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Quantitative Aptitude ( CCS) Trignometry

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Evaluate : ( Cot⁴Θ – Cosec⁴Θ + Cot²Θ + Cosec²Θ )

-1

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Explanation:

Given, (Cot⁴Θ – Cosec⁴Θ + Cot²Θ + Cosec²Θ)
= (Cot⁴Θ + Cot²Θ) – (Cosec⁴Θ – Cosec²Θ)
= Cot²Θ (Cot²Θ + 1) – Cosec²Θ (Cosec²Θ – 1)
= Cot²Θ.Cosec²Θ – Cosec²Θ.Cot²Θ
[? (Cot²Θ + 1) = Cosec²Θ & (Cosec²Θ – 1) = Cot²Θ]
= 0