If 2 sin square theta+5 cos theta= 4, find cos theta
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Step-by-step explanation:
2Sin²O + 5CosO = 4
5CosO - 2 = 2 - 2Sin²O
5CosO - 2 = 2Cos²O
2Cos²O - 5CosO + 2 = 0
2Cos²O - 4CosO - CosO + 2 = 0
2CosO(CosO-2) - (CosO-2) = 0
(2CosO-1) ( CosO - 2 ) = 0
CosO = 1/2 , 2
CosO का अधिकतम मान 1 होता है ।
इसलिए CosO = 2 संभव नहीं है।
अतः CosO = 1/2 होगा।
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