If tan α + cot α = 2, then the value of (tan¹³ α + cot¹³ α) is

⇒ tanα + cotα = 2

⇒

⇒

⇒ 1 + tan²α -2tanα = 0

⇒ (tanα -1)² = 0

⇒ tanα = 1

⇒ cotα = 1

⇒ tan¹³α + cot¹³α = 1 + 1 = 2

⇒ Option A is incorrect as it does not satisfy the value

⇒ Option B is incorrect as it does not satisfy the value

⇒ Option D is incorrect as it does not satisfy the value