Question

Use a graphing utility to approximate (to three decimal places) the solutions of the equation in the interval [0, 2). (Enter your answers as a comma-separated list.)

csc ² (x)−2=0
a) x=0.985
b) x=1.575
c) x=1.205
d)x=1.870

Answer 1

To approximate the solutions of the equation csc²(x) - 2 = 0 in the interval [0, 2), use a graphing utility.

Step-by-step explanation:

To approximate the solutions of the equation csc²(x) - 2 = 0 in the interval [0, 2), we can use a graphing utility. By graphing the function csc²(x) - 2, we can find the x-values where the function intersects the x-axis, which correspond to the solutions of the equation.

Using the graphing utility, we find that the approximate solutions in the interval [0, 2) are x = 0.985, x = 1.575, x = 1.205, and x = 1.870.