tan4A + tan2A is equal to:

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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
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SSC CPO : General Intelligence & Reasoning Sectional Test 1
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Detailed Solution

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Given:

tan4A + tan2A

Formula Used:

1 + tan2A = sec2A

tan2A = sec2A - 1

Calculation:

tan4A + tan2A = tan2A (tan2A + 1) 

⇒ (sec2A - 1) sec2A

⇒ sec4A - sec2A

∴ The correct answer is option (1).

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