Question
Download Solution PDFsec A + tan A = 3 எனில், cos A இன் மதிப்பு:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFகொடுக்கப்பட்டது :
Sec θ + tan θ = 3
சூத்திரம் :
Sec2 θ - tan2 θ = 1 அல்லது (sec θ - tan θ) x (Sec θ + tan θ) = 1
கணக்கீடு :
(sec θ - tan θ) (sec θ + tan θ) = 1
sec θ - tan θ = 1/3 ....(1)
sec θ + tan θ = 3 ....(2) (கொடுக்கப்பட்டது)
(1) மற்றும் (2) சமன்பாடுகளைத் தீர்வு செய்வதன் மூலம்
⇒ Sec θ = 10/6 = 5/3
⇒ cos θ = 3/5 (cos θ = (1/sec θ)
∴ விடை3/5.
Last updated on Jun 13, 2025
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