Question
What is the simplified value of (Cosec^4 A - cot^2 A) - (cot^4 A + cosec^2 A)?
(Cosec^4 A - cot^2 A) - (cot^4 A + cosec^2 A) का सरलीकृत मान क्या है?
Answer A.
A.(Cosec^4 A - cot^2 A) - (cot^4 A + cosec^2 A)
As we know [1 + cot^2A = cosec^2A]
[cosec^4A = (1 + cot^2A)^2=1 + cot^4A + 2 cot^2A]
=cosec^4A – cot^4A – cot^2A – cosec^2A
=1 + cot^4A + 2 cot^2A – cot^4A – cot^2A – cosec^2A
= 1 + cot^2A – cosec^2A
= cosec^2A - cosec^2A
= 0
So the correct answer is option A.
A.(Cosec^4 A - cot^2 A) - (cot^4 A + cosec^2 A)
हम जानते है -[1 + cot^2A = cosec^2A]
[cosec^4A = (1 + cot^2A)^2=1 + cot^4A + 2 cot^2A]
=cosec^4A – cot^4A – cot^2A – cosec^2A
=1 + cot^4A + 2 cot^2A – cot^4A – cot^2A – cosec^2A
= 1 + cot^2A – cosec^2A
= cosec^2A - cosec^2A
= 0
इसलिए सही उत्तर विकल्प A है।
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