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To solve: Sin² A tan A + Cos²A Cot A + 2 Sin A Cos A = Tan A + Cot A = Sec A Cosec A

Sin³ A / Cos A + Cos³ A / Sin A + 2 Sin A Cos A = [ Sin⁴ A + Cos⁴ A + 2 Sin² A Cos² A ] / [Cos A Sin A] = ( sin² A + Cos² A)² / (Cos A Sin A) = Sec A Cosec A ================= Tan A + Cos A = sin A/ cos A + Cos A / Sin A = (sin² A + Cos²A)/ (sin A Cos A) = Sec A Cosec A