Math, asked by MYMINDMYWEAPON, 11 months ago

If 2 sin square theta+5 cos theta= 4, find cos theta​

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Answered by vinayvsnaidup6t7c5
1
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Answered by Anonymous
0

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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