Question

Part 1: use the zero product property to set up two equations that will lead to solutions to the original equation.

Part 2: Use a reciprocal identity to express the equation involving secant in terms of sine, cosine, or tangent.

Part 3: Solve each of the two equations in Part 1 for x, giving all solutions to the equation.

equation below

Answer 1

\[(\cos x -\sqrt{2}/2)(\sec x -1)=0\]

Answer 2

By the zero product property:
cos x - √2/2 = 0
and:
sec x - 1 = 0.