Question
Download Solution PDFযদি tan θ + cot θ = 6 হয়, তাহলে tan² θ + cot² θ এর মান কত?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
tan θ + cot θ = 6
ব্যবহৃত সূত্র:
tan θ = 1 / cot θ
(a + b)² = a² + b² + 2ab
গণনা:
tan θ + cot θ = 6
উভয় পক্ষে বর্গ করে,
⇒ (tan θ + cot θ)2 = tan2θ + cot2θ + 2tanθcotθ
⇒ 62 = tan2θ + cot2θ + 2 × 1 / cotθ × cotθ
⇒ 36 = tan2θ + cot2θ + 2
⇒ tan2θ + cot2θ = 34
∴ সঠিক উত্তর 34।
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