Question
Download Solution PDF(19 sin θ + 6 cot θ sin θ) এর সর্বোচ্চ মান নির্ণয় করো।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
ব্যঞ্জক: 19 sin θ + 6 cot θ sin θ
ব্যবহৃত সূত্র:
a sin θ + b cos θ রাশির সর্বোচ্চ মান √(a² + b²)।
গণনা:
ধরি y = 19 sin θ + 6 cot θ sin θ
আমরা জানি cot θ = cos θ / sin θ
প্রতিস্থাপন করে, y = 19 sin θ + 6 (cos θ)
এখানে, a = 19 এবং b = 6
সর্বোচ্চ মান = √(19² + 6²)
⇒ √(361 + 36) = √397
∴ (19 sin θ + 6 cot θ sin θ) এর সর্বোচ্চ মান হল √397।
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