secC = cosec(C – 30°) எனில், cotC – tanC இன் மதிப்பு என்ன?

  1. 4/√3
  2. -√3/2
  3. -2/√3
  4. 3/√2

Answer (Detailed Solution Below)

Option 3 : -2/√3
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Detailed Solution

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கொடுக்கப்பட்டவை:

secC = cosec(C – 30°)

பயன்படுத்தப்பட்ட கருத்து:

604ee93f5c9663cd7eb6d593 16425678162051

604ee93f5c9663cd7eb6d593 16425678162072

கணக்கீடு:

secC = cosec(C – 30°)

⇒ secC = sec(90° - (C – 30°))

ஒப்பிடுகையில்,

⇒ C = 90° + 30° - C

⇒ 2C = 120°

⇒ C = 60°

 cotC – tanC = cot60° - tan60° = (1/√3) – (√3) = -2/√3

 ∴ cotC – tanC இன் மதிப்பு -2/√3 ஆகும்.

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