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

question 242

Multiple Choice

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) \(0.5 \pi , 1.5 \pi\)

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Definitions:

Axon

A long, slender projection of a neuron that conducts electrical impulses away from the neuron's cell body.

Synapse

The junction between neurons where the exchange of information occurs through chemical neurotransmitters.

Axon

A part of the neuron that transmits electrical impulses away from the neuron's cell body to other neurons, muscles, or glands.

Nucleus

The central part of an atom containing protons and neutrons, or a membrane-bound organelle in eukaryotic cells that contains the genetic material.