What is sqrt(tan^2(x)+1) ?

The solution to sqrt(tan^2(x)+1) is sqrt(sec^2(x))

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simplify sqrt(tan^2(x)+1)

simplify

tan^{2} (x) + 1

sec^{2} (x)

Solution steps

tan^{2} (x) + 1

Rewrite using trig identities

= sec^{2} (x)

cot (arctan (x))

cos (arcsin (4 x))

sin (\frac{π}{2} + 2 kπ)

tan (arcsec (\frac{x}{3}))

cos (x + \frac{π}{4})