Question

Solve the following equations for all solutions of x

sec^2x-2tanx=4

Answer 1

Sec^2 = 1 + Tan^2

Answer 2

So do I substitute that in for sec^2?

Like...tan^2-2tanx=3?

Answer 3

Yup, now u have a quadratic in Tan....(let Tan = x)

Answer 4

So should I make it equal zero by taking away 3?

Answer 5

Yes...it factors easily, then just solve it like any normal equation.

Answer 6

I came up with 3,-1??

Answer 7

I don't understand....?

Answer 8

If I factor out as (tan-3)(tan+1)=0??

Am I on the right track?

Answer 9

Yes.

Answer 10

And then if I say...
tan-3=0
tan+1=0

I get 3,-1?

Is that correct?