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Capgemini Hiring sequences_and_series_gp — practice questions

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If tan α = √5 - 2, then the value of tan α - cot α is:Given 10 sin⁴α + 15 cos⁴α = 6, find the value of 27 cosec⁶α + 8 sec⁶α.If tan α = √3 + 2, then the value of tan α − cot α is: