AP EAMCET · Maths · Trigonometric Equations
If \(0 < x < \pi / 2\), then
- A \(\frac{2}{\pi}>\frac{\sin x}{x}\)
- B \(\frac{2}{\pi} < \frac{\sin x}{x}\)
- C \(\frac{\sin x}{x}>1\)
- D \(2 < \frac{\sin x}{x}\)
Answer & Solution
Correct Answer
(B) \(\frac{2}{\pi} < \frac{\sin x}{x}\)
Step-by-step Solution
Detailed explanation
\(\because 0 0\) and \(u(x)\) is decreasing. \(\therefore u(x) < u(0)=0\). Thus, \(f^{\prime}(x) < 0\) \(\therefore f(x)\) decreasing function also. \(\because \quad 0 < x < \frac{\pi}{2}\)…
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