Q42 / 160 · WBJEE 2010 · Mathematics
$$
\text { The number of points of intersection of } 2 y=1 \text { and } y=\sin x \text {, in }-2 \pi \leq x \leq 2 \pi \text { is }
$$
- A1
- B2 $(8)^{1+|\cos x|+\left|\cos { }^2\right|+}$
- C$\infty^3=4^3$
- Correct answerD4
Solution
Hints : $y=\frac{1}{2}=\sin \mathrm{x}$
$-2 \pi \leq x \leq 2 \pi$
$$
x=\frac{\pi}{6}, \frac{5 \pi}{6},-\frac{7 \pi}{6},-\frac{11 \pi}{6}
$$
No. of sol $^{\mathrm{n}} 4$
Hence, the correct answer is option: 'D'.