Question
Download Solution PDFযদি Sin θ = \(\frac{4}{5}\) , tan θ - Cot θ-এর মান নির্ণয় কর।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
পাপ θ = 4/5
সূত্র ব্যবহৃত:
tan θ = P/B ; cot θ = B/P
পিথাগোরিয়ান উপপাদ্য দ্বারা:
⇒ H 2 = P 2 + B 2
যেখানে, P = লম্ব; B = ভিত্তি; H = h ypotenuse
গণনা:
সিন θ = 4/5 = P/H
পিথাগোরিয়ান উপপাদ্য দ্বারা :
⇒ H 2 = P 2 + B 2
⇒ 5 2 = 4 2 + B 2
⇒ B 2 = 5 2 - 4 2
⇒ B = √(25 - 16) = √9
⇒ B = 3
tan θ - খাট θ
⇒ (P/B) - (B/P)
⇒ (4/3) - (3/4) = (16 - 9)/12
⇒ 7/12
∴ সঠিক উত্তর হল 7/12 ।
Last updated on Jul 17, 2025
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