If 7 cosec?-3cot? = 7, prove that 7cot? - 3cosec? = 3.
Ans: 7 Cosec?-2Cot?=7
P.T 7Cot? - 3 Cosec?=3
7 Cosec?-3Cot?=7
⇒7Cosec?-7=3Cot?
⇒7(Cosec?-1)=3Cot?
⇒7(Cosec?-1) (Cosec?+1)=3Cot?(Cosec?+1)
⇒7(Cosec2?-1)=3Cot?(Cosec?+1)
⇒7Cot2?=3 Cot? (Cosec?+1)
⇒7Cot?= 3(Cosec?+1)
7Cot?-3 Cosec?=3