Question
If cot⁴ A + cot² A = 1, then find the value of cos⁴
A – 3cos² A.Solution
cot⁴ A + cot² A = 1 cot2A (cot2A+1) =1 cos2A/sin2A (cosec2A) =1 Cos2A =sin4A Cos2A =(1-cos2A)2 Cos2A =1+cos4A-2cos2A cos⁴ A – 3cos² A. = -1.
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