Question

how to solve the trigonometric equation sec-2=0

Answer 1

Your equation has no variable. I assume you want to solve secx - 2 = 0. That means secx = 2. Since secx is the reciprocal of cosx, this means that cosx = (1/2). You should know the answer(s) to that equation.

Answer 2

ok but how would i answer that in intervals

Answer 3

Once again you have left the argument out of your trig function. This is a bad thing to do.
2cosx - 1 = 0
2cosx = 1
cosx = 1/2
Again, you should know that the answer to this. If you want it in degrees, then the answer is 60 degrees (and all angles coterminal with 60 degrees) and 300 degrees (and all coterminal angles)

Answer 4

What do you mean by "intervals"? The answers are distinct. There are infinte of them, but since you had an equation, not an inequality, the answer won't give you intervals.

Answer 5

i understand i didnt think it was intervals but that was how it was given the only thing else i was given was (0,2pie)

Answer 6

Oh, OK. That means that they don't want you to give ALL the possible answers (which are infinite), but only the ones between 0 and 2 pi (i.e. in the interval [0,2pi) ). So, that would be pi/3 (the radian equivalent of the 60 degrees I mentioned above) and 5 pi/3 (the equivalent of 300 degrees).

Answer 7

ok thank u

Answer 8

By the way, the 2 equations [ secx = 2 and 2cosx - 1 = 0 ] have exactly the same answers.

Answer 9

ok thank u so much