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Question
Find A if tan 2A = cot (A-24°).
Solution
Given :
tan 2A = cot (A-24°)
implies that tan 2A = tan [90° - (A -24°)]
implies that tan 2A = tan [90° - A + 24°]
implies that tan 2A = tan [114° - A ]
implies that 2A = 114° - A
implies that 3A = 114°
implies that A = `(114°)/3`
implies that A = 38°
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