Question
Download Solution PDFযদি 4 tan θ = 3 হয়, তাহলে \(\frac{4 \sin θ-\cos θ+1}{4 \sin θ+\cos θ-1}=\) _________
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
4 tan θ = 3
গণনা:
পিথাগোরাস উপপাদ্য প্রয়োগ
AC2 = AB2 + BC2
AC2 = 32 + 42
AC = 5
sinθ = 3/5
cosθ =4/5
\(\frac{4 \sin θ-\cos θ+1}{4 \sin θ+\cos θ-1}\)
উক্ত মানগুলি রাখুন
⇒ \(\frac{4 \times 3/5-4/5+1}{4 \times 3/5+4/5-1}\)
⇒ \(\frac{12/5-4/5+1}{12/5+4/5-1}\) = \(\frac{(12-4+5)/5}{(12 +4 - 5)/5}\)
⇒ \(\frac{13/5}{11/5}\) = \(\frac{13}{11}\)
∴ বিকল্প 4 সঠিক উত্তর।
Last updated on Jul 17, 2025
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