यदि tan 53° = 4/3 है, तो tan8° का मान क्या है?

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  1. 1/6
  2. 1/8
  3. 1/7
  4. 1/5

Answer (Detailed Solution Below)

Option 3 : 1/7
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दिया गया है:

tan 53° = 4/3

प्रयुक्त सूत्र:

tan(x – y) = (tanx – tany)/(1 + tanxtany)

गणना:

हम जानते हैं, 8° = 53° - 45°

Tan8° = tan(53° - 45°)

⇒ tan8° = (tan53° - tan45°)/(1 + tan53° tan45°)

⇒ tan8° = (4/3 – 1)/(1 + 4/3 × 1)

⇒ tan8° = (1/3)/(7/3)

⇒ tan8° = 1/7
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