secC = cosec(C – 30°) ആണെങ്കിൽ, cotC – tanC യുടെ മൂല്യം കണ്ടെത്തുക.

  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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നൽകിയിരിക്കുന്നത്:

secC = cosec(C – 30°)

ഉപയോഗിച്ച ആശയം:

604ee93f5c9663cd7eb6d593 16425678162051

604ee93f5c9663cd7eb6d593 16425678162072

കണക്കുകൂട്ടൽ:

secC = cosec(C – 30°)

⇒ secC = sec(90° - (C – 30°))

താരതമ്യപ്പെടുത്തുമ്പോൾ,

⇒ C = 90° + 30° - C

⇒ 2C = 120°

⇒ C = 60°

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

∴ cotC – tanC യുടെ മൂല്യം -2/√3 ആണ്.

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