\(\frac{3}{5}\)(sec2 20° - cot2 70°) का मान क्या है?

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SSC CHSL Tier-I Exam 2022 Official Paper (Held On: 17 March, 2023 Shift 1)
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  1. 4/3
  2. 5/3
  3. 2/5
  4. 3/5

Answer (Detailed Solution Below)

Option 4 : 3/5
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गणना:

3/5(sec2 20° - cot2 70°)

⇒ 3/5(sec2 20° - tan2 20°)                     [tan θ  = cot(90 - θ)]

⇒ 3/5 × 1                              [sec2θ - tan2θ = 1]  

⇒ 3/5

∴ विकल्प 4 सही उत्तर है।

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