Question
Download Solution PDFx = Sin A + Cos A এবং y = Sec A + Cosec A হলে নিম্নলিখিত কোনটি সত্য?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
x = Sin A + Cos A
y = Sec A + Cosec A
ব্যবহৃত সূত্র:
আমরা জানি:
গণনা:
x এর বর্গ:
⇒ x2 = (Sin A + Cos A)2
⇒ x2 = Sin2 A + Cos2 A + 2Sin A x Cos A
⇒ x2 = 1 + 2Sin A x Cos A
⇒ (x2 - 1)/2 = Sin A x Cos A ...........(i)
y এর বর্গ:
⇒ y = 1/Cos A + 1/Sin A
⇒ y = (Sin A + Cos A)/SinACosA
উপরের তথ্য থেকে মান বসিয়ে,
⇒ y = x/[(x2 - 1)/2]
⇒ y = 2x/(x2 - 1)
⇒ y(x2 - 1) = 2x
⇒ x2y - y = 2x
⇒ x2y = 2x + y
∴ বিকল্প 1 সঠিক উত্তর।
Last updated on Jun 17, 2025
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