Question
Download Solution PDF64 tan2θ + 81 cosec2θ + 76 এর নিম্নতম মান নির্ণয় করুন।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রয়োগ করা সূত্র :
1 + tan2θ = sec2θ
asec2θ + bcosec2θ এর নিম্নতম মান হল (√a + √b)2
গণনা :
64 tan2θ + 81 cosec2θ + 76 = 64 tan2θ + 81 cosec2θ + 64 + 12
⇒ 64 + 64 tan2θ + 81 cosec2θ + 12
⇒ 64(1 + tan2θ) + 81 cosec2θ + 12
⇒ 64 sec2θ + 81 cosec2θ + 12
64 sec2θ + 81 cosec2θ এর নিম্নতম মান = (√64 + √81)2
⇒ (8 + 9)2
⇒ 289
এখন,
64 sec2θ + 81 cosec2θ + 12 এর নিম্নতম মান = 289 + 12
⇒ 301
∴ 64 tan2θ + 81 cosec2θ + 76 এর নিম্নতম মান হল 301.
Last updated on May 29, 2025
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