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Q46. Prove that cose cannot be equal tox, where xis a positive number |
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Answer» If x<1, 1/x > 1 (Reciprocals' sign get inversed)Therefore, Sum of x and 1/x equals to a number greater than one. If x>1, 1/x < 1 Sum of x and 1/x equal to a number greater than 1.If x>-1, 1/x < -1Therefore, sum of x and 1/x is less than -1.If x< -1, 1/x > -1Therefore the sum of x and 1/x equals to a number less than -1. But the range of cosine is between -1 and +1.According to the above obtained results, the range of cosine does not satisfy the given expression x + (1/x).Therefore, it is impossible for cos a to equal x + (1/x). |
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