(sec A + tan A) (1 - sin A) का मान क्या है?

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RRB Technician Grade III Official Paper (Held On: 30 Dec, 2024 Shift 1)
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  1. tan A
  2. cos A
  3. sin A
  4. cot A

Answer (Detailed Solution Below)

Option 2 : cos A
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दिया गया है:

(sec A + tan A) (1 - sin A) का मान

प्रयुक्त सूत्र:

sin2A + Cos2A = 1

(a + b) (a - b) = (a2 - b2)  

गणना:

⇒ (sec A + tan A) (1 - sin A)

⇒ (1/Cos A + Sin A/Cos A) (1 - sin A)

⇒ [(1 + sin A)/cos A] × (1 - sin A)

⇒ [(1 + sin A) × (1 - sin A)] / Cos A

⇒ (1 - sin2 A)/cos A

हम जानते हैं कि 1 - sin2 A = cos2 A

cos2 A / cos A = cos A

∴ सही उत्तर विकल्प 2 है।

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