Question

Find all the solutions of sec theta - 2 =0. It says use "or" as necessary and gives an example of kpi.

Answer 1

we are given the equation sec theta - 2 = 0 and is asked to determine the value of theta. We can simplify the equation into sec theta = 2. secant is the inverse of cos so the equation is transformed to cos theta = 1/2. cos theta is positive only in the first and fourth quadrants. hence theta is equal to pi/3 n and 5 pi over 3 n where n is an integer