दिया गया है कि (1 + cos2A) = 3sinA.cosA हो, तो cotA का मान क्या है?

  1. -1 या 1/2
  2. 1 या 1/2
  3. 1 या -1/2
  4. -1 या -1/2

Answer (Detailed Solution Below)

Option 2 : 1 या 1/2
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Detailed Solution

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(1 + cos2A) = 3sinA.cosA

cos2A द्वारा विभाजित करके;

⇒ (1 + sec2A) = 3tanA

हम जानते हैं कि: sec2A = (1 + tan2A)

⇒ 2 + tan2A = 3tanA

⇒ tan2A – 3tanA + 2 = 0

⇒ (tan A – 1) (tan A – 2) = 0

⇒ tan A = 1 या 2

∴ cot A = 1 या ½
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