(sec A - tan A + 1)(sec A - tan A - 1) चे मूल्य शोधा ? 

This question was previously asked in
SSC CHSL Tier-I Exam 2022 Official Paper (Held On: 14 March, 2023 Shift 1)
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  1. 2 tan A 
  2. 2 tan A (tan A - sec A)
  3. 2 sec A 
  4. (1 + tan A)

Answer (Detailed Solution Below)

Option 2 : 2 tan A (tan A - sec A)
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Detailed Solution

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वापरलेले सूत्र:

(a - b)(a + b) = a2 - b2

गणना:

(sec A - tan A + 1)(sec A - tan A - 1) 

((sec A - tan A)2 - 12)

sec2 A + tan2 A - 2sec A tan A - 1

tan2 A + 1 + tan2 A - 2sec A tan A - 1

2tan2 A - 2sec A tan A

2 tan A (tan A - sec A)

∴ पर्याय 2 हे योग्य उत्तर आहे.

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