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| 1. |
1 by cosec a minus cot a minus 1 by sin a is equal to 1 by Sin A minus 1 by cosec A + cot a |
| Answer» LHS = 1/cosec A - COT A - 1/ sin A= 1/cosec A cot A * cosec A + cot A/ cosec A + cot A 1/sin A= (cosec A + cot A)/(cosec^2A -cot^2A) - 1/sin A= (cosec A + cot A)/(cosec^2A - cot^2A) - cosec A= cosec A + cot A - cosec A= cot A.RHS = 1/sin A - 1/cosecA+cotA= cosecA - (cosecA - cotA)/ (cosec^2A - cot^2A)= cosec A - (cosec A-cot A)= cosec A - cosec A + cot A= cot A.LHS = RHS.Hope this HELPS! | |