Saved Bookmarks
| 1. |
४ 4 सिद्ध करें कि : 2 011 = cosecA + cot A.! & COSA +sinA —1 |
|
Answer» (cosA-sinA+1)/(cosA+sinA-1) = cosecA+cotA L. H. S = Diving by sinA in numerator, we get (cotA-1+cosecA)/(cotA+1-cosecA) cotA+cosecA-1 / (cotA-cosecA+1) cotA+cosecA-(cosec²A-cot²A)/(cotA-cosecA+1) cotA+cosecA-[(cosecA+cotA)(cosecA-cotA)] / (cotA-cosecA+1) Taking common cosecA+cotA in numerator, we get cosecA+cotA [(1-cosecA +cotA)] /(cotA-cosecA+1) cosecA+cotA [(1-cosecA+cotA)] /(1-cosecA+cotA) Hence, (1-cosecA+cotA) will be canceled in numerator and denomination and Answer will be cosecA +cotA. |
|