What is the value of sec2θ - cot2(90°- θ)?  

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SSC CGL 2023 Tier-I Official Paper (Held On: 21 Jul 2023 Shift 1)
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  1. 2
  2. 1
  3. -1
  4. 0

Answer (Detailed Solution Below)

Option 2 : 1
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Detailed Solution

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Given:

sec2θ - cot2(90°- θ)

Concept Used:

According to the 1st quadrant of trigonometry,

cosec (90 - θ) = sec θ and cot (90 - θ) = tan θ.

According to the trigonometric identities,

sec2 θ - tan2 θ = 1

Calculation:

⇒ sec2θ - cot2(90°- θ)

sec2θ - tan2(θ)

⇒ 1

The answer is 1.

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