Question
Download Solution PDFयदि 4 tan θ = 3 है, तो \(\frac{4 \sin θ-\cos θ+1}{4 \sin θ+\cos θ-1}=\) _________ ;
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
4 tan θ = 3
गणना:
पाइथागोरस प्रमेय को लागू करने पर
AC2 = AB2 + BC2
AC2 = 32 + 42
AC = 5
sinθ = 3/5
cosθ =4/5
\(\frac{4 \sin θ-\cos θ+1}{4 \sin θ+\cos θ-1}\)
उपरोक्त मानों को रखने पर,
⇒ \(\frac{4 \times 3/5-4/5+1}{4 \times 3/5+4/5-1}\)
⇒ \(\frac{12/5-4/5+1}{12/5+4/5-1}\) \(\frac{(12-4+5)/5}{(12 +4 - 5)/5}\)
⇒ \(\frac{13/5}{11/5}\) = \(\frac{13}{11}\)
∴ विकल्प 4 सही उत्तर है।
Last updated on Jul 8, 2025
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