Determine whether the statement is true or false.Justify your answer.
The equation $2 \sin 4 t - 1 = 0$ has four times the number of solutions in the interval [0,2π)as the equation $2 \sin t - 1 = 0$ .

A)False
B)True

Question

Determine whether the statement is true or false.Justify your answer. ​
The equation $2 \sin 4 t - 1 = 0$ has four times the number of solutions in the interval [0,2π)as the equation $2 \sin t - 1 = 0$ .
​
A)False
B)True

Quizplus · Accepted Answer

The equation $2 \sin 4t - 1 = 0$ involves the sine function with a frequency four times that of $2 \sin t - 1 = 0$. This means it completes four cycles in the interval [0, 2π), resulting in four times the number of solutions.

Determine Whether the Statement Is True or False 2sin⁡4t−1=02 \sin 4 t - 1 = 02sin4t−1=0

Determine Whether the Statement Is True or False $2 \sin 4 t - 1 = 0$