sec2 A + tan2 A = , అయిన sec4 A - tan4 A దేనికి సమానం:

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SSC CGL 2022 Tier-I Official Paper (Held On : 02 Dec 2022 Shift 1)
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Answer (Detailed Solution Below)

Option 3 :
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ఇచ్చినది:

sec2 A + tan2 A = 

ఉపయోగించిన భావన:

sec2 A - tan2 A = 1

a2 - b2 = (a + b)(a - b)

లెక్కింపు:

⇒ 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

∴ ఎంపిక 3 సరైన సమాధానం.

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