Question

plzz guys its urgent help me with this question ??​

Answer 1

Answer:

Answer is cot⁴A.

Step-by-step explanation:

Cosec⁴A-2cosec²A+1.⇒Given.

we can write it as,

(cosec²A)²-2cosec²A*(1)+1.

It is in the form of a²-2ab+b²⇒(a-b)².

Here a=cosec²A; b=1.

Now,(cosec²A-1)²·············(1)

From the relation cosec²A-cot²A=1

cosec²A-1=cot²A...............(2)

Now subtitute (2) in (1).

(cot²A)²=cot⁴A

∴Cosec⁴A-2cosec²A+1⇒cot⁴A.

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