1.

What is the simplified value of (cosec4 A – cot2 A) – (cot4 A + cosec2 A)?1). 02). 53). 64). 9

Answer»

To SIMPLIFY the EXPRESSION: (cosec4A – cot2A) – (cot4A + cosec2A)

[IDENTITY USED: 1 + cot2A = cosec2A]

⇒ cosec4A – cot4A – cot2A – cosec2A

Since, cosec4A = 1 + cot4A + 2 cot2A, we have

⇒ 1 + cot4A + 2 cot2A – cot4A – cot2A – cosec2A

⇒ 1 + cot2A – cosec2A

⇒ cosec2A - cosec2A

⇒ 0

∴ the correct OPTION is 1)


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