जर sec2 A + tan2 A = \(\frac{4}{{17}}\), तर sec4 A - tan4 A हे कशासमान आहे?

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SSC CGL 2022 Tier-I Official Paper (Held On : 02 Dec 2022 Shift 1)
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  1. \(\frac{{13}}{{17}}\)
  2. \(\frac{4}{{13}}\)
  3. \(\frac{4}{{17}}\)
  4. \(\frac{5}{{17}}\)

Answer (Detailed Solution Below)

Option 3 : \(\frac{4}{{17}}\)
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PYST 1: SSC CGL - English (Held On : 11 April 2022 Shift 1)
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Detailed Solution

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दिलेले आहे:

sec2 A + tan2 A = \(\frac{4}{{17}}\)

वापरलेली संकल्पना:

sec2 A - tan2 A = 1

a2 - b2 = (a + b)(a - b)

गणना:

⇒ sec4 A - tan4 A = (sec2 A + tan2 A )(sec2 A - tan2 A )

⇒ sec4 A - tan4 A = 4/17 × 1

⇒ sec4 A - tan4 A = 4/17

∴ पर्याय 3 हे योग्य उत्तर आहे. 

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