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 :)