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Which of the following statements about tan 10 ° is true? 1. It is a rational number 2. It is an irrational number less than 2 3. It is an irrational number greater than 2 4. It is greater than 2

Which of the following statements about tan 10 ° is true?

 
1. 
 
 
2. 
 
 
3. 
 
 
4. 

Grade:10

2 Answers

Arun
25750 Points
4 years ago
Dear student
 
as we know tan 45 degree = 1
hence tan 10 degree will be less than 1 as tan is increasing function.
 
also it is irrational number
Mohitnagaraj
16 Points
3 years ago
Solution : 
Since tan θ is an increasing function on (0,π/2)
∴tan10∘
Thus option (c ) is true.
Now, tan30∘=3tan10∘−tan310∘1−3tan210∘
If tan10∘ is a trational number, then 3tan10∘−tan310∘1−3tan210∘ must be a rational number, which is not true,
Hence, tan10∘ is an irrational number.

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