# How do you solve #tan^2x-2sec x+1=0# for #0°<=x<=360°# ?

##### 1 Answer

Sep 29, 2015

#### Explanation:

As

This leaves us with;

After combining like terms the resulting formulae is:

We can then factorise by

By the null factor law we can then establish two possible solutions for x: when

As the secant of x can never equal zero this possibility can be discounted which leaves

To solve for

Now the values of x that satisfy this equality that are within the domain

Hope this helps :)