An equation is given Enter your answers as a commaseparated

An equation is given. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.) cos(/2) 1 = 0 (a) Find all solutions of the equation. = Incorrect: Your answer is incorrect. (b) Find the solutions in the interval [0, 2). =

Solution

cos(theta/2)-1=0

cos(theta/2)=1

taking inverse on both sides

theta/2= 0

theta/2=2npi

theta=4pi*n

And in region [0,2pi)

theta=0