InterviewSolution
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InterviewSolution
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Which of the following statements about `tan10^(@)` is true?A. It is a rational numberB. It is an inrrational number less than 2C. It is an irrational number greater than 2D. It is greater than 2 |
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Answer» Correct Answer - B::C Since tan `theta` is an increasing function on `(0,pi//2)` `thereforetan10^(@)lttan15^(@)=2-sqrt3lt2.` Thus option (c ) is true. Now, `tan30^(@)=(3 tan10^(@)-tan^(3)10^(@))/(1-3tan^(2)10^(@))` If `tan 10^(@)` is a trational number, then `(3tan10^(@)-tan^(3)10^(@))/(1-3tan^(2)10^(@))` must be a rational number, which is not true, Hence, `tan10^(@)` is an irrational number. |
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