AP EAMCET · Maths · Trigonometric Equations
The smallest positive root of the equation \(\tan x-x=0\) lies in the interval
- A \(\left(0, \frac{\pi}{2}\right)\)
- B \(\left(\frac{\pi}{2}, \pi\right)\)
- C \(\left(\pi, \frac{3 \pi}{2}\right)\)
- D \(\left(\frac{3 \pi}{2}, 2 \pi\right)\)
Answer & Solution
Correct Answer
(C) \(\left(\pi, \frac{3 \pi}{2}\right)\)
Step-by-step Solution
Detailed explanation
Here, \(\tan x-x=0 \Rightarrow \tan x=x\) Clearly smallest positive root lies in the interval \[ \left(\pi, \frac{3 \pi}{2}\right) \text {. } \]
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