Simplify to a single trig function with no denominator.
tan? x + 1

sec²x

Step-by-step explanation:

Using the trigonometric identity

tan²x + 1 = sec²x

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  sec² x

Step-by-step explanation:

It is a trig identity that ...

  tan² x + 1 = sec² x

If you like, you can convince yourself of this using the usual equivalents for tan and sec:

  tan² x + 1 = sin² x/cos² x +1 = (sin² x + cos² x)/cos² x = 1/cos² x = sec² x

Since each term contains x, x= 0 is one answer Also as x^2 is a factor  it has duplicity 2.
Factoring:-

x^2 (x^2 - 4x + 3) = 0
x^2( x - 3)(x - 1) = 0

so x = 3 and x = 1 are also zeros

-   x = 0 (duplicity 2), x = 1 and x = 3.