Question

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

Answer 1

sec²x

Explanation:

Using the trigonometric identity

tan²x + 1 = sec²x

Answer 2

9514 1404 393

Answer:

sec² x

Explanation:

It is a trig identity that ...

tan² x + 1 = sec² x

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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