equals space straight m space
1 plus cos space straight theta space equals space straight m space sin space straight theta space
Squaring space both space the space sides space
left parenthesis 1 plus cos space straight theta right parenthesis squared space equals space straight m squared space left parenthesis sin space straight theta right parenthesis squared space
left parenthesis 1 plus cos space straight theta right parenthesis squared space equals space straight m squared space left parenthesis 1 minus left parenthesis cos squared space straight theta right parenthesis right parenthesis space
left parenthesis 1 plus cos space straight theta right parenthesis squared space equals space straight m squared space left parenthesis 1 minus cosθ right parenthesis left parenthesis 1 plus cos space straight theta right parenthesis space
left parenthesis 1 plus cos space straight theta right parenthesis space equals space straight m squared space left parenthesis 1 minus cosθ right parenthesis
cos space straight theta equals fraction numerator straight m squared minus 1 over denominator straight m squared plus 1 end fraction
end style

Answered by Arun | 26th Nov, 2017, 04:11: PM