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  • The value of 2sinθ can be a + 1 by a, where a is a positive number, and a ≠ 1.

The value of 2sinθ can be a+1/a , where a is a positive number, and a ≠ 1.

Answers (1)

Answer.       [False]            
Solution.    We know that
  -1≤ sin θ ≤ 1
Multiply by 2.
-2≤ 2 sin θ ≤ 2
Here we found that value of 2 sin \theta is lies from – 2 to 2.
But if we take a > 0 and a \neq 1 then
a+\frac{1}{a}> 2
For example a = 3
3 + 1/3 = 3.33
Hence a+\frac{1}{a} is always greater than 2 in case of positive number except 1
But value of 2 sin \theta  is not greater than 2
Hence the given statement is false

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infoexpert27

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