यदि tan A - tan B - tan C = tan A tan B tan C है, तो B और C के संदर्भ में A का मान क्या है?

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SSC CGL 2022 Tier-I Official Paper (Held On : 07 Dec 2022 Shift 1)
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  1. A = B + C
  2. A = 2B - 2C
  3. A = B - C

Answer (Detailed Solution Below)

Option 1 : A = B + C
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SSC CGL Tier 1 2025 Full Test - 01
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दिया गया:

tan A - tan B - tan C = tan A tan B tan C

प्रयुक्त सूत्र:

tan (A - B) = 

गणना:

⇒ tan A - tan B - tan C = tan A tan B tan C

⇒ tan A - tan B = tan A tan B tan C + tan C

⇒ tan A - tan B = tan C(tan A tan B + 1)

⇒ tan C = 

⇒ tanC = tan(A - B)

⇒ C = A - B

⇒ A = B + C

⇒ अतः, विकल्प 1 सही है 

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