यदि sec2 A + tan2 A =   है, तो sec4 A - tan4 A का मान किसके बराबर है?

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SSC CGL 2022 Tier-I Official Paper (Held On : 02 Dec 2022 Shift 1)
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Option 3 :
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SSC CGL Tier 1 2025 Full Test - 01
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दिया गया है:

sec2 A + tan2 A = 

प्रयुक्त सूत्र:

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

∴ सही उत्तर विकल्प 3 है।

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