Grade 10Trigonometry
Which of the following statements about tan 10 ° is true?
1. 2. 3. 4.
Which of the following statements about tan 10 ° is true?
1.
2.
3.
4.
2 Answers
Arun
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
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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