please help soon

Question

Use a graphing utility to approximate the solutions (to three decimal places) of the equation in the interval [0, 2𝜋).

3 csc²(x) + 1.5 cot(x) = 15

Use a graphing utility to approximate the solutions (to three decimal places) of the equation in the given interval.

cos² x − 6 cos x − 1 = 0,    [0, 𝜋]

Answer 1

You can use desmos dot com (I'll let you figure out how to find it on the internet because if I write the url out, this website will hijack my answer).

Just go to the desmos graphing utility and type in y = 3csc²(x) + 1.5cot(x) then, using an additional formula line, type in y = 15. Then, using the "Graph Setting" (wrench in the upper right hand corner), select, under x-axis, a range of 0 < x < 2pi and you will see the graph of these two functions. You want to find the intersection points. Click on one of the curves and move your mouse to the intersection point and it will be displayed. I see x = 0.515, x = 2.726, x = 3.657, and x = 5.868

Do the same for the other function.