(1 - cos2A) sec2A is equal to:

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SSC CPO 2024 Official Paper-I (Held On: 28 Jun, 2024 Shift 2)
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  1. cosec2A
  2. tan2A
  3. cos2A cot2A
  4. cot2A

Answer (Detailed Solution Below)

Option 2 : tan2A
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SSC CPO : General Intelligence & Reasoning Sectional Test 1
50 Qs. 50 Marks 35 Mins

Detailed Solution

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Given:

Expression: (1 - cos2A) sec2A

Formula Used:

1. secA = 1/cosA

2. 1 - cos2A = sin2A

3. sinA/cosA = tanA

Calculation:

(1 - cos2A) sec2A

⇒ sin2A × sec2A

⇒ sin2A × (1/cos2A)

⇒ tan2A

The correct option is 2.

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