InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
सिद्ध कीजिए कि - `tan{(pi)/(4)+(1)/(2)cos^(-1).(a)/(b)}+tan{(pi)/(4)-(1)/(2)cos^(-1).(a)/(b)}=(2b)/(a).` |
|
Answer» माना `cos^(-1)((a)/(b))=theta,` तब `cos theta=(a)/(b)` `therefore L.H.S.=tan((pi)/(4)+(theta)/(2))+tan((pi)/(4)-(theta)/(2))` `=(1+tan.(theta)/(2))/(1-tan.(theta)/(2))+(1-tan.(theta)/(2))/(1-tan.(theta)/(2))+=((1+tan.(theta)/(2))^(2)+(1-tan.(theta)/(2))^(2))/((1-tan^(2).(theta)/(2)))` `=2((1+tan^(2).(theta)/(2))/(1-tan^(2).(theta)/(2)))=(2)/(cos theta)=(2b)/(a)` = R.H.S. यही सिद्ध करना था । |
|