What is the simplified value of $$(cosec^4 A - cot^2 A) - (cot^4 A + cosec^2 A)?$$
Expression : $$(cosec^4 A - cot^2 A) - (cot^4 A + cosec^2 A)$$
= $$(cosec^4A-cot^4A)+(-cosec^2A-cot^2A)$$
= $$[(cosec^2A+cot^2A)(cosec^2A-cot^2A)]+(-cosec^2A-cot^2A)$$
Using, $$(cosec^2A-cot^2A=1)$$
= $$(cosec^2A-cosec^2A)+(cot^2A-cot^2A)=0$$
=> Ans - (A)
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