Question
Download Solution PDFযদি 5 sin2A + 3 cos2 A = 4, 00 হয়, তাহলে tan A -এর মান কত?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
5 sin2A + 3 cos2 A = 4, 0
অনুসৃত ধারণা:
sin2θ + cos2θ = 1
গণনা:
2 sin2A + 3(sin2A + cos2 A) = 4
2 sin2A + 3 = 4
2 sin2A = 1
sin2A = \(1 \over 2\)
sin A = \(1 \over √2\)
A = 45°
এখন, tan A = tan 45° = 1
∴ tan A -এর মান 1 -এর সমান।
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