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If Sec A + Tan A = 4, then the value of (Cot A + 1)/(Cot A – 1) is1. 65/82. – 23/73. 17/194. 11/16 |
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Answer» Correct Answer - Option 2 : – 23/7 Given Sec A + Tan A = 4 Concept Sec2 A – Tan2A = 1 (a - b)2 = a2 - 2ab + b2 Calculation Sec = 4 – Tan A Squaring on both sides Sec2A = 16 + Tan2A – 8 Tan A ⇒ 1 + Tan2A = 16 + Tan2A – 8 Tan A ⇒ 1 – 16 = - 8 Tan A ⇒ 15/8 = Tan A So, Cot A = 8/15 Now, [(8/15) + 1]/[(8/15) – 1] ⇒ [(8 + 15)/15]/[(8 – 15)/15] ⇒ -23/7 |
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