Question
Download Solution PDFअगर \(\sec θ - 2\cos θ = \frac{7}{2}\), जहां θ धनात्मक न्यूनकोण है, तो sec θ का मान है:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFगणना:
प्रश्न के अनुसार,
\(\sec θ - 2\cos θ = \frac{7}{2}\)
⇒ \(\sec θ - 2/sec θ = \frac{7}{2}\)
⇒ sec²θ - 2 = 7secθ /2
⇒ 2sec²θ - 7 secθ - 4 = 0
⇒ 2sec²θ + (-8 + 1) secθ - 4 = 0
⇒ 2secθ(secθ - 4) + 1(secθ - 4) = 0
⇒ (2secθ + 1)(secθ - 4) = 0
⇒ secθ = -1/2, 4
θ धनात्मक न्यूनकोण है, इसीलिए, secθ = 4
अतः, आवश्यक मान 4 है।
Last updated on Jul 12, 2025
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