निम्नलिखित में से कौन सा विकल्प सही त्रिकोणमितीय सर्वसमिका नहीं है?

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SSC CGL 2023 Tier-I Official Paper (Held On: 21 Jul 2023 Shift 1)
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  1. 1 + cot2θ ≡ cosec2θ
  2. 1 + tan2θ ≡ sec2θ
  3. 1 - sin2θ ≡ cos2θ
  4. cos2θ - sin2θ ≡ 1  

Answer (Detailed Solution Below)

Option 4 : cos2θ - sin2θ ≡ 1  
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Detailed Solution

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गणना 

विकल्प 1: 1 + cot2θ = cosec2θ; सही है। 

विकल्प 2: 1 + tan2θ = sec2θ; सही है। 

विकल्प 3: 1 - sin2θ =cos2θ; सही है। 

विकल्प 4: cos2θ - sin2θ = cos(2θ) सही नहीं है। ​

उत्तर 4 है। 

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