Question
Download Solution PDFsecC = cosec(C – 30°) ആണെങ്കിൽ, cotC – tanC യുടെ മൂല്യം കണ്ടെത്തുക.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFനൽകിയിരിക്കുന്നത്:
secC = cosec(C – 30°)
ഉപയോഗിച്ച ആശയം:
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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