Question
Download Solution PDF5 sin2A + 3 cos2 A = 4, 00 எனில், tan A இன் மதிப்பு என்ன?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFகொடுக்கப்பட்டது:
5 sin2A + 3 cos2 A = 4, 00
பயன்படுத்தப்படும் கருத்து:
sin2θ + cos2θ = 1
கணக்கீடு:
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°
இப்போது, tan A = tan 45° = 1
∴ tan A இன் மதிப்பு 1.
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