Question
Download Solution PDFযদি sec A + tan A = 3 হয়, তাহলে cos A এর মান কত?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
Sec θ + tan θ = 3
ব্যবহৃত সূত্র:
Sec2 θ - tan2 θ = 1 অথবা (sec θ - tan θ) x (Sec θ + tan θ) = 1
গণনা:
(sec θ - tan θ) (sec θ + tan θ) = 1
sec θ - tan θ = 1/3 ....(1)
sec θ + tan θ = 3 ....(2) (প্রদত্ত)
সমীকরণ (1) এবং (2) সমাধান করে
⇒ Sec θ = 10/6 = 5/3
⇒ cos θ = 3/5 (cos θ = (1/sec θ)
∴ সঠিক উত্তর হল 3/5
Last updated on Jun 13, 2025
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