tan⁴A + tan²A యొక్క విలువ దేనికి సమానమైనది?

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SSC CPO 2024 Official Paper-I (Held On: 29 Jun, 2024 Shift 1)
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  1. sec⁴A - sec²A
  2. sec²A - sec⁴A
  3. sec²A + sec⁴A
  4. -(sec²A + sec⁴A)

Answer (Detailed Solution Below)

Option 1 : sec⁴A - sec²A
Free
SSC CPO : General Intelligence & Reasoning Sectional Test 1
50 Qs. 50 Marks 35 Mins

Detailed Solution

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ఇచ్చినది:

tan⁴A + tan²A

ఉపయోగించిన సూత్రం:

1 + tan²A = sec²A

tan²A = sec²A - 1

గణన:

tan⁴A + tan²A = tan²A (tan²A + 1)

= (sec²A - 1)(sec²A)

= sec⁴A - sec²A

కాబట్టి, సరైన సమాధానం ఎంపిక (1).

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