Find all solutions to the equation in the interval [0, 2).
-$\sin 2 x + \cos 3 x = 0$
A) $0.3 \pi , 0.5 \pi , 0.7 \pi , 1.9 \pi$
B) $0.3 \pi , 0.5 \pi , 0.7 \pi , 1.1 \pi , 1.5 \pi , 1.9 \pi$
C) $0.3 \pi , 0.7 \pi , 1.1 \pi , 1.9 \pi$
D) $0.5 \pi , 1.5 \pi$

Question

Quizplus · Accepted Answer

This equation, $\sin 2x + \cos 3x = 0$, does not have a straightforward algebraic solution and requires graphical or numerical methods to solve accurately within the given interval [0, 2π). The correct answer includes values that satisfy the equation when plotted or calculated, considering the periodic nature of sine and cosine functions and their specific values at these points within the given interval.

Find All Solutions to the Equation in the Interval [0 sin⁡2x+cos⁡3x=0\sin 2 x + \cos 3 x = 0sin2x+cos3x=0

Find All Solutions to the Equation in the Interval [0 $\sin 2 x + \cos 3 x = 0$