Question

find all the solutions of sec theta - 2 =0. It says use "or" as necessary and gives an example of kpi. I have no idea how to begin this..

Answer 1

let theta=x
so, sec x -2 = 0
sec x = 2
cos x = 1/2
cos x = cos pi/3
x = pi/3
i.e theta = pi/3

Answer 2

theres other answer too like you said

Answer 3

Im thinking this, isolate the theta. \[\sec( \theta ) - 2 = 0, subtract 2,\sec ( \theta ) = -2, Divide by secant. ( \theta ) = inverse \sec(-2)\]

Answer 4

Oh alright, what are the other answers, I got the pi/3

Answer 5

legoauto is right as is my approach, They both get you to the same result pi/3. its just a matter of preference. I like dividing by whatever function im using to create the inverse of that. the tricky part is just remembering the domains

Answer 6

killbot, there is another answer too, but idk how to get it.

Answer 7

This is what the question is exactly asking.

Answer 8

another way to look at this is to graph
the function