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Find a If Tan 2a = Cot (A-24°). - Mathematics

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प्रश्न

Find A if tan 2A = cot (A-24°).

योग

उत्तर

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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2018-2019 (March) 30/1/3

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