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Question:

Find A if tan 2A = cot (A - 24°)

Solution:

tan⁡2A=cot⁡(A𕒶4∘)⟹cot⁡(90∘𕒶A)=cot⁡(A𕒶4∘)⟹90∘𕒶A=A𕒶4∘⟹3A=114∘⟹A=38∘