An equation is given. (enter your answers as a comma-separated list. round terms to three decimal places where appropriate. if there is no solution, enter no solution.) cos θ 2 − 1 = 0 (a) find all solutions of the equation.

where

Step-by-step explanation:

given equation is:

since no range is provided we can solve for all values of :

for one cycle of cos

for all cycles of cos

we should also include negative values.

we can divide each value by 2, to get the solutions for instead of

This is the solution of the equation .

In its most general form we can write all solutions of the equation in terms of

where or n is an integer.