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

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प्रश्न

Find If A If tan 2A = cot (A-24°)

बेरीज

उत्तर

Given:
tan 2A = cot (A-24°)
⇒ tan 2A = tan[90° – (A – 24°)]
⇒ tan 2A = tan[90° – A + 24°]
⇒ tan 2A = tan [114° – A]
⇒ 2A = 114°  - A
⇒ 3A = 114° 
⇒ A = `(114°)/3`

⇒ A = 38°

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2018-2019 (March) Delhi Set 2

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