Question:
The number of solutions of the equation
$$
1+\sin ^{4} x=\cos ^{2} 3 x, x \in\left[-\frac{5 \pi}{2}, \frac{5 \pi}{2}\right]
$$
Correct Option: 3
JEE Main Previous Year
Solution:
The number of solutions of the equation
$$
1+\sin ^{4} x=\cos ^{2} 3 x, x \in\left[-\frac{5 \pi}{2}, \frac{5 \pi}{2}\right]
$$
Correct Option: 3